Paper Citation Record · LEDGER

Spectral gap of Lee-Yang Hamiltonians

As of 21 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 1 inbound Pith citation observation for arXiv:2607.10765.

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

pith.paper-citation-record.v1
2607.10765 v1

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measured 49 of 49 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-07-14T09:25:46.867982Z

measured 50 of 50 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T02:27:56.329635Z

measured 0 of 1 external citation measurements

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Source: cited_works

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49 of 49 outbound references displayed

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Outbound references

Observation 33e4b918-0774-42b2-8aa2-fbe2deef6772 · outbound

This paper cites Spectral gap and exponential decay of correlations.

Spectral gap of Lee-Yang Hamiltonians Spectral gap and exponential decay of correlations

Reference 1

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Observation f92ce404-c757-4c83-a55a-c6e42658ba44 · outbound

This paper cites Lieb-Robinson bounds and the exponential clustering theorem.Communications in Mathematical Physics, 265:119–130, 2006.

Spectral gap of Lee-Yang Hamiltonians Lieb-Robinson bounds and the exponential clustering theorem.Communications in Mathematical Physics, 265:119–130, 2006

Reference 2

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Observation c9529210-4a7e-408b-8793-735c402eb854 · outbound

This paper cites Topological quantum order: stability under local perturbations.Journal of Mathematical Physics, 51(9):093512, 2010.

Spectral gap of Lee-Yang Hamiltonians Topological quantum order: stability under local perturbations.Journal of Mathematical Physics, 51(9):093512, 2010

Reference 3

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Observation 0f9f8efe-2797-45e2-8c4c-8264a13f0886 · outbound

This paper cites Stability of frustration-free Hamiltonians.Commu- nications in Mathematical Physics, 322:277–302, 2013.

Spectral gap of Lee-Yang Hamiltonians Stability of frustration-free Hamiltonians.Commu- nications in Mathematical Physics, 322:277–302, 2013

Reference 4

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Observation d6f79c5e-5ec7-43fc-bc2e-f06870af2a91 · outbound

This paper cites Quasiadiabatic continuation of quantum states: The stability of topological ground-state degeneracy and emergent gauge invariance.Physical Review B, 72(4):045141, 2005.

Spectral gap of Lee-Yang Hamiltonians Quasiadiabatic continuation of quantum states: The stability of topological ground-state degeneracy and emergent gauge invariance.Physical Review B, 72(4):045141, 2005

Reference 5

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Observation 384b3d56-ee3c-4e2f-830f-45e22cf1ed30 · outbound

This paper cites Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order.Physical Review B, 82(15):155138, 2010.

Spectral gap of Lee-Yang Hamiltonians Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order.Physical Review B, 82(15):155138, 2010

Reference 6

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Observation 82ef8db0-b404-4a6e-8f68-560566c16337 · outbound

This paper cites Cambridge University Press, 2 edition, 2011.

Spectral gap of Lee-Yang Hamiltonians Cambridge University Press, 2 edition, 2011

Reference 7

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Observation 66744595-c7a7-4d39-9fad-e713e9c51437 · outbound

This paper cites Cambridge University Press, 2013.

Spectral gap of Lee-Yang Hamiltonians Cambridge University Press, 2013

Reference 8

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Observation 27d1ce2a-7903-4a5c-a923-4b13525b73a9 · outbound

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Spectral gap of Lee-Yang Hamiltonians Unresolved cited work

Reference 9

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Observation 2674b02f-0a0b-42f7-ad42-5e557722c8d4 · outbound

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Spectral gap of Lee-Yang Hamiltonians Unresolved cited work

Reference 10

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Observation 8c4546e6-628f-465f-920b-16eec9a36fda · outbound

This paper cites White and David A.

Spectral gap of Lee-Yang Hamiltonians White and David A

Reference 11

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Observation 6c085778-e326-45b2-8585-d57a51f42f32 · outbound

This paper cites Ground state of the s = 1antiferromagnetic heisenberg chain is topologically nontrivial if gapped.Phys.

Spectral gap of Lee-Yang Hamiltonians Ground state of the s = 1antiferromagnetic heisenberg chain is topologically nontrivial if gapped.Phys

Reference 12

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Observation 6da75fe4-9d4a-4faa-94f7-2323f4c7af8e · outbound

This paper cites Quantum annealing in the transverse ising model.

Spectral gap of Lee-Yang Hamiltonians Quantum annealing in the transverse ising model

Reference 13

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Observation cbedd084-e6f3-4bc7-b336-07b6b5d0c975 · outbound

This paper cites Quantum computation by adiabatic evolution, 2000.

Spectral gap of Lee-Yang Hamiltonians Quantum computation by adiabatic evolution, 2000

Reference 14

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Observation b6720a30-447c-4e79-bcf0-e0347d9d103a · outbound

This paper cites Kinget al.

Spectral gap of Lee-Yang Hamiltonians Kinget al

Reference 15

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Observation 99e55148-8768-48b0-91b3-3c28145b4f5e · outbound

This paper cites Adiabatic quantum computation is equivalent to standard quantum computation.SIAM Journal on Computing, 37(1):166–194, 2007.

Spectral gap of Lee-Yang Hamiltonians Adiabatic quantum computation is equivalent to standard quantum computation.SIAM Journal on Computing, 37(1):166–194, 2007

Reference 16

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Observation e3ef9ccd-c049-4797-a1ad-aa1befaf5567 · outbound

This paper cites Bounds for the adiabatic approximation with applications to quantum computation.Journal of Mathematical Physics, 48(10), 2007.

Spectral gap of Lee-Yang Hamiltonians Bounds for the adiabatic approximation with applications to quantum computation.Journal of Mathematical Physics, 48(10), 2007

Reference 17

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Observation 4d0b5dd6-50b3-4d7b-a582-4ed310ef580b · outbound

This paper cites Near-optimal ground state preparation.Quantum, 4:372, 2020.

Spectral gap of Lee-Yang Hamiltonians Near-optimal ground state preparation.Quantum, 4:372, 2020

Reference 18

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Observation c243c6cd-097c-4914-8586-8048f1022cbb · outbound

This paper cites An area law for one-dimensional quantum systems.Journal of Statistical Mechanics: Theory and Experiment, 2007(08):P08024, 2007.

Spectral gap of Lee-Yang Hamiltonians An area law for one-dimensional quantum systems.Journal of Statistical Mechanics: Theory and Experiment, 2007(08):P08024, 2007

Reference 19

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Observation a34248d1-febe-4f1c-aa13-53f780dfd6e4 · outbound

This paper cites An area law and sub-exponential algorithm for 1D systems.

Spectral gap of Lee-Yang Hamiltonians An area law and sub-exponential algorithm for 1D systems

Reference 20

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Observation 32ea7c8d-88b0-4794-9d6d-1f7113c13246 · outbound

This paper cites A polynomial time algorithm for the ground state of one-dimensional gapped local hamiltonians.Nature Physics, 11(7):566–569, 2015.

Spectral gap of Lee-Yang Hamiltonians A polynomial time algorithm for the ground state of one-dimensional gapped local hamiltonians.Nature Physics, 11(7):566–569, 2015

Reference 21

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Observation 0e7e6f63-84aa-4998-be3a-2536075f59a4 · outbound

This paper cites Undecidability of the spectral gap.

Spectral gap of Lee-Yang Hamiltonians Undecidability of the spectral gap

Reference 22

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Observation a085adb5-5cc0-4e84-a482-379288eb34f7 · outbound

This paper cites Guest column: The 7 faces of quantum NP.ACM SIGACT News, 54(4):54–91, 2023.

Spectral gap of Lee-Yang Hamiltonians Guest column: The 7 faces of quantum NP.ACM SIGACT News, 54(4):54–91, 2023

Reference 23

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Observation 4feb6c37-dad1-490b-babc-39d5534efe8f · outbound

This paper cites An improved approximation algorithm for quantum max-cut on triangle-free graphs.Quantum, 7:1180, 2023.

Spectral gap of Lee-Yang Hamiltonians An improved approximation algorithm for quantum max-cut on triangle-free graphs.Quantum, 7:1180, 2023

Reference 24

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Observation b558cc49-cd9b-4eb7-9e52-565eefa908df · outbound

This paper cites Improved approximation algorithms for the EPR hamiltonian.

Spectral gap of Lee-Yang Hamiltonians Improved approximation algorithms for the EPR hamiltonian

Reference 25

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Observation 2f8d2213-3a50-4fea-a17a-05b0f22b73ff · outbound

This paper cites Improved algorithms for quantum MaxCut via partially entangled matchings.

Spectral gap of Lee-Yang Hamiltonians Improved algorithms for quantum MaxCut via partially entangled matchings

Reference 26

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Observation 229c3993-2fca-4287-a583-199c569de441 · outbound

This paper cites A 0.8395-approximation algorithm for the EPR problem.arXiv preprint arXiv:2512.09896, 2025.

Spectral gap of Lee-Yang Hamiltonians A 0.8395-approximation algorithm for the EPR problem.arXiv preprint arXiv:2512.09896, 2025

Reference 27

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Observation 88ee9f15-bf5a-4fbc-b161-f547cbfd417f · outbound

This paper cites Lee-Yang tensors and Hamiltonian complexity.arXiv preprint arXiv:2602.03605, 2026.

Spectral gap of Lee-Yang Hamiltonians Lee-Yang tensors and Hamiltonian complexity.arXiv preprint arXiv:2602.03605, 2026

Reference 28

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Observation 59619fa2-13ec-4295-adeb-5edfff305003 · outbound

This paper cites A complexity phase transition at the EPR Hamiltonian.

Spectral gap of Lee-Yang Hamiltonians A complexity phase transition at the EPR Hamiltonian

Reference 29

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Observation 6e34c1eb-6a34-4fae-8b22-8f677887f49e · outbound

This paper cites Complexity classification of local hamiltonian problems.

Spectral gap of Lee-Yang Hamiltonians Complexity classification of local hamiltonian problems

Reference 30

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Observation fab96468-1c42-4509-944a-2fb015342644 · outbound

This paper cites Rapidly mixing loop representation quantum Monte Carlo for Heisenberg models on star-like bipartite graphs.

Spectral gap of Lee-Yang Hamiltonians Rapidly mixing loop representation quantum Monte Carlo for Heisenberg models on star-like bipartite graphs

Reference 31

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Observation 38576c81-fda0-4683-a8d6-cb3bebd5c4de · outbound

This paper cites Fast mixing of operator-loop path-integral quantum Monte Carlo for stoquastic XY hamiltonians.arXiv preprint arXiv:2509.21683, 2025.

Spectral gap of Lee-Yang Hamiltonians Fast mixing of operator-loop path-integral quantum Monte Carlo for stoquastic XY hamiltonians.arXiv preprint arXiv:2509.21683, 2025

Reference 32

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Observation 1550e793-e9cb-40a8-99e5-861531dcd255 · outbound

This paper cites Computational studies of quantum spin systems.

Spectral gap of Lee-Yang Hamiltonians Computational studies of quantum spin systems

Reference 33

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Observation 3445a4e0-c1ac-4f6e-b849-ab55cc1d3987 · outbound

This paper cites On the exponential decay of correlation functions.

Spectral gap of Lee-Yang Hamiltonians On the exponential decay of correlation functions

Reference 34

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Observation d3fc998e-55ca-43eb-8495-83837376dbe9 · outbound

This paper cites Completely analytical interactions: constructive description.Journal of Statistical Physics, 46(5-6):983–1014, 1987.

Spectral gap of Lee-Yang Hamiltonians Completely analytical interactions: constructive description.Journal of Statistical Physics, 46(5-6):983–1014, 1987

Reference 35

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Observation 60cc7015-517a-47c9-9a79-a87fff3d7f9e · outbound

This paper cites Some applications of the Lee-Yang theorem.

Spectral gap of Lee-Yang Hamiltonians Some applications of the Lee-Yang theorem

Reference 36

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Observation f1406ca2-a4b9-42ba-8551-80f0de677ad5 · outbound

This paper cites On cluster properties of classical ferromagnets in an external magnetic field.Journal of Statistical Physics, 166:828–840, 2017.

Spectral gap of Lee-Yang Hamiltonians On cluster properties of classical ferromagnets in an external magnetic field.Journal of Statistical Physics, 166:828–840, 2017

Reference 37

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Observation 78726efc-a922-43ad-9274-c2449a19260d · outbound

This paper cites Decay of transverse correlations in quantum Heisenberg models.Journal of Mathematical Physics, 56(4):043303, 2015.

Spectral gap of Lee-Yang Hamiltonians Decay of transverse correlations in quantum Heisenberg models.Journal of Mathematical Physics, 56(4):043303, 2015

Reference 38

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Observation 0a281b9a-8a17-4e93-b866-3b8b102f9abb · outbound

This paper cites Randomlooprepresentationsforquantumspinsystems.Journal of Mathematical Physics, 54(8), 2013.

Spectral gap of Lee-Yang Hamiltonians Randomlooprepresentationsforquantumspinsystems.Journal of Mathematical Physics, 54(8), 2013

Reference 39

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Observation 8fa360c1-4150-483e-8692-6b663de32c74 · outbound

This paper cites Locality of temperature.Physical Review X, 4(3):031019, 2014.

Spectral gap of Lee-Yang Hamiltonians Locality of temperature.Physical Review X, 4(3):031019, 2014

Reference 40

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Observation 8b805053-8029-44a4-97b4-67e3e40d3ae1 · outbound

This paper cites Efficient algorithms for approximating quantum partition functions.Journal of Mathematical Physics, 62(2):022201, 2021.

Spectral gap of Lee-Yang Hamiltonians Efficient algorithms for approximating quantum partition functions.Journal of Mathematical Physics, 62(2):022201, 2021

Reference 41

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Observation 58ea5e05-1a52-43f8-b499-d87fe5cff4cd · outbound

This paper cites High-temperature Gibbs states are unentangled and efficiently preparable.

Spectral gap of Lee-Yang Hamiltonians High-temperature Gibbs states are unentangled and efficiently preparable

Reference 42

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Observation 8bd2b143-8e33-42bc-88c9-a6c96a753e88 · outbound

This paper cites Fast mixing of all-to-all quantum systems at high temperatures.

Spectral gap of Lee-Yang Hamiltonians Fast mixing of all-to-all quantum systems at high temperatures

Reference 43

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Observation 63b97392-54a7-4b08-9182-3de44a90b481 · outbound

This paper cites A rigorous quasipolynomial-time classical algorithm for SYK thermal expectations.

Spectral gap of Lee-Yang Hamiltonians A rigorous quasipolynomial-time classical algorithm for SYK thermal expectations

Reference 44

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Observation 662b8a94-57a3-4736-8d9c-6021dbfc17d8 · outbound

This paper cites SYK thermal expectations are classically easy at any temperature.

Spectral gap of Lee-Yang Hamiltonians SYK thermal expectations are classically easy at any temperature

Reference 45

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Observation fe3b375e-7075-411c-a0dc-bf5287c6a935 · outbound

This paper cites Classical algorithms, correlation decay, and complex zeros of partition functions of quantum many-body systems.

Spectral gap of Lee-Yang Hamiltonians Classical algorithms, correlation decay, and complex zeros of partition functions of quantum many-body systems

Reference 46

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Observation f682d0fd-6dee-413d-ade4-5ca4a4766725 · outbound

This paper cites Theorems on the partition functions of the Heisenberg ferromagnets.Journal of the Physical Society of Japan, 29(2):350–359, 1970.

Spectral gap of Lee-Yang Hamiltonians Theorems on the partition functions of the Heisenberg ferromagnets.Journal of the Physical Society of Japan, 29(2):350–359, 1970

Reference 47

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Observation 988a216b-68b2-4a5d-90e2-9af2930b9a1d · outbound

This paper cites Zeros of the partition function for the Heisenberg, ferroelectric, and general Ising models.Journal of Mathematical Physics, 12(2):235–246, 1971.

Spectral gap of Lee-Yang Hamiltonians Zeros of the partition function for the Heisenberg, ferroelectric, and general Ising models.Journal of Mathematical Physics, 12(2):235–246, 1971

Reference 48

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Observation c20645d4-41f3-471f-9793-2dd3513c76ee · outbound

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

Spectral gap of Lee-Yang Hamiltonians An inequality for the trace of matrix products, using absolute values

Reference 49

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Pith citing papers

Observation 30db7095-f38f-4706-bb62-e58000afaa4e · inbound

Efficient quantum algorithm for Heisenberg spin systems cites this paper.

Efficient quantum algorithm for Heisenberg spin systems Spectral gap of Lee-Yang Hamiltonians

Reference 31

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