Paper Citation Record · LEDGER

Spectral amplification for ground-state energy estimation of electronic structure in first quantization

As of 21 August 2026, this Paper Citation Record lists 72 of 72 outbound references and 1 inbound Pith citation observation for arXiv:2607.15358.

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

pith.paper-citation-record.v1
2607.15358 v1

Coverage vector

measured 72 of 72 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T23:42:54.380399Z

measured 73 of 73 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:13:24.718180Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T15:13:24.860552Z

Reference resolution

72 of 72 outbound references displayed

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unresolved71
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External citation measurements

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Outbound references

Observation 0902ae72-e667-4add-9cc9-66248e2ad2c3 · outbound

This paper cites an unresolved cited work.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T23:42:52.958471Z

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Observation aed4db32-7647-4e44-9dd2-c74a34e72778 · outbound

This paper cites The unary iteration step requires max[η, Ztot]−2 Toffoli gates.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization The unary iteration step requires max[η, Ztot]−2 Toffoli gates

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T23:42:53.057150Z

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Observation f56f886a-4be8-465c-9164-05ac0d99acdf · outbound

This paper cites Here we provide the total costs in Table IV.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization Here we provide the total costs in Table IV

Reference 3

Resolution: malformed identifier; no resolver link, observed 2026-08-01T23:42:53.219989Z

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Observation 4fc254e4-5161-4dc8-9bb4-e17f8e6b46fe · outbound

This paper cites an unresolved cited work.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T23:42:53.354731Z

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Observation 3e9af03e-30c7-4195-8a0a-ca49fcd8a01b · outbound

This paper cites In other words, the circuit produces more trash to be recycled than is needed (in terms of Λ T ).

Spectral amplification for ground-state energy estimation of electronic structure in first quantization In other words, the circuit produces more trash to be recycled than is needed (in terms of Λ T )

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T23:42:53.503494Z

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Observation a50c71bd-f2c7-45b9-8516-6136bcc839ed · outbound

This paper cites In other words, there istoo little trashgenerated by nested-boxes state preparation to be recycled intoTto cover all ofT.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization In other words, there istoo little trashgenerated by nested-boxes state preparation to be recycled intoTto cover all ofT

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T23:42:53.597590Z

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Observation d67c5fe7-79cb-41ab-ae6a-64538cd562d3 · outbound

This paper cites The choice of which part of the Hamiltonian to block encode is governed by the flags Exec V , ExecX , and ExecT.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization The choice of which part of the Hamiltonian to block encode is governed by the flags Exec V , ExecX , and ExecT

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T23:42:53.703647Z

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Observation de27ddd5-3799-4074-bd3e-0752e5f65cd0 · outbound

This paper cites an unresolved cited work.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T23:42:53.827464Z

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Observation 5b4d6a75-99f1-4556-bddb-d36bf2991113 · outbound

This paper cites an unresolved cited work.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T23:42:53.875387Z

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Observation 554f6036-9262-469a-bbc9-f3543f3803a9 · outbound

This paper cites Regime 2: The OR Strategy The execution flags are computed as:.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization Regime 2: The OR Strategy The execution flags are computed as:

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T23:42:53.991649Z

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Observation abb4d539-9298-447e-812d-656d56cd71d8 · outbound

This paper cites an unresolved cited work.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T23:42:54.118334Z

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Observation 441716a2-cef3-4ad3-8abf-5b66a8a33791 · outbound

This paper cites an unresolved cited work.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization Unresolved cited work

Reference 12

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Observation 5b12ad62-c14a-4596-9030-a3084c3ce437 · outbound

This paper cites One Toffoli is used to compute the OR for Exec T.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization One Toffoli is used to compute the OR for Exec T

Reference 13

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Observation 0db63f97-becf-4c67-b53e-cbdd9a150c2a · outbound

This paper cites Thew-bit preparation takes 3n+2b r −9 withb r = 8 andn= 2 yielding 13 Toffolis.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization Thew-bit preparation takes 3n+2b r −9 withb r = 8 andn= 2 yielding 13 Toffolis

Reference 14

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Observation 7e78b617-baea-4210-ab24-bd9fb3762eef · outbound

This paper cites These Hadamards need to be made controlled 3 times, though one is an inversion.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization These Hadamards need to be made controlled 3 times, though one is an inversion

Reference 15

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Observation 95c1b33f-a443-4216-b233-29ea8e837d12 · outbound

This paper cites Performing the inequality test with a quantum register instead of a classically chosen number increases the cost by 1 Toffoli.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization Performing the inequality test with a quantum register instead of a classically chosen number increases the cost by 1 Toffoli

Reference 16

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Observation d43c0f46-dc39-4269-97c4-9292445b1734 · outbound

This paper cites The rotation is performed twice, increasing the Toffoli count by 2.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization The rotation is performed twice, increasing the Toffoli count by 2

Reference 17

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Observation 391a6977-f3b8-4396-8de3-e9191b82a65e · outbound

This paper cites Kinetic Energy This is very similar to Ref.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization Kinetic Energy This is very similar to Ref

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T23:42:54.158604Z

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Observation 4605c59c-a0af-400b-9a71-c549fd18d847 · outbound

This paper cites an unresolved cited work.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T23:42:54.162758Z

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Observation 5c58203e-a45f-42ec-a481-dc4c2f3045a3 · outbound

This paper cites an unresolved cited work.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T23:42:54.166594Z

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Observation 94ae7fbc-063d-4f0d-8ba0-97a52538a65e · outbound

This paper cites The|b⟩register is prepared in the|+⟩ b state.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization The|b⟩register is prepared in the|+⟩ b state

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T23:42:54.170361Z

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Observation 6c7aac54-7a6d-4c86-b89d-d3a8bd949951 · outbound

This paper cites [16] Total Cost:The kinetic arithmetic requires 3(n p −1) Toffolis.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization [16] Total Cost:The kinetic arithmetic requires 3(n p −1) Toffolis

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T23:42:54.174518Z

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Observation 81de6581-c355-4185-9b2d-f18ddfa363a0 · outbound

This paper cites This physically implementsU shift,j(ν).

Spectral amplification for ground-state energy estimation of electronic structure in first quantization This physically implementsU shift,j(ν)

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T23:42:54.178420Z

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Observation be44129d-811e-4053-b1c8-b41d4588f84f · outbound

This paper cites This is because the control of the phase is implemented by this controlled swap.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization This is because the control of the phase is implemented by this controlled swap

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T23:42:54.182265Z

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Observation d083309e-03fd-4354-914e-e990a6782fd4 · outbound

This paper cites This physically implements−U phase,ℓ(ν).

Spectral amplification for ground-state energy estimation of electronic structure in first quantization This physically implements−U phase,ℓ(ν)

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T23:42:54.186254Z

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Observation b926bf4e-f823-4db3-aff1-f5c45749cb6e · outbound

This paper cites The execution bits, which are one-hot encoded Exec T,V,X , are in the outer preparation and can be used to control the reflection application.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization The execution bits, which are one-hot encoded Exec T,V,X , are in the outer preparation and can be used to control the reflection application

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T23:42:54.190302Z

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Observation 9242e917-09f8-493a-a4d2-fba9f07be27c · outbound

This paper cites (b)f ν: The nested boxes failure flag (1 qubit, outer).

Spectral amplification for ground-state energy estimation of electronic structure in first quantization (b)f ν: The nested boxes failure flag (1 qubit, outer)

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T23:42:54.194225Z

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Observation a1d6c869-7447-46eb-9156-27461718f569 · outbound

This paper cites (b)r: The bit-index (needsn p −1 qubits for 0 ton p −2, inner).

Spectral amplification for ground-state energy estimation of electronic structure in first quantization (b)r: The bit-index (needsn p −1 qubits for 0 ton p −2, inner)

Reference 28

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Observation e9bf8439-271a-47a9-a3dc-dfc392b97f18 · outbound

This paper cites (b)µ: The box index (n p qubits in unary, outer).

Spectral amplification for ground-state energy estimation of electronic structure in first quantization (b)µ: The box index (n p qubits in unary, outer)

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-01T23:42:54.203117Z

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Observation 26d0e139-6766-443f-8d81-ee57ee48417d · outbound

This paper cites 30 (b)f nuc-flag: The nuclear flag (1 qubit, inner).

Spectral amplification for ground-state energy estimation of electronic structure in first quantization 30 (b)f nuc-flag: The nuclear flag (1 qubit, inner)

Reference 30

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Observation 51f42ef6-0032-4ea1-b2bf-5ca1e7dd85d5 · outbound

This paper cites The cost of a reflection on this number of qubits is 2 Toffolis less than this, though there are 2 extra needed for the phase estimation.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization The cost of a reflection on this number of qubits is 2 Toffolis less than this, though there are 2 extra needed for the phase estimation

Reference 31

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Observation 9baac69e-92ba-43e6-a9cd-0291e7e6d751 · outbound

This paper cites This inflation accounts for the finite precision of the state prepa- ration subroutines and the inherent failure probabilities of the quantum arithmetic.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization This inflation accounts for the finite precision of the state prepa- ration subroutines and the inherent failure probabilities of the quantum arithmetic

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-01T23:42:54.215017Z

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Observation 8432cd02-2ea8-44f6-9a64-026cd7764bb5 · outbound

This paper cites It is thenλ ˜Vν =η, without theZ tot term.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization It is thenλ ˜Vν =η, without theZ tot term

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-01T23:42:54.219257Z

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Observation d6bb3c84-6593-4151-a307-153209fced40 · outbound

This paper cites For the kinetic termT, we use the same decomposition as in Eq.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization For the kinetic termT, we use the same decomposition as in Eq

Reference 34

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Observation 91415ea3-4d24-4fa4-9c9a-f99d7ec933cd · outbound

This paper cites an unresolved cited work.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization Unresolved cited work

Reference 35

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Observation 6de91461-8cf1-46f5-bcff-5bae70d39858 · outbound

This paper cites For example, approximating the electron-electron interaction as a sum of separable real-space functions naturally leads to an SOS form.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization For example, approximating the electron-electron interaction as a sum of separable real-space functions naturally leads to an SOS form

Reference 36

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Observation 48105b03-0c64-45d9-a43d-fa4b1961ec78 · outbound

This paper cites Aspuru-Guzik, A.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization Aspuru-Guzik, A

Reference 37

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Observation 834a9a3d-c6b5-4096-a765-81e23d00937b · outbound

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Spectral amplification for ground-state energy estimation of electronic structure in first quantization Unresolved cited work

Reference 38

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Observation 719604ee-be8e-443a-8d19-1c5a650e8c87 · outbound

This paper cites Babbush, D.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization Babbush, D

Reference 39

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Observation 0fb452c0-1f9a-48d5-92cd-d90d948b174f · outbound

This paper cites Reiher, N.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization Reiher, N

Reference 40

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Observation 1a49e02b-7bee-4cbb-98f4-664bdb265a64 · outbound

This paper cites Babbush, C.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization Babbush, C

Reference 41

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Observation 908ef6dc-3934-4a88-881a-f9805e2adfaa · outbound

This paper cites an unresolved cited work.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization Unresolved cited work

Reference 42

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Observation adb25c76-711d-495a-a3b7-87a1d7c2c53b · outbound

This paper cites von Burg, G.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization von Burg, G

Reference 43

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Observation 8efa4494-360a-4f25-9be5-445fdf0849a5 · outbound

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Spectral amplification for ground-state energy estimation of electronic structure in first quantization Unresolved cited work

Reference 44

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Observation 5281ef7d-301f-4911-a028-3ccba256d89f · outbound

This paper cites an unresolved cited work.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization Unresolved cited work

Reference 45

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Observation 9a0a8e01-8738-49b7-9de5-4e9d4a26f67e · outbound

This paper cites an unresolved cited work.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization Unresolved cited work

Reference 46

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Observation c338ba6a-ca22-4049-959a-42d90c306b42 · outbound

This paper cites an unresolved cited work.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization Unresolved cited work

Reference 47

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Observation 1ca427ba-fc35-43f5-a307-717a255860b9 · outbound

This paper cites Oumarou, M.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization Oumarou, M

Reference 48

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Observation f365bfb4-0c57-4614-a448-31d3a18acb98 · outbound

This paper cites an unresolved cited work.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization Unresolved cited work

Reference 49

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Observation ca903114-2463-4a1f-b491-3e990c5a5f27 · outbound

This paper cites an unresolved cited work.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization Unresolved cited work

Reference 50

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Observation e48cb429-2612-4d9e-9889-eb364d9d5fc3 · outbound

This paper cites Babbush, D.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization Babbush, D

Reference 51

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Observation 1565103d-2bd2-4127-808f-c2540ab34c5a · outbound

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Spectral amplification for ground-state energy estimation of electronic structure in first quantization Unresolved cited work

Reference 52

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Observation 98717bab-606b-40a4-9b49-00e27daf4add · outbound

This paper cites Delgado, P.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization Delgado, P

Reference 53

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Observation 0fc56959-2791-431b-8e01-d1114b96e7ce · outbound

This paper cites an unresolved cited work.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization Unresolved cited work

Reference 54

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Observation d6276cb1-27eb-4d8c-ba95-3b4f1fb394dc · outbound

This paper cites an unresolved cited work.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization Unresolved cited work

Reference 55

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Observation 9b3e11bb-d634-4886-a3d1-9e85fa869be4 · outbound

This paper cites an unresolved cited work.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization Unresolved cited work

Reference 56

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Observation 5db7430c-c6f7-4402-823d-be4ee1b5c4d4 · outbound

This paper cites Pocrnic, I.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization Pocrnic, I

Reference 57

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Observation f88575a5-14ee-4948-b8f8-eb2d45891e1b · outbound

This paper cites A comprehensive framework to simulate real-time chemical dynamics on a fault-tolerant quantum computer.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization A comprehensive framework to simulate real-time chemical dynamics on a fault-tolerant quantum computer

Reference 58

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Observation a35026cb-1909-4b6b-a50c-b38327c34ba2 · outbound

This paper cites an unresolved cited work.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization Unresolved cited work

Reference 59

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Observation 46e0a09a-d6dc-485f-8e9a-d76d4e74b6e3 · outbound

This paper cites an unresolved cited work.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization Unresolved cited work

Reference 60

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Observation 2fbd6881-fd8b-4172-97a2-82800ff0d828 · outbound

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Spectral amplification for ground-state energy estimation of electronic structure in first quantization Unresolved cited work

Reference 61

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Observation 0d87e57e-dcf7-4871-8480-2c1c050ab14b · outbound

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Spectral amplification for ground-state energy estimation of electronic structure in first quantization Unresolved cited work

Reference 62

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Observation 75c750e6-35ca-4f30-a1b9-f9b79439f6d8 · outbound

This paper cites Accelerating quantum Gibbs sampling without quantum walks.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization Accelerating quantum Gibbs sampling without quantum walks

Reference 63

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Observation 2e5b4bb3-bbcb-467e-a561-db95dbf79e8b · outbound

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Spectral amplification for ground-state energy estimation of electronic structure in first quantization Unresolved cited work

Reference 64

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Observation 2631123b-413a-4093-b726-d5b9dc9cf82b · outbound

This paper cites A Denser Planar Surface Code.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization A Denser Planar Surface Code

Reference 65

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Observation c13eeec5-07ad-413d-a4eb-93f8bda0b9da · outbound

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Spectral amplification for ground-state energy estimation of electronic structure in first quantization Unresolved cited work

Reference 66

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Observation ec1aa091-1376-4985-bcf4-64bbb3df3057 · outbound

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Spectral amplification for ground-state energy estimation of electronic structure in first quantization Unresolved cited work

Reference 67

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Observation f0f9b483-81d5-4f7f-a085-0a83203b5c91 · outbound

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Spectral amplification for ground-state energy estimation of electronic structure in first quantization Unresolved cited work

Reference 68

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Observation ceca507a-6857-41c7-8fa6-5cf2d076dcd9 · outbound

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Spectral amplification for ground-state energy estimation of electronic structure in first quantization Giannozzi, S

Reference 69

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Observation 2d5b4419-ad3a-4aee-bf53-28e4ebcdae12 · outbound

This paper cites Giannozzi, O.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization Giannozzi, O

Reference 70

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Observation 2793fdce-72d0-4129-9e8e-f44b2a0644d4 · outbound

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Spectral amplification for ground-state energy estimation of electronic structure in first quantization Unresolved cited work

Reference 71

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Observation 45ce95e0-b8ea-4eb2-a9d4-deeb32553e69 · outbound

This paper cites Infeld and T.

Spectral amplification for ground-state energy estimation of electronic structure in first quantization Infeld and T

Reference 72

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Pith citing papers

Observation f9d0dd67-e986-4a7f-8042-27a563e360e5 · inbound

Improved constant factors for qubitized Hamiltonian simulation cites this paper.

Improved constant factors for qubitized Hamiltonian simulation Spectral amplification for ground-state energy estimation of electronic structure in first quantization

Reference 31

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