Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T12:38:49.252012Z
Paper Citation Record · LEDGER
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices
As of 14 August 2026, this Paper Citation Record lists 68 of 68 outbound references and 1 inbound Pith citation observation for arXiv:2509.01571.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-05T11:02:03.566087Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-05T11:02:04.170965Z
Reference resolution
68 of 68 outbound references displayed
- verified exact3
- verified fuzzy48
- unresolved17
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External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 7e262955-a83c-445c-b9c3-a5d1a13ddcf4 · outbound
This paper cites an unresolved cited work.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T12:39:03.655722Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 6c2e85aa-f1c6-460c-b21c-553ca4b22e87 · outbound
This paper cites 1 with W = I for estimating the real parts of the nonlinear property function.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices 1 with W = I for estimating the real parts of the nonlinear property function
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:39:03.363154Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f8b894cd-7f1c-402f-b63a-4fafa490c283 · outbound
This paper cites an unresolved cited work.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T12:39:03.107438Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation e68afc4a-2412-4961-bdaa-286160ffb140 · outbound
This paper cites (2) In step 1, ˆp(ρ) is realized by first constructing a block encoding of p(ρ) with error ϵ/(2 ∥O∥) using degree m =p 2(k − 1) ln(4αO ∥O∥ /ϵ) (see proof below).
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices (2) In step 1, ˆp(ρ) is realized by first constructing a block encoding of p(ρ) with error ϵ/(2 ∥O∥) using degree m =p 2(k − 1) ln(4αO ∥O∥ /ϵ) (see proof below)
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:39:02.861410Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a0c0ce66-3c3f-4555-8fe3-c47b0d6956f3 · outbound
This paper cites purifying.
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:39:02.642087Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 33c6a843-8356-4d64-aec0-8a9fa356aa84 · outbound
This paper cites Quantum entropy and its use.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Quantum entropy and its use
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:39:02.470637Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 3d054e63-bb88-4a33-bfa8-2988e9ff5568 · outbound
This paper cites Exponential error suppression for near- term quantum devices.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Exponential error suppression for near- term quantum devices
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:39:02.332606Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 0894c424-3b6b-4782-ae8c-ddbef75c67ca · outbound
This paper cites Vir- tual distillation for quantum error mitigation.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Vir- tual distillation for quantum error mitigation
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:39:02.157966Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 966a0948-739e-4bd1-b4cf-208684994d79 · outbound
This paper cites Quantum virtual cooling.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Quantum virtual cooling
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:39:01.982646Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation bc805333-398e-42a0-b0c7-cf19556b2a66 · outbound
This paper cites Direct estimations of linear and nonlinear func- tionals of a quantum state.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Direct estimations of linear and nonlinear func- tionals of a quantum state
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:39:01.815607Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 96f11491-684e-4c44-9914-182a5d9141f8 · outbound
This paper cites Measuring polynomial functions of states.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Measuring polynomial functions of states
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T12:38:42.122574Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4a539605-6bc1-4b7c-83dc-e936c227d379 · outbound
This paper cites Shadow tomography of quantum states.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Shadow tomography of quantum states
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:39:01.646689Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 8b72b17d-e29f-4ef6-8bea-e077e225569f · outbound
This paper cites Predicting many properties of a quantum system from very few measurements.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Predicting many properties of a quantum system from very few measurements
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T12:38:42.331685Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ba46bbb4-adde-4635-82f7-99e9e23e088b · outbound
This paper cites A hybrid framework for estimating nonlinear functions of quantum states.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices A hybrid framework for estimating nonlinear functions of quantum states
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:39:01.498241Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4ff965b3-8934-41ac-b6f3-8bd8e44885d9 · outbound
This paper cites Prin- cipal eigenstate classical shadows.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Prin- cipal eigenstate classical shadows
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:39:01.323146Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ccd640c3-e2d1-41b4-990a-98a93d8ed654 · outbound
This paper cites Auxiliary-free replica shadow estimation.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Auxiliary-free replica shadow estimation
Reference 16
- Resolution
- verified exact
- raw_fallback, observed 2026-08-05T12:38:50.293535Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 859f4f92-eaa0-4542-8c2f-2f6613e4b278 · outbound
This paper cites A Hierarchy for Replica Quantum Advantage.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices A Hierarchy for Replica Quantum Advantage
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T12:38:42.849987Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c29dbdcb-5f5f-484e-b171-01b2288b662f · outbound
This paper cites Exponential separations between learning with and without quantum memory.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Exponential separations between learning with and without quantum memory
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:39:01.143534Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation c266d219-865e-4078-ad5e-ac3eaa811953 · outbound
This paper cites An optimal trade- off between entanglement and copy complexity for state tomography.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices An optimal trade- off between entanglement and copy complexity for state tomography
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:39:00.993101Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 1a699e35-20aa-4b7e-8aca-c178131df631 · outbound
This paper cites Quantum detection and estimation theory.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Quantum detection and estimation theory
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:39:00.763509Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 67a4f1d7-c934-41b8-b11a-0e62f855dcca · outbound
This paper cites Quantum singular value transformation and be- yond: exponential improvements for quantum matrix arithmetics.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Quantum singular value transformation and be- yond: exponential improvements for quantum matrix arithmetics
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:39:00.514388Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 9a3bdd44-b9de-4575-b06e-3cce8918af70 · outbound
This paper cites Faster algorithms via approximation theory.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Faster algorithms via approximation theory
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T12:38:43.478203Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0188ba1f-0769-42d5-a49b-e991b85e648e · outbound
This paper cites Approximation theory and approxi- mation practice, extended edition.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Approximation theory and approxi- mation practice, extended edition
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:39:00.204245Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation aa223cca-13f5-4572-a093-a019734a3070 · outbound
This paper cites Quantum and classical query complexities of functions of matrices.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Quantum and classical query complexities of functions of matrices
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:39:00.005324Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 6c0bcbe0-ce18-49df-ae28-0aa39035bf72 · outbound
This paper cites Convergence of estimates under dimen- sionality restrictions.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Convergence of estimates under dimen- sionality restrictions
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:38:59.729759Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 60b6dcf0-0afc-4545-8c12-5d9da0405bb1 · outbound
This paper cites Tsybakov.
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:38:59.397604Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 8835c30b-1d9c-42af-8dfd-b2291b61cd26 · outbound
This paper cites Many-body topological invariants from random- ized measurements in synthetic quantum matter.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Many-body topological invariants from random- ized measurements in synthetic quantum matter
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:38:59.143083Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f92b944b-5c12-42c0-93ee-f95a31a76694 · outbound
This paper cites Lanyon, Peter Zoller, Rainer Blatt, and Christian F.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Lanyon, Peter Zoller, Rainer Blatt, and Christian F
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:38:58.885078Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a1119a0f-3eeb-4f6b-97c8-f2ed8c4930d8 · outbound
This paper cites Mixed- state entanglement from local randomized measurements.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Mixed- state entanglement from local randomized measurements
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:38:58.635452Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 29a61231-da44-48c8-8755-f9b4fc87972d · outbound
This paper cites Inequalities of a.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Inequalities of a
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:38:58.367883Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 8f6fb8af-7c61-4a7a-95e0-4b7eaac2a835 · outbound
This paper cites Quantum Fast-Forwarding: Markov Chains and Graph Property Testing.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Quantum Fast-Forwarding: Markov Chains and Graph Property Testing
Reference 31
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T12:38:44.565541Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b85f01ec-a808-45fe-9240-c7260cb8fd9b · outbound
This paper cites Nearly- frustration-free ground state preparation.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Nearly- frustration-free ground state preparation
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:38:58.120015Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 9da3bc75-952c-4ac8-a636-08bf78ce277a · outbound
This paper cites On solving classes of positive-definite quantum linear systems with quadrati- cally improved runtime in the condition number.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices On solving classes of positive-definite quantum linear systems with quadrati- cally improved runtime in the condition number
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:38:57.856574Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 0484398a-fcd2-46c2-8e48-744dabacef6c · outbound
This paper cites Quantum differential equation solvers: limitations and fast-forwarding.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Quantum differential equation solvers: limitations and fast-forwarding
Reference 34
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T12:38:45.000890Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c8c3ddc9-d7b4-4706-9f12-8c09f2250251 · outbound
This paper cites Quantum Amplitude Amplification and Estimation.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Quantum Amplitude Amplification and Estimation
Reference 35
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T12:38:45.116285Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 95c3d60b-a06b-47a4-9cfc-c956490b738c · outbound
This paper cites New quantum algorithms for comput- ing quantum entropies and distances.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices New quantum algorithms for comput- ing quantum entropies and distances
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:38:57.615845Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 05203628-fa5c-4cdb-bf7f-ef6b721eb4c7 · outbound
This paper cites Estimating operator norms using covering nets.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Estimating operator norms using covering nets
Reference 37
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T12:38:45.367458Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 70a65ceb-f1b9-4ac2-b225-4f39c8ee97f8 · outbound
This paper cites Entanglement en- tropy and quantum field theory.Journal of statistical me- chanics: theory and experiment , 2004(06):P06002, 2004.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Entanglement en- tropy and quantum field theory.Journal of statistical me- chanics: theory and experiment , 2004(06):P06002, 2004
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:38:57.339788Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 7695cbad-62b0-4062-974f-84627f099ccd · outbound
This paper cites Evolution of en- tanglement entropy in one-dimensional systems.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Evolution of en- tanglement entropy in one-dimensional systems
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:38:57.041949Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 673e4225-fe9a-4078-94b4-aec3d8bc0eb7 · outbound
This paper cites Quantum corrections to holographic entanglement entropy.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Quantum corrections to holographic entanglement entropy
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:38:56.786747Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 03d364f2-baa6-447c-bfb4-51210ba8988d · outbound
This paper cites Statistical distance and the geometry of quantum states.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Statistical distance and the geometry of quantum states
Reference 41
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T12:38:45.835738Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8a609fd4-0f38-46a2-ac96-d98bc6e99561 · outbound
This paper cites Quantum metrol- ogy from a quantum information science perspective.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Quantum metrol- ogy from a quantum information science perspective
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:38:56.450870Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 18d6ff24-7cb4-4507-a443-c455525dc6b2 · outbound
This paper cites Quantum speed limit for physical processes.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Quantum speed limit for physical processes
Reference 43
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:38:56.110838Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 693f5484-c4f0-47d3-afcb-bcf9a2345830 · outbound
This paper cites Fisher information and multiparticle entanglement.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Fisher information and multiparticle entanglement
Reference 44
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:38:55.766449Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 94736ca1-b4cd-4fdc-9f01-54ed6008c803 · outbound
This paper cites Krylov shadow tomogra- phy: Efficient estimation of quantum fisher information.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Krylov shadow tomogra- phy: Efficient estimation of quantum fisher information
Reference 45
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:38:55.500691Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation eaec1184-6550-4b93-b900-10b508feb3f6 · outbound
This paper cites Quantum fisher information from randomized measurements.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Quantum fisher information from randomized measurements
Reference 46
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:38:55.231286Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation e02af73c-f77e-499f-9d75-5b1733fdb631 · outbound
This paper cites Purification-based quantum error mitigation of pair-correlated electron simulations.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Purification-based quantum error mitigation of pair-correlated electron simulations
Reference 47
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:38:54.974560Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 35753a66-3d81-4d43-80d6-e8f0cd153c65 · outbound
This paper cites Shadow distillation: Quantum error mitiga- tion with classical shadows for near-term quantum pro- cessors.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Shadow distillation: Quantum error mitiga- tion with classical shadows for near-term quantum pro- cessors
Reference 48
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:38:54.727802Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 5cc7b7f6-9de1-4d02-a889-561ffe516b87 · outbound
This paper cites Lo- calized virtual purification.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Lo- calized virtual purification
Reference 49
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:38:54.488069Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 8f2edfdb-f769-4aee-96d3-903b9c2ead28 · outbound
This paper cites Expo- nential distillation of dominant eigenproperties.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Expo- nential distillation of dominant eigenproperties
Reference 50
- Resolution
- verified exact
- raw_fallback, observed 2026-08-05T12:38:49.947693Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation dc20ae5e-a59c-4cc7-b644-9bcd962cf815 · outbound
This paper cites Nearly query-optimal classical shadow estimation of uni- tary channels.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Nearly query-optimal classical shadow estimation of uni- tary channels
Reference 51
- Resolution
- verified exact
- raw_fallback, observed 2026-08-05T12:38:49.606618Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation b26af931-1f8f-4e0b-9205-58c35b499d9f · outbound
This paper cites Optimal trace distance and fidelity esti- mations for pure quantum states.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Optimal trace distance and fidelity esti- mations for pure quantum states
Reference 52
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:38:54.197499Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 9ffd6249-3868-4672-a071-18867a2a8784 · outbound
This paper cites Sample-Optimal Quantum Estimators for Pure-State Trace Distance and Fidelity via Samplizer.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Sample-Optimal Quantum Estimators for Pure-State Trace Distance and Fidelity via Samplizer
Reference 53
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T12:38:47.250842Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f3908e63-4714-4c85-aea0-0be9301633d2 · outbound
This paper cites Quantum principal component analysis.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Quantum principal component analysis
Reference 54
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:38:53.853722Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 496a90ac-1631-4cde-9c00-575b2f932003 · outbound
This paper cites Cryptographic distinguishability measures for quantum- mechanical states.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Cryptographic distinguishability measures for quantum- mechanical states
Reference 55
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:38:53.597588Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 076b4760-f473-46f8-a067-762ef610759f · outbound
This paper cites Classical and quantum computation.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Classical and quantum computation
Reference 56
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:38:53.470619Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 45850d86-01d8-4117-a34f-3ac2dbf65e85 · outbound
This paper cites The theory of quantum information.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices The theory of quantum information
Reference 57
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:38:53.223914Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 9334801c-abed-4043-be22-50bcc1f305a3 · outbound
This paper cites Real analysis.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Real analysis
Reference 58
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:38:53.016465Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 77c0cdd7-bcd6-4ccc-9039-aeac6d4002e3 · outbound
This paper cites Lecture Notes on Quantum Algorithms for Scientific Computation.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Lecture Notes on Quantum Algorithms for Scientific Computation
Reference 59
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T12:38:48.036182Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d9bd79b0-8492-4815-81ba-68cf4c7c2d6e · outbound
This paper cites an unresolved cited work.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Unresolved cited work
Reference 60
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T12:38:52.770932Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ec924a9e-ebd7-4e04-8b11-b635986696c3 · outbound
This paper cites Strengths and weaknesses of quantum computing.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Strengths and weaknesses of quantum computing
Reference 61
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:38:52.458916Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 5ab6ccf0-8e37-49d2-8e0e-e32df2f916fd · outbound
This paper cites Quantum lower bounds by quantum arguments.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Quantum lower bounds by quantum arguments
Reference 62
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:38:52.215326Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation be772b13-b441-4adb-8cec-a76a971dd551 · outbound
This paper cites Grand unification of quantum algo- rithms.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Grand unification of quantum algo- rithms
Reference 63
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:38:51.883486Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4f54288e-bf7a-4fac-afef-fefa9f08fa4e · outbound
This paper cites an unresolved cited work.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Unresolved cited work
Reference 64
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T12:38:51.616685Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4e3de81b-6b4e-4a3b-946b-483704457457 · outbound
This paper cites an unresolved cited work.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Unresolved cited work
Reference 65
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T12:38:51.371022Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a7b04cf8-89bb-4074-b4f1-8a39ee9eb5ba · outbound
This paper cites The promise is that either Tr(ρkO) ≥ a (YES) or Tr(ρkO) ≤ b (NO).
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices The promise is that either Tr(ρkO) ≥ a (YES) or Tr(ρkO) ≤ b (NO)
Reference 66
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:38:51.105081Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ae66e5cd-c8fc-4b44-a36b-bc3275ac5ff8 · outbound
This paper cites an unresolved cited work.
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Unresolved cited work
Reference 67
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T12:38:50.832859Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 5ed18811-acdf-4a11-b993-865543c91cc3 · outbound
This paper cites Moreover, the bound at the endpoints is achieved by the Chebyshev polynomial Tℓ(x).
Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices Moreover, the bound at the endpoints is achieved by the Chebyshev polynomial Tℓ(x)
Reference 68
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:38:50.548851Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Pith citing papers
Observation 70dd7ebb-dadb-4b98-be81-01ba80aa92f6 · inbound
Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation cites this paper.
Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Measuring Less to Learn More: Quadratic Speedup in learning Nonlinear Properties of Quantum Density Matrices
Reference 134
- Resolution
- verified exact
- local_arxiv, observed 2026-08-05T11:02:04.174771Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.