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Paper Citation Record · LEDGER

Efficient quantum algorithm for Heisenberg spin systems

As of 10 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2607.14401.

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2607.14401 v1

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measured 31 of 31 reference resolution

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Outbound references

Observation ecce1558-bc89-4928-865e-028c3bc0b01b · outbound

This paper cites On the computational complexity of ising spin glass models.Journal of Physics A: Mathematical and General, 15(10):3241–3253, 1982.

Efficient quantum algorithm for Heisenberg spin systems On the computational complexity of ising spin glass models.Journal of Physics A: Mathematical and General, 15(10):3241–3253, 1982

Reference 1

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Observation df875f18-b9f9-4afd-8ebf-d278fc0e4ea7 · outbound

This paper cites Kitaev, Alexander Shen, and Mikhail N.

Efficient quantum algorithm for Heisenberg spin systems Kitaev, Alexander Shen, and Mikhail N

Reference 2

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Observation b0feb85e-a1c3-4f06-86fa-c28abc0c7643 · outbound

This paper cites Anyons in an exactly solved model and beyond.Annals of Physics, 321(1):2–111, 2006.

Efficient quantum algorithm for Heisenberg spin systems Anyons in an exactly solved model and beyond.Annals of Physics, 321(1):2–111, 2006

Reference 3

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Observation ea298aea-056f-4b27-afbf-682fcba2467c · outbound

This paper cites Free fermions in disguise.Journal of Physics A: Mathematical and Theoretical, 52(33):335002, 2019.

Efficient quantum algorithm for Heisenberg spin systems Free fermions in disguise.Journal of Physics A: Mathematical and Theoretical, 52(33):335002, 2019

Reference 4

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Observation 7b352b45-89f8-4ae8-9d33-ce734109e036 · outbound

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

Efficient quantum algorithm for Heisenberg spin systems Classical algorithms, correlation decay, and complex zeros of partition functions of quantum many-body systems

Reference 5

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Observation db0779e3-eafc-4195-83f9-6883054f1f1f · outbound

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

Efficient quantum algorithm for Heisenberg spin systems High-temperature gibbs states are unentangled and efficiently preparable

Reference 6

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Observation 6df43329-a2ec-4d90-905c-c38015970e12 · outbound

This paper cites Polynomial-time approximation algorithms for the ising model.SIAM Journal on computing, 22(5):1087–1116, 1993.

Efficient quantum algorithm for Heisenberg spin systems Polynomial-time approximation algorithms for the ising model.SIAM Journal on computing, 22(5):1087–1116, 1993

Reference 7

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Observation 5fe486a6-116b-4c96-a327-0a85239ec9a7 · outbound

This paper cites Monte Carlo simulation of stoquastic Hamiltonians.

Efficient quantum algorithm for Heisenberg spin systems Monte Carlo simulation of stoquastic Hamiltonians

Reference 8

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Observation 9c88b7a7-3733-4125-b769-93bb1756b64b · outbound

This paper cites Polynomial-time classical simulation of quantum ferromagnets.

Efficient quantum algorithm for Heisenberg spin systems Polynomial-time classical simulation of quantum ferromagnets

Reference 9

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Observation d8e14992-04fa-4352-8e74-c964f466196a · outbound

This paper cites Evaluating the evidence for exponential quantum advantage in ground-state quantum chemistry.Nature communications, 14(1):1952, 2023.

Efficient quantum algorithm for Heisenberg spin systems Evaluating the evidence for exponential quantum advantage in ground-state quantum chemistry.Nature communications, 14(1):1952, 2023

Reference 10

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Observation f119ec24-1825-40e1-a24e-c0d9ed2be0b5 · outbound

This paper cites Hunting for quantum-classical crossover in condensed matter problems.npj Quantum Infor- mation, 10(1):45, 2024.

Efficient quantum algorithm for Heisenberg spin systems Hunting for quantum-classical crossover in condensed matter problems.npj Quantum Infor- mation, 10(1):45, 2024

Reference 11

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Observation 1af21e4a-5a45-4a6a-b908-3047245fa7d2 · outbound

This paper cites An efficient and exact noncommu- tative quantum gibbs sampler.arXiv preprint arXiv:2311.09207, 2023.

Efficient quantum algorithm for Heisenberg spin systems An efficient and exact noncommu- tative quantum gibbs sampler.arXiv preprint arXiv:2311.09207, 2023

Reference 12

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Observation ccbfbd57-6c10-481c-9fe3-aef797104dda · outbound

This paper cites Quantum generalizations of glauber and metropolis dynamics.arXiv preprint arXiv:2405.20322, 2024.

Efficient quantum algorithm for Heisenberg spin systems Quantum generalizations of glauber and metropolis dynamics.arXiv preprint arXiv:2405.20322, 2024

Reference 13

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Observation 6df5c8d3-0ab4-4e4b-957f-0d72a2856c12 · outbound

This paper cites Zeros of the partition function for the heisenberg, ferro- electric, and general ising models.Journal of Mathematical Physics, 12(2):235–246, 1971.

Efficient quantum algorithm for Heisenberg spin systems Zeros of the partition function for the heisenberg, ferro- electric, and general ising models.Journal of Mathematical Physics, 12(2):235–246, 1971

Reference 14

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Observation 59326b8f-7d5a-4f69-bde3-8cec885b2040 · outbound

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

Efficient quantum algorithm for Heisenberg spin systems An improved approximation algorithm for quantum max-cut on triangle-free graphs.Quantum, 7:1180, 2023

Reference 15

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Observation 9b7a5e46-924d-4735-8ada-7fd02a21c7a4 · outbound

This paper cites Improved approximation algorithms for the EPR Hamiltonian.

Efficient quantum algorithm for Heisenberg spin systems Improved approximation algorithms for the EPR Hamiltonian

Reference 16

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Observation de547aef-3ccb-462a-bc3b-3bddd3853785 · outbound

This paper cites Lee-yang tensors and hamil- tonian complexity.arXiv preprint arXiv:2602.03605, 2026.

Efficient quantum algorithm for Heisenberg spin systems Lee-yang tensors and hamil- tonian complexity.arXiv preprint arXiv:2602.03605, 2026

Reference 17

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Observation 31d94f48-9efa-448d-849a-4c95b4fefda5 · outbound

This paper cites Adiabatic theorem revisited: The unexpectedly good performance of adiabatic passage.Physical Review A, 103(6):062215, 2021.

Efficient quantum algorithm for Heisenberg spin systems Adiabatic theorem revisited: The unexpectedly good performance of adiabatic passage.Physical Review A, 103(6):062215, 2021

Reference 18

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Observation aaf951ca-0565-4eb6-8dc9-1d78a0323186 · outbound

This paper cites Almost optimal classical approximation algorithms for a quantum generalization of Max-Cut.

Efficient quantum algorithm for Heisenberg spin systems Almost optimal classical approximation algorithms for a quantum generalization of Max-Cut

Reference 19

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Observation 364c3d92-ddec-4901-9917-820efbc5332f · outbound

This paper cites Application of the level-2 quantum Lasserre hierarchy in quantum approximation algorithms.LIPIcs, Volume 198, ICALP 2021, 198:102:1–102:20, 2021.

Efficient quantum algorithm for Heisenberg spin systems Application of the level-2 quantum Lasserre hierarchy in quantum approximation algorithms.LIPIcs, Volume 198, ICALP 2021, 198:102:1–102:20, 2021

Reference 20

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Observation bcbbccb2-6737-4def-824c-f411a1138bc7 · outbound

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

Efficient quantum algorithm for Heisenberg spin systems An improved approximation algorithm for quantum max-cut on triangle-free graphs.Quantum, 7:1180, November 2023

Reference 21

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Observation 1f57526a-e1e4-4bf2-9ab3-46795348c6fc · outbound

This paper cites Optimizing quantum circuit parameters via SDP.

Efficient quantum algorithm for Heisenberg spin systems Optimizing quantum circuit parameters via SDP

Reference 22

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Observation 81c4ed1f-b426-4a09-be02-d26cb32918e8 · outbound

This paper cites An improved quantum Max Cut approximation via matching, 2024.

Efficient quantum algorithm for Heisenberg spin systems An improved quantum Max Cut approximation via matching, 2024

Reference 23

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Observation d46073c2-6b69-440f-a807-01098cf982ea · outbound

This paper cites Monogamy of entanglement bounds and improved approximation algorithms for qudit Hamiltonians, 2025.

Efficient quantum algorithm for Heisenberg spin systems Monogamy of entanglement bounds and improved approximation algorithms for qudit Hamiltonians, 2025

Reference 24

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Observation 44e49844-23af-4544-b65f-2e7c4cd141d5 · outbound

This paper cites Improved algorithms for quantum MaxCut via partially entangled matchings, 2025.

Efficient quantum algorithm for Heisenberg spin systems Improved algorithms for quantum MaxCut via partially entangled matchings, 2025

Reference 25

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Observation 1fffb5bd-f2d6-4446-9bf0-c622399052d8 · outbound

This paper cites Conjectured bounds for 2-local Hamiltonians via token graphs, 2025.

Efficient quantum algorithm for Heisenberg spin systems Conjectured bounds for 2-local Hamiltonians via token graphs, 2025

Reference 26

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Observation 84b61b8f-e8db-4234-9ed9-88e42506d427 · outbound

This paper cites Guest column: The 7 faces of quantum np.ACM SIGACT News, 54(4):54–91, 2024.

Efficient quantum algorithm for Heisenberg spin systems Guest column: The 7 faces of quantum np.ACM SIGACT News, 54(4):54–91, 2024

Reference 27

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Observation cc656d06-d743-4c19-b3d9-5250839f660b · outbound

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

Efficient quantum algorithm for Heisenberg spin systems A 0.8395-approximation algorithm for the epr problem.arXiv preprint arXiv:2512.09896, 2025

Reference 28

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Observation ff991470-10ec-45fb-9346-505c992e4768 · 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.

Efficient quantum algorithm for Heisenberg spin systems Theorems on the partition functions of the Heisenberg ferromagnets.Journal of the Physical Society of Japan, 29(2):350–359, 1970

Reference 29

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Observation b7116cff-c00d-41ff-80e0-229712b6b4bb · outbound

This paper cites Characterization of Lee-Yang polynomials.Annals of Mathematics, pages 589– 603, 2010.

Efficient quantum algorithm for Heisenberg spin systems Characterization of Lee-Yang polynomials.Annals of Mathematics, pages 589– 603, 2010

Reference 30

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

This paper cites Spectral gap of Lee-Yang Hamiltonians.

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

Reference 31

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