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Paper Citation Record · LEDGER

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation

As of 8 August 2026, this Paper Citation Record lists 100 of 133 outbound references and 2 inbound Pith citation observations for arXiv:2509.03496.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2509.03496 v1

Coverage vector

measured 100 of 133 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-05T11:02:03.475055Z

measured 102 of 102 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-09T07:51:02.650886Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-07-09T07:56:04.752370Z

Reference resolution

100 of 133 outbound references displayed

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  • verified fuzzy0
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External citation measurements

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Outbound references

Observation 73c5c84f-2bf5-415e-b0c6-31eb95cfa1e7 · outbound

This paper cites Optimal-degree polynomial approximations for exponentials and Gaussian kernel density estimation.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Optimal-degree polynomial approximations for exponentials and Gaussian kernel density estimation

Reference 1

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 16ef7d05-cba2-4c9f-8a1d-32001d2191b5 · outbound

This paper cites Sample-efficient learning of interacting quantum systems.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Sample-efficient learning of interacting quantum systems

Reference 2

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Observation fcaeebee-aeb6-42db-82c6-f3daf4d57c7f · outbound

This paper cites an unresolved cited work.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Unresolved cited work

Reference 3

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Observation 6b4a4ead-ef72-4e60-9676-d20f39d7e00b · outbound

This paper cites Shende, and Aaron B.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Shende, and Aaron B

Reference 4

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Observation aeb1eac5-8e54-4027-94ac-0a56de4fc028 · outbound

This paper cites A polynomial quantum algorithm for approximating the Jones polynomial.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation A polynomial quantum algorithm for approximating the Jones polynomial

Reference 5

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Observation 81b37cdf-edfa-401b-a0cb-c65b6b708d9d · outbound

This paper cites Convergence properties of functional estimates for discrete distributions.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Convergence properties of functional estimates for discrete distributions

Reference 6

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Observation 77c40eb2-b310-4551-96d9-cdaa366ed892 · outbound

This paper cites Theory of Approximation.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Theory of Approximation

Reference 7

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Observation da294741-fd26-4a3d-94f0-1ea0ab9c99a7 · outbound

This paper cites Variable time amplitude amplification and quantum algorithms for linear algebra problems.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Variable time amplitude amplification and quantum algorithms for linear algebra problems

Reference 8

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Observation bf6aa550-2332-4b94-aaaf-80b33cb6aff8 · outbound

This paper cites Estimating Renyi entropy of discrete distributions.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Estimating Renyi entropy of discrete distributions

Reference 9

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Observation 10c59bfa-6d0a-4fe9-a317-94ed0c2cfecd · outbound

This paper cites Adiabatic quantum state generation and statistical zero knowledge.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Adiabatic quantum state generation and statistical zero knowledge

Reference 10

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Observation 57c4096d-c969-45f7-b2da-edf7122421a6 · outbound

This paper cites Berry, Graeme Ahokas, Richard Cleve, and Barry C.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Berry, Graeme Ahokas, Richard Cleve, and Barry C

Reference 11

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Observation 6ea0d22f-767a-4ab4-a49c-573dacba8bce · outbound

This paper cites Quantum expanders: motivation and construction.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Quantum expanders: motivation and construction

Reference 12

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Observation 35f0496e-c6cf-433d-875d-4b1f9bf9eaf3 · outbound

This paper cites An inequality for the trace of matrix products, using absolute values.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation An inequality for the trace of matrix products, using absolute values

Reference 13

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Observation b1ffc57b-2c15-4712-b16d-76685067d9fa · outbound

This paper cites Quantum lower bounds by polynomials.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Quantum lower bounds by polynomials

Reference 14

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Observation 80b11dfc-d824-4e4d-8036-0948e7c91b39 · outbound

This paper cites Berry, Andrew M.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Berry, Andrew M

Reference 15

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Observation c4c6d727-c592-4c70-9b5d-89d8d749a752 · outbound

This paper cites Berry, Andrew M.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Berry, Andrew M

Reference 16

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Observation cc750d46-1e0c-4223-a4e8-13c695fe6155 · outbound

This paper cites Direct measurement of nonlinear properties of bipartite quantum states.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Direct measurement of nonlinear properties of bipartite quantum states

Reference 17

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 44a3dcd9-81e8-4c9f-a152-d88f1b4ca5a0 · outbound

This paper cites Berry, Andrew M.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Berry, Andrew M

Reference 18

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Observation 460ea4e5-1dfc-4ea8-8a01-33ffce6c979e · outbound

This paper cites Quantum fingerprinting.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Quantum fingerprinting

Reference 19

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Observation 756c939c-7da7-46f7-a3fe-cc9d314e2f50 · outbound

This paper cites Classical lower bounds from quantum upper bounds.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Classical lower bounds from quantum upper bounds

Reference 20

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Observation 6e23caa6-6c9a-4aea-8606-24d565020d8a · outbound

This paper cites The complexity of approximating the entropy.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation The complexity of approximating the entropy

Reference 21

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Observation aeda21d4-fd2d-44dd-b9ee-a723f1bd5332 · outbound

This paper cites Quantum algorithms for classical probability distributions.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Quantum algorithms for classical probability distributions

Reference 22

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Observation 847109d4-754f-474a-9cc3-4c2a1ec49dd0 · outbound

This paper cites Sur la meilleure approximation de |x| par des polynomes de degr \'e s donn \'e s.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Sur la meilleure approximation de |x| par des polynomes de degr \'e s donn \'e s

Reference 23

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Observation 1170028d-28a6-4592-aff9-b000910f99f7 · outbound

This paper cites Sur la meilleure approximation de |x|^p par des polynômes de degrés très élevés.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Sur la meilleure approximation de |x|^p par des polynômes de degrés très élevés

Reference 24

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Observation c189155f-07f8-461d-92ae-e431d4a461a3 · outbound

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Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Unresolved cited work

Reference 25

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Observation be0c620c-0594-439d-a6f3-30e08a6eb178 · outbound

This paper cites Friedman, Richard A.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Friedman, Richard A

Reference 26

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Observation df8df350-188a-4078-b61a-6007f1c10476 · outbound

This paper cites Harrow, and Avinatan Hassidim.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Harrow, and Avinatan Hassidim

Reference 27

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Observation 21680aef-6132-4deb-a002-ecbb60ce9e6a · outbound

This paper cites Quantum amplitude amplification and estimation.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Quantum amplitude amplification and estimation

Reference 28

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Observation ff39a052-90b8-49f2-b682-111af73d603a · outbound

This paper cites The polynomial method strikes back: tight quantum query bounds via dual polynomials.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation The polynomial method strikes back: tight quantum query bounds via dual polynomials

Reference 29

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Observation 2141bcfe-bc60-4d47-a482-2ef82a47eb99 · outbound

This paper cites Learning entropy.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Learning entropy

Reference 30

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Observation 0b51124e-5f66-40f3-b753-3069a2527c3b · outbound

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Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Unresolved cited work

Reference 31

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Observation e2cbd78d-ca37-4dfb-8b9a-040c4808f2f4 · outbound

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Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Unresolved cited work

Reference 32

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Observation 18acf460-1fac-4c05-88dc-ee2a71149616 · outbound

This paper cites Approximate degree in classical and quantum computing.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Approximate degree in classical and quantum computing

Reference 33

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Observation 366a06be-067a-4986-af1d-b4df948e5255 · outbound

This paper cites Algebraic Approximation: A Guide to Past and Current Solutions.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Algebraic Approximation: A Guide to Past and Current Solutions

Reference 34

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Observation 3835f6a9-2600-4104-9a2a-d9acb25f2bad · outbound

This paper cites The power of block-encoded matrix powers: Improved regression techniques via faster Hamiltonian simulation.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation The power of block-encoded matrix powers: Improved regression techniques via faster Hamiltonian simulation

Reference 35

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Observation 24879b76-331d-4abe-b561-034a0e05d7e6 · outbound

This paper cites Uniformity testing when you have the source code.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Uniformity testing when you have the source code

Reference 36

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Observation be2ebb7c-6719-4cb0-b8b8-e087bc8bb95f · outbound

This paper cites Childs, Robin Kothari, and Rolando D.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Childs, Robin Kothari, and Rolando D

Reference 37

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Observation 32c31357-2a45-4e35-8be8-4e6970a885d6 · outbound

This paper cites A Variational Quantum Algorithm for Preparing Quantum Gibbs States.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation A Variational Quantum Algorithm for Preparing Quantum Gibbs States

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source=arxiv_source observed=2026-08-05T11:02:03.299282Z digest=sha256:c5a94fe306e6d5b3a59563068c7a349dcd2160561d92582d6df82ebde46a3f61

Observation 39bec9a3-8879-4e87-83ba-0bf110bd816f · outbound

This paper cites an unresolved cited work.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Unresolved cited work

Reference 39

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source=arxiv_source observed=2026-08-05T11:02:03.302101Z digest=sha256:11a8ef45e12e8406207f0b42a3015fe4647270b3b20cb0dc9f6d00645f7e87df

Observation f42eb996-43f4-423d-8a4e-2dbd45520129 · outbound

This paper cites Childs and Nathan Wiebe.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Childs and Nathan Wiebe

Reference 40

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source=arxiv_source observed=2026-08-05T11:02:03.304742Z digest=sha256:3230525e4c3c30b9e5c39ad8b23e83f2722766cde165a17cb5dd495accfe80fd

Observation b04d1be7-1fea-4c00-a082-5791ff088577 · outbound

This paper cites Improved sample upper and lower bounds for trace estimation of quantum state powers.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Improved sample upper and lower bounds for trace estimation of quantum state powers

Reference 41

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source=arxiv_source observed=2026-08-05T11:02:03.308460Z digest=sha256:3570a06db8c38dde9fac653cda55cbcb1ed3dee29235ff6ea84e93b00d80a6c8

Observation f95a93f5-73c3-4c24-b614-8f3f5c7f24c3 · outbound

This paper cites Unitarity estimation for quantum channels.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Unitarity estimation for quantum channels

Reference 42

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source=arxiv_source observed=2026-08-05T11:02:03.311732Z digest=sha256:28a4b1cd8a60d923f497990b1e7aadd845867052e5c1cf39ee2132e10d9cb244

Observation d3d8eac3-8ae4-4616-9906-e7f8d5e40fad · outbound

This paper cites Simultaneous Estimation of Nonlinear Functionals of a Quantum State.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Simultaneous Estimation of Nonlinear Functionals of a Quantum State

Reference 43

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source=arxiv_source observed=2026-08-05T11:02:03.314274Z digest=sha256:a74ea26f6f76272b668ec25237c1468bface81ffef0c3682f5682f932cba2c4d

Observation 42bdb3c5-fe27-44f5-9165-187fdd8d5f9d · outbound

This paper cites Ekert, Carolina Moura Alves, Daniel K.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Ekert, Carolina Moura Alves, Daniel K

Reference 44

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source=arxiv_source observed=2026-08-05T11:02:03.317482Z digest=sha256:7eea12d033b79b82ccf2167c58a8f9d2a65c1bbfc92e0eb2c3a3a28e12889dab

Observation b0d7096c-b2b4-4ea8-b7a8-55f4dfc08ab3 · outbound

This paper cites Uniform approximation of sgn x by polynomials and entire functions.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Uniform approximation of sgn x by polynomials and entire functions

Reference 45

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source=arxiv_source observed=2026-08-05T11:02:03.320062Z digest=sha256:bf8121fba79c65563e635437365b102dd0c388598d4eb2ce2dabfb77dbab6d5b

Observation ba2e378f-306e-43bc-a9f1-c1521dc20e44 · outbound

This paper cites Franchini, A.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Franchini, A

Reference 46

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source=arxiv_source observed=2026-08-05T11:02:03.322616Z digest=sha256:ce62e526929cd724f70c516bc7da034bc2d3556174566583f2b18c550dc4bf05

Observation 1aa788e3-1991-46a6-9622-226da77dcfc2 · outbound

This paper cites Ganelius.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Ganelius

Reference 47

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source=arxiv_source observed=2026-08-05T11:02:03.325173Z digest=sha256:0a78f192e9683abe2d37574d1510d36a6690bc3c1b61ee6166c6f393f3979bb0

Observation 0df55e44-89bf-4fad-b41a-4a9adf2a2564 · outbound

This paper cites On estimating the entropy of shallow circuit outputs.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation On estimating the entropy of shallow circuit outputs

Reference 48

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source=arxiv_source observed=2026-08-05T11:02:03.327874Z digest=sha256:bc1ccd42ba06cae20d58bb8833ebf8cd3f644fcd6a405127cb936f68936b7c19

Observation 7318120b-c1d7-4c79-a273-3d31e0fe337b · outbound

This paper cites Sublinear quantum algorithms for estimating von Neumann entropy.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Sublinear quantum algorithms for estimating von Neumann entropy

Reference 49

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source=arxiv_source observed=2026-08-05T11:02:03.330945Z digest=sha256:2a9dacf69afc8ddaf65bd34ffa209aa0297e7212037b9bade9a2e5e959ab22c0

Observation 9ec2dba7-2bd5-4e32-a9c0-4ce7858aad40 · outbound

This paper cites On the sample complexity of purity and inner product estimation.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation On the sample complexity of purity and inner product estimation

Reference 50

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source=arxiv_source observed=2026-08-05T11:02:03.333976Z digest=sha256:2716dc0818084327888b17c47934ef5c12cc0930524ec7bfc3df2ac565dabedc

Observation 2d51706b-a10b-4b30-89b9-6e4c54106087 · outbound

This paper cites Quantum Singular Value Transformation & Its Algorithmic Applications.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Quantum Singular Value Transformation & Its Algorithmic Applications

Reference 51

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source=arxiv_source observed=2026-08-05T11:02:03.337111Z digest=sha256:0aa23a476e98982fe3bc8024ee9a71c8d8146934417e389d72c6d5eb0f073dd8

Observation a13edd2a-c1ac-4d1f-97f5-9be8c215b180 · outbound

This paper cites Variabilit \`a e Mutabilit \`a : contributo allo studio delle distribuzioni e delle relazioni statistiche.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Variabilit \`a e Mutabilit \`a : contributo allo studio delle distribuzioni e delle relazioni statistiche

Reference 52

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source=arxiv_source observed=2026-08-05T11:02:03.339783Z digest=sha256:689a37c4644d3b9c73ab7aa667baf1f668f8d286c17ad9bcf28119791a1500a4

Observation 822c166e-7599-4b48-9af9-e8b0e38fa3bc · outbound

This paper cites Distributional property testing in a quantum world.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Distributional property testing in a quantum world

Reference 53

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source=arxiv_source observed=2026-08-05T11:02:03.342420Z digest=sha256:daeaed77c99bcc1a5260378b70c7d6b41458e95596f2ba7374ffc7286c15da48

Observation fe0f3a74-7ff6-4855-a41b-aed1c124848f · outbound

This paper cites an unresolved cited work.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Unresolved cited work

Reference 54

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source=arxiv_source observed=2026-08-05T11:02:03.345132Z digest=sha256:b1dc915fca0e5e59930ac3b09dce6fa9dc43db53ad3d4784db13a92b7efb25d6

Observation 9ab412e1-ade0-4737-9678-05c82f150912 · outbound

This paper cites Improved Quantum Algorithms for Fidelity Estimation.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Improved Quantum Algorithms for Fidelity Estimation

Reference 55

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source=arxiv_source observed=2026-08-05T11:02:03.347898Z digest=sha256:d0b2c4e32e8d29ab8e6f3ea2cceba76a362820ff7c87acb865a3a748f8d83769

Observation 1bd61aa9-0b09-46c3-8838-b49631a220df · outbound

This paper cites Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 56

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source=arxiv_source observed=2026-08-05T11:02:03.350778Z digest=sha256:978a4ad383823e96f95b03f01f9fd5593493ce5b93636d31c43147e10f75698d

Observation 39fff5aa-cef0-4f52-b028-35c972c56c64 · outbound

This paper cites Hastings, Iv \' a n Gonz \' a lez, Ann B.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Hastings, Iv \' a n Gonz \' a lez, Ann B

Reference 57

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source=arxiv_source observed=2026-08-05T11:02:03.353833Z digest=sha256:80c4152e8c36d9fc281feda5ecce51f795878d55e3b54af0553d397d45976ff9

Observation 6966b527-0357-44b1-9312-d63906030e14 · outbound

This paper cites Harrow, Zhengfeng Ji, Xiaodi Wu, and Nengkun Yu.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Harrow, Zhengfeng Ji, Xiaodi Wu, and Nengkun Yu

Reference 58

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source=arxiv_source observed=2026-08-05T11:02:03.357412Z digest=sha256:e63ec26fc3cd6f9918ab60ed85ab7255bf2d68dcf6dc3b4b24c71bbb44fa983f

Observation 0179a238-ed1f-4373-a9b3-4a2c60650511 · outbound

This paper cites Harrow, Avinatan Hassidim, and Seth Lloyd.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Harrow, Avinatan Hassidim, and Seth Lloyd

Reference 59

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source=arxiv_source observed=2026-08-05T11:02:03.360169Z digest=sha256:dcb4e97701bce0cfb52562e6b7e5a50b3d24a02344be904ff8f663f4d3e78d23

Observation cd21ed41-a950-4413-8e9f-cd8156b0e7ee · outbound

This paper cites On Krylov subspace approximations to the matrix exponential operator.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation On Krylov subspace approximations to the matrix exponential operator

Reference 60

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source=arxiv_source observed=2026-08-05T11:02:03.363061Z digest=sha256:226174022ca09517b5926f3bf9bdb07caac125481a04a4581c715f033eed79bf

Observation 1ba5e9fe-8656-4f83-8239-3b318c74ae97 · outbound

This paper cites Quantum Chebyshev's inequality and applications.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Quantum Chebyshev's inequality and applications

Reference 61

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source=arxiv_source observed=2026-08-05T11:02:03.366003Z digest=sha256:c09cf61be15224165509fe5faa5680cad4a2548123360d342e65c16f4ccc5582

Observation a0dd8b82-21e8-43ff-99ce-816b6be64359 · outbound

This paper cites Preiss, M.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Preiss, M

Reference 62

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source=arxiv_source observed=2026-08-05T11:02:03.368742Z digest=sha256:8df1e2105fd8a6430fd1c4b7b6d93946a3bfa25aa65c599aeab6e30fe35ad98f

Observation ac24b404-3ba6-4770-ac9f-b624bea364a9 · outbound

This paper cites Steiger, and Matthias Troyer.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Steiger, and Matthias Troyer

Reference 63

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source=arxiv_source observed=2026-08-05T11:02:03.371430Z digest=sha256:b1af23b0f248d4979fb46542cbf62403d685fe26b636a051e9eb1051df3f875a

Observation 891f21f3-6e73-47db-88a5-83f6a3db3edb · outbound

This paper cites Minimax estimation of functionals of discrete distributions.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Minimax estimation of functionals of discrete distributions

Reference 64

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source=arxiv_source observed=2026-08-05T11:02:03.374284Z digest=sha256:8d1fb70a93d21f0ede6d7db88d5a008597e3c91db8ac150714c274ae53249e12

Observation d53a941e-04d5-433b-9b4e-2f1a98ca5819 · outbound

This paper cites Maximum likelihood estimation of functionals of discrete distributions.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Maximum likelihood estimation of functionals of discrete distributions

Reference 65

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source=arxiv_source observed=2026-08-05T11:02:03.376974Z digest=sha256:076d4908b87c8fe290f10165590c0639fbb5f9d224845157700bbff66d44e0e9

Observation 074a2366-f1a9-4c7b-9c9a-e4e5025b47a8 · outbound

This paper cites Randomized linear algebra approaches to estimate the von Neumann entropy of density matrices.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Randomized linear algebra approaches to estimate the von Neumann entropy of density matrices

Reference 66

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source=arxiv_source observed=2026-08-05T11:02:03.379813Z digest=sha256:6245f9a690cdad9d797af4327395149d331305d683526c536d8ca1867a44927c

Observation f1730fd2-eeac-4307-89b9-08efc52d5955 · outbound

This paper cites Quantum lower bound for the collision problem with small range.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Quantum lower bound for the collision problem with small range

Reference 67

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source=arxiv_source observed=2026-08-05T11:02:03.382407Z digest=sha256:57b36719e3317117e2f92c6d48f93b6addab1c498e0e7ec1d3e8d26893a6cb39

Observation 52e840fe-a814-45f3-9da6-e78c572c243b · outbound

This paper cites Applied Analysis.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Applied Analysis

Reference 68

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source=arxiv_source observed=2026-08-05T11:02:03.385062Z digest=sha256:711fbb400d23a87f6ba722b380e70590b308c3e1f958bd069126d52b677c5c2f

Observation faacccb5-afb8-45eb-9d5c-4e392061ef6d · outbound

This paper cites Hamiltonian Simulation by Uniform Spectral Amplification.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Hamiltonian Simulation by Uniform Spectral Amplification

Reference 69

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source=arxiv_source observed=2026-08-05T11:02:03.387821Z digest=sha256:c2c53d9d779d67898490d74c2df163d2e15714dae7c486d563c72a758efc70f5

Observation ff9cc6a9-f84d-41ac-b5d5-5ea4a42a728b · outbound

This paper cites an unresolved cited work.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Unresolved cited work

Reference 70

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source=arxiv_source observed=2026-08-05T11:02:03.390553Z digest=sha256:6e3dccacffdf525bb9ee5c5405d7e43d02bb4c2e9cab3dc3eb53391742ba869e

Observation e8b5be39-e1dc-4c41-a871-d1fa6ed05211 · outbound

This paper cites Space-bounded quantum state testing via space-efficient quantum singular value transformation.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Space-bounded quantum state testing via space-efficient quantum singular value transformation

Reference 71

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source=arxiv_source observed=2026-08-05T11:02:03.393172Z digest=sha256:bb51541733259c5e587b082cd66d089bf8923dd436546e7e83837988ed30dceb

Observation a46a3bb5-4a44-49c5-a548-0aef155a1208 · outbound

This paper cites Data streaming algorithms for estimating entropy of network traffic.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Data streaming algorithms for estimating entropy of network traffic

Reference 72

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source=arxiv_source observed=2026-08-05T11:02:03.396083Z digest=sha256:47bcfc92d4b99799f5a652322f07f39243f52a52d70b546cbd4bfd545677cd65

Observation def10325-f6d1-4b20-a3f2-bf4aca0c352a · outbound

This paper cites an unresolved cited work.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Unresolved cited work

Reference 73

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source=arxiv_source observed=2026-08-05T11:02:03.399028Z digest=sha256:bc292a5b72c91bb32cf09dc6d0d00c41e64df320ae40c85baf77d0a4c5eaf390

Observation bb83350d-b4ec-41be-85b7-2f15aa5e4d88 · outbound

This paper cites Quantum query complexity of entropy estimation.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Quantum query complexity of entropy estimation

Reference 74

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source=arxiv_source observed=2026-08-05T11:02:03.401897Z digest=sha256:7b6b7ec5111007ef5243857346a531a86cd5a38ab9a8352a49436f44ec2de533

Observation 7e62fd76-9316-4c76-8890-b3727674a993 · outbound

This paper cites On estimating the trace of quantum state powers.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation On estimating the trace of quantum state powers

Reference 75

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source=arxiv_source observed=2026-08-05T11:02:03.404608Z digest=sha256:c213a99120999358accf77f3bb7d444500a8c611a50fb9a941e0e0f8b943b378

Observation 1cabe58b-f850-4325-bb7e-43ee67ce9b61 · outbound

This paper cites Succinct quantum testers for closeness and k -wise uniformity of probability distributions.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Succinct quantum testers for closeness and k -wise uniformity of probability distributions

Reference 76

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source=arxiv_source observed=2026-08-05T11:02:03.408003Z digest=sha256:a39999f96169af85e8a6c2c9c4d9a51cc506d5b6d79dbf3f3483ffa6edf2d699

Observation aa116dc4-6de6-49f2-baf7-e55a547e2af2 · outbound

This paper cites Wilde, and Zhicheng Zhang.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Wilde, and Zhicheng Zhang

Reference 77

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source=arxiv_source observed=2026-08-05T11:02:03.410909Z digest=sha256:15f8e7666ebc8f66601e885bf0a61a115b436a0db64cf278557f5c8c14a9a4e7

Observation d8c80cf5-8c09-4a45-ae79-fa128c8f2051 · outbound

This paper cites an unresolved cited work.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Unresolved cited work

Reference 78

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source=arxiv_source observed=2026-08-05T11:02:03.413784Z digest=sha256:dd68b8bba06871f8604b4e6e9e541fbabd516f0996569006a139aa0ddde5871e

Observation ef58b496-c9a5-4d5b-99be-cefa41df6d06 · outbound

This paper cites U ber Polynome, die in einem gegebenen Intervalle m\.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation U ber Polynome, die in einem gegebenen Intervalle m\

Reference 79

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source=arxiv_source observed=2026-08-05T11:02:03.416832Z digest=sha256:77797ab21d5cadc6721071da995171e6bf2b3d104c719e5780bb9d5a5183c59e

Observation 0c721997-0f49-4846-aff0-b8ce0f6e1859 · outbound

This paper cites Quantum and classical query complexities of functions of matrices.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Quantum and classical query complexities of functions of matrices

Reference 80

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source=arxiv_source observed=2026-08-05T11:02:03.419674Z digest=sha256:78a80ea22cf5bc9a401bceb51faedb7a1aa9e008b85e72c165f8bb94d1f03157

Observation ac24285b-5a64-4c90-829a-404331c34195 · outbound

This paper cites Entropy and information in neural spike trains: progress on the sampling problem.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Entropy and information in neural spike trains: progress on the sampling problem

Reference 81

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T11:02:03.422726Z digest=sha256:fae116caf27973b65837a007f270f96389a02c286cd0fb4b2126b1524763e06b

Observation bd3cc5aa-9f86-45ab-86f4-7620679a94ff · outbound

This paper cites an unresolved cited work.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Unresolved cited work

Reference 82

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source=arxiv_source observed=2026-08-05T11:02:03.425531Z digest=sha256:acafaf1127f4dd1f3c4caf370f0e39a17cfe833969c85336a301210cd60e88b5

Observation 725765a7-143d-45fa-b877-fbf74d247236 · outbound

This paper cites an unresolved cited work.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Unresolved cited work

Reference 83

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source=arxiv_source observed=2026-08-05T11:02:03.428267Z digest=sha256:ad75561df05ba6729a55af389215e768d7fed6f5715416b6825e04ef2ebb2937

Observation 14fd6e9c-867f-4e62-ac62-1d1283601e43 · outbound

This paper cites Newman and A.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Newman and A

Reference 84

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source=arxiv_source observed=2026-08-05T11:02:03.431115Z digest=sha256:efb27992d9b97daada4cadb386bf0540d5167fac479c8d868637d9bbb2fd9628

Observation c8542e30-d86a-4d3c-8667-df6561695cc6 · outbound

This paper cites Newman and A.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Newman and A

Reference 85

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T11:02:03.434127Z digest=sha256:222c87ce5023f3e834ff62433516e20494ab7784c19660f460b575123cd40bcc

Observation 029dd2b0-615a-411a-811e-c5928765a106 · outbound

This paper cites Trefethen.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Trefethen

Reference 86

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source=arxiv_source observed=2026-08-05T11:02:03.437067Z digest=sha256:329ab8bb43511b18ddf1a72491e4b99808e96a1ece1fefc9a705c93a65079e95

Observation a5dc6d34-49e6-4b2c-809d-00ac0ec2bbff · outbound

This paper cites an unresolved cited work.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Unresolved cited work

Reference 87

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source=arxiv_source observed=2026-08-05T11:02:03.439885Z digest=sha256:8799b0ea1d0527b089b7bc481fd0cda0f536083c69b819a87c2737de69dd9f34

Observation 6220135f-8ccb-49f2-ad85-d1461494c006 · outbound

This paper cites Efficient quantum tomography.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Efficient quantum tomography

Reference 88

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source=arxiv_source observed=2026-08-05T11:02:03.442338Z digest=sha256:056c692edaf7e59e150655a9c782d7f2a1923b6c74ab5ff3482715b66019aac4

Observation 5d9d5aec-ac6e-4f46-9b14-d12aab3b8e68 · outbound

This paper cites Efficient quantum tomography II.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Efficient quantum tomography II

Reference 89

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source=arxiv_source observed=2026-08-05T11:02:03.445188Z digest=sha256:279a9f4bcb78c84175a96f6c704c8271ac9652a702a3536930022a35a67e0f17

Observation f06a7e80-37b1-4773-b246-753faacae708 · outbound

This paper cites Quantum spectrum testing.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Quantum spectrum testing

Reference 90

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source=arxiv_source observed=2026-08-05T11:02:03.447867Z digest=sha256:5e5ec6c0528d741a3030a6500adfe0037a040af786516a1895ba0f31fcd81314

Observation 69e5d8bf-46b0-4714-8cd8-914b25f4e6c9 · outbound

This paper cites Estimation of entropy and mutual information.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Estimation of entropy and mutual information

Reference 91

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source=arxiv_source observed=2026-08-05T11:02:03.450688Z digest=sha256:51aee2bf840b50fdaf90fd722b73512a2b4ad67347d0a22351381a26bc65d05f

Observation f89fbda0-3f9c-4a7f-ae70-f8d71c975f26 · outbound

This paper cites Estimating entropy on m bins given fewer than m samples.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Estimating entropy on m bins given fewer than m samples

Reference 92

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source=arxiv_source observed=2026-08-05T11:02:03.453363Z digest=sha256:2b2ece8fe8ceecf9f90976f98269c06f84603c8564dcc054815e78c35b0aa4be

Observation c5e29ab8-5ca0-43f7-926f-aa071e0cd9c0 · outbound

This paper cites an unresolved cited work.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Unresolved cited work

Reference 93

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source=arxiv_source observed=2026-08-05T11:02:03.455950Z digest=sha256:232aa5e938585e724e13c9eb212c4578fae598564df4f26dda0ebfb25a6797c4

Observation 60e4feb1-0c1b-4ed5-8352-5ee88769129f · outbound

This paper cites an unresolved cited work.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Unresolved cited work

Reference 94

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source=arxiv_source observed=2026-08-05T11:02:03.458563Z digest=sha256:43938e74fc861975080631d68509ef861ca7fe5755f8dddcd1a0bd5c9f257adf

Observation 2e2f000e-301c-434d-b4cf-329f5b317568 · outbound

This paper cites an unresolved cited work.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Unresolved cited work

Reference 95

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T11:02:03.461248Z digest=sha256:6386ac90fba994248ea8f82b30b8054150aef1bd6d1d124c41628b7546d967f6

Observation 253016f2-85ce-4590-be54-4fdc5f1339a1 · outbound

This paper cites an unresolved cited work.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Unresolved cited work

Reference 96

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T11:02:03.463861Z digest=sha256:cded40949cacae067bf7eab14da70bdaa97dd510dc2b6dcea1edd59bb7d7d38f

Observation 751e4889-caf0-472e-ae43-2aa317f2a7b6 · outbound

This paper cites On measures of entropy and information.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation On measures of entropy and information

Reference 97

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source=arxiv_source observed=2026-08-05T11:02:03.466719Z digest=sha256:ea2464d6a4d94b41975978c586692ec4b708f5b5ab94d0bb314e929c62600f94

Observation a0276619-8bcd-4139-b625-addb967275c6 · outbound

This paper cites an unresolved cited work.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Unresolved cited work

Reference 98

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T11:02:03.469295Z digest=sha256:d73662cd304a9eda4a05ee861ebd37792a72511dddd65fc3f4d9710019c51a44

Observation 267c0f2e-4723-4aac-804b-64604e5a5d7d · outbound

This paper cites Principles of Mathematical Analysis.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Principles of Mathematical Analysis

Reference 99

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source=arxiv_source observed=2026-08-05T11:02:03.472081Z digest=sha256:f7c3e3e11c950be58bf3015c863428a54f71b90f9ff89c7f824de4880671e495

Observation f7751414-ee13-4d17-b2d8-0c8766ed7b41 · outbound

This paper cites an unresolved cited work.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Unresolved cited work

Reference 100

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source=arxiv_source observed=2026-08-05T11:02:03.475055Z digest=sha256:a0ace13365ed4ec6452e7a267b055c39518ed9d670df951e140e2680770b0354

Pith citing papers

Observation 903d27a6-24a8-4605-9ef5-43bf8f12394b · inbound

Quantum Multi-Level Estimation of Functionals of Discrete Distributions cites this paper.

Quantum Multi-Level Estimation of Functionals of Discrete Distributions Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation

Reference 39

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arxiv_id, observed 2026-05-11T23:21:38.966577Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-07T17:15:33.238488Z digest=sha256:b6bdf7c5accfb4fe452a48fb0c72b8297228a9508cdf4abe82e041949a3dc4c8

Observation c5993887-f45a-4973-8c7f-ec6e4a17218f · inbound

Towards Minimax Estimation of High-Order Functionals by Quantum Arguments cites this paper.

Towards Minimax Estimation of High-Order Functionals by Quantum Arguments Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation

Reference 36

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-09T07:51:02.650886Z digest=sha256:0361f8a4ff19148011a4ec1e5ce0a12dc05675454d6d2bb8f7dbcb9e77fc4591