Area law of non-critical ground states in 1D long-range interacting systems | Paper Citation Record

Observation 7aba4484-d9b9-4fbc-addf-8145933c85dc · outbound

This paper cites Entan- glement in quantum critical phenomena,.

Area law of non-critical ground states in 1D long-range interacting systems Entan- glement in quantum critical phenomena,

Reference 1

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Observation 2d7f9038-6787-417b-b18f-2df2d4f91d57 · outbound

This paper cites Entanglementen- tropy and quantum ﬁeld theory,.

Area law of non-critical ground states in 1D long-range interacting systems Entanglementen- tropy and quantum ﬁeld theory,

Reference 2

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Observation 3fc0507c-83aa-4a1c-9498-48fbebe35b73 · outbound

This paper cites Colloquium: Area laws for the entanglement entropy,.

Area law of non-critical ground states in 1D long-range interacting systems Colloquium: Area laws for the entanglement entropy,

Reference 3

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Observation f53f9911-eed4-4a42-86e1-61902254b08d · outbound

This paper cites An area law for one-dimensional quan- tum systems,.

Area law of non-critical ground states in 1D long-range interacting systems An area law for one-dimensional quan- tum systems,

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-14T10:21:08.776857Z

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Observation 8b733bdd-040d-4fe2-b350-05858a6904af · outbound

This paper cites Im- provedone-dimensionalarealawforfrustration-freesys- tems,.

Area law of non-critical ground states in 1D long-range interacting systems Im- provedone-dimensionalarealawforfrustration-freesys- tems,

Reference 5

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Observation 232e73a1-eaad-453d-9745-d413ed327959 · outbound

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

Area law of non-critical ground states in 1D long-range interacting systems An area law and sub-exponential algorithm for 1D systems

Reference 6

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Observation 9e3600a6-c407-4836-8d8b-8d47e96e1177 · outbound

This paper cites Rigorous rg algorithms and area laws for low energy eigenstates in 1d,.

Area law of non-critical ground states in 1D long-range interacting systems Rigorous rg algorithms and area laws for low energy eigenstates in 1d,

Reference 7

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Observation 4b78e980-5f29-4c28-b575-439a3c0aa8b4 · outbound

This paper cites An area law for entanglement from exponential decay of correlations,.

Area law of non-critical ground states in 1D long-range interacting systems An area law for entanglement from exponential decay of correlations,

Reference 8

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Observation 1352be28-c03c-44ca-b8b6-677b7e7d7248 · outbound

This paper cites Realistic area-law bound on entangle- ment from exponentially decaying correlations,.

Area law of non-critical ground states in 1D long-range interacting systems Realistic area-law bound on entangle- ment from exponentially decaying correlations,

Reference 9

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Observation dbaefa55-4809-46bc-a3a8-74b564eb3a99 · outbound

This paper cites Entanglement properties of the harmonic chain,.

Area law of non-critical ground states in 1D long-range interacting systems Entanglement properties of the harmonic chain,

Reference 10

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Observation 8b0437e3-f776-4b12-8be1-19987c3d2fae · outbound

This paper cites En- tropy, entanglement, and area: Analytical results for harmonic lattice systems,.

Area law of non-critical ground states in 1D long-range interacting systems En- tropy, entanglement, and area: Analytical results for harmonic lattice systems,

Reference 11

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Observation fb3c94e2-55ca-45bb-8e16-12e3d43024d3 · outbound

This paper cites A polynomial-time algorithm for ground states of spin trees.

Area law of non-critical ground states in 1D long-range interacting systems A polynomial-time algorithm for ground states of spin trees

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-14T10:21:09.199073Z

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Observation 46a48d5b-ec01-4004-b3c6-cc2f0dedeb5b · outbound

This paper cites Area law for the entropy of low-energy states,.

Area law of non-critical ground states in 1D long-range interacting systems Area law for the entropy of low-energy states,

Reference 13

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Observation ca8b9e09-672c-4c97-8e0a-2dd2d7d302dd · outbound

This paper cites En- tanglement area law from speciﬁc heat capacity,.

Area law of non-critical ground states in 1D long-range interacting systems En- tanglement area law from speciﬁc heat capacity,

Reference 14

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Observation 060c4b5e-7b35-4e78-8f34-bed856e3aa0f · outbound

This paper cites Entropyandentanglementinquantum ground states,.

Area law of non-critical ground states in 1D long-range interacting systems Entropyandentanglementinquantum ground states,

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-14T10:21:08.820470Z

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Observation 62d110b1-8dcd-4341-81ad-d2f336594637 · outbound

This paper cites Suﬃcient condition for entanglement area laws in thermodynamically gapped spin systems,.

Area law of non-critical ground states in 1D long-range interacting systems Suﬃcient condition for entanglement area laws in thermodynamically gapped spin systems,

Reference 16

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Observation bff968ac-16b6-4e0e-89c7-d6d477d31f24 · outbound

This paper cites En- tanglement subvolume law for 2d frustration-free spin systems,.

Area law of non-critical ground states in 1D long-range interacting systems En- tanglement subvolume law for 2d frustration-free spin systems,

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-14T10:21:08.827382Z

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Observation 5e85aca5-f8a4-4951-bafe-6f619f4796d7 · outbound

This paper cites Thedensity-matrixrenormalization group in the age of matrix product states,.

Area law of non-critical ground states in 1D long-range interacting systems Thedensity-matrixrenormalization group in the age of matrix product states,

Reference 18

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Observation 4457b1b3-54b5-4c1a-9d9d-bb98a2ab0ec6 · outbound

This paper cites A polynomial time algorithm for the ground state of one-dimensional gapped local hamiltonians,.

Area law of non-critical ground states in 1D long-range interacting systems A polynomial time algorithm for the ground state of one-dimensional gapped local hamiltonians,

Reference 19

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Observation 17b420b2-90ee-4584-87aa-320557399441 · outbound

This paper cites Complete classiﬁcation of one-dimensional gapped quantum phases in interacting spin systems,.

Area law of non-critical ground states in 1D long-range interacting systems Complete classiﬁcation of one-dimensional gapped quantum phases in interacting spin systems,

Reference 20

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Observation 896e191a-7ed1-4930-916b-2fa2efab358a · outbound

This paper cites Non-local propagation of correlations in quantum systems with long-range interactions,.

Area law of non-critical ground states in 1D long-range interacting systems Non-local propagation of correlations in quantum systems with long-range interactions,

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-14T10:21:08.840038Z

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Observation 441d4dee-387a-48df-acfb-74ac91450e3b · outbound

This paper cites Quasiparticle engineering and entangle- ment propagation in a quantum many-body system,.

Area law of non-critical ground states in 1D long-range interacting systems Quasiparticle engineering and entangle- ment propagation in a quantum many-body system,

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-14T10:21:08.843034Z

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Observation 6230676d-fdc4-4556-94f7-d5640034cc85 · outbound

This paper cites Emergence and frustra- tion of magnetism with variable-range interactions in a quantum simulator,.

Area law of non-critical ground states in 1D long-range interacting systems Emergence and frustra- tion of magnetism with variable-range interactions in a quantum simulator,

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-14T10:21:08.846033Z

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Observation 4903226e-9db3-44ba-8806-f6b82cfddaec · outbound

This paper cites Ob- servation of a many-body dynamical phase transition with a 53-qubit quantum simulator,.

Area law of non-critical ground states in 1D long-range interacting systems Ob- servation of a many-body dynamical phase transition with a 53-qubit quantum simulator,

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:10.132245Z

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Observation 7d6fe631-7f78-4ccd-954a-23436e2bad77 · outbound

This paper cites Coherentmany-bodyspin dynamics in a long-range interacting ising chain,.

Area law of non-critical ground states in 1D long-range interacting systems Coherentmany-bodyspin dynamics in a long-range interacting ising chain,

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:10.119510Z

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Observation 215a6e52-7db9-4a8f-aa91-bd550e0c7a68 · outbound

This paper cites Many-body interferom- etry of a rydberg-dressed spin lattice,.

Area law of non-critical ground states in 1D long-range interacting systems Many-body interferom- etry of a rydberg-dressed spin lattice,

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:10.105483Z

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Observation 27d6be3d-aa30-4c4b-aad1-b144001629bd · outbound

This paper cites Entanglement entropy for the long-range ising chain in a transverse ﬁeld,.

Area law of non-critical ground states in 1D long-range interacting systems Entanglement entropy for the long-range ising chain in a transverse ﬁeld,

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:10.091692Z

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Observation b4969d65-fd8d-4fd3-8354-254e841f36e2 · outbound

This paper cites Critical behav- ior of quantum magnets with long-range interactions in the thermodynamic limit,.

Area law of non-critical ground states in 1D long-range interacting systems Critical behav- ior of quantum magnets with long-range interactions in the thermodynamic limit,

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:10.080438Z

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Observation 936f99d5-425b-4c65-99c1-f256e0843d67 · outbound

This paper cites Kitaev chains with long-range pairing,.

Area law of non-critical ground states in 1D long-range interacting systems Kitaev chains with long-range pairing,

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:10.068465Z

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Observation 3b271dc5-a68d-4bab-a90a-1e9f483b0121 · outbound

This paper cites Eﬀective theory and breakdown of conformal symmetry in a long-range quantum chain,.

Area law of non-critical ground states in 1D long-range interacting systems Eﬀective theory and breakdown of conformal symmetry in a long-range quantum chain,

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:10.056474Z

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Observation aa394644-9d86-4595-9b94-dbfba6e10646 · outbound

This paper cites Continuous symmetry breaking in 1d long-range interacting quantum systems,.

Area law of non-critical ground states in 1D long-range interacting systems Continuous symmetry breaking in 1d long-range interacting quantum systems,

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:10.042888Z

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Observation 6241297c-5e9c-4e8c-92e0-62b2d98aa3b1 · outbound

This paper cites Ground states of a frustrated quantum spin chain with long-range interactions,.

Area law of non-critical ground states in 1D long-range interacting systems Ground states of a frustrated quantum spin chain with long-range interactions,

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:10.029685Z

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Observation 52e8e021-4d68-4977-9b03-f8aa52442b75 · outbound

This paper cites Kalei- doscope of quantum phases in a long-range interacting 8 spin-1 chain,.

Area law of non-critical ground states in 1D long-range interacting systems Kalei- doscope of quantum phases in a long-range interacting 8 spin-1 chain,

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:10.017462Z

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Observation e7da6853-f108-4af0-b652-195a37c78eeb · outbound

This paper cites Critical exponents for long-range interactions,.

Area law of non-critical ground states in 1D long-range interacting systems Critical exponents for long-range interactions,

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:10.006839Z

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Observation 18c6ba03-ef7f-4126-87cb-c4ad3d240dd1 · outbound

This paper cites Phasetransitions inthequantumisingandrotormodelswithalong-range interaction,.

Area law of non-critical ground states in 1D long-range interacting systems Phasetransitions inthequantumisingandrotormodelswithalong-range interaction,

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.995286Z

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Observation 0ac57b15-514e-4e9f-b084-32042c678df0 · outbound

This paper cites Random mera states and the tightness of the brandao-horodecki entropy bound,.

Area law of non-critical ground states in 1D long-range interacting systems Random mera states and the tightness of the brandao-horodecki entropy bound,

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.982611Z

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Observation 5a2928a6-fae1-46e6-8dd3-07c86d894dc5 · outbound

This paper cites Quasiadiabatic continuation of quantum states: The stability of topo- logical ground-state degeneracy and emergent gauge in- variance,.

Area law of non-critical ground states in 1D long-range interacting systems Quasiadiabatic continuation of quantum states: The stability of topo- logical ground-state degeneracy and emergent gauge in- variance,

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.970205Z

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Observation 733bb3ee-2da2-46bf-a08a-77d395a30c1d · outbound

This paper cites Entanglementratesandarealaws,.

Area law of non-critical ground states in 1D long-range interacting systems Entanglementratesandarealaws,

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.958448Z

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Observation 3a7baee1-9ab0-4ae7-9a1f-c73391fd811d · outbound

This paper cites Entanglementarea laws for long-range interacting systems,.

Area law of non-critical ground states in 1D long-range interacting systems Entanglementarea laws for long-range interacting systems,

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.947698Z

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Observation 6f6f1924-0070-4578-9bd5-fa8f8a0b2619 · outbound

This paper cites Spectral gap and exponential decay of correlations,.

Area law of non-critical ground states in 1D long-range interacting systems Spectral gap and exponential decay of correlations,

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.937519Z

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Observation 412a4a97-5faa-4d2e-9779-c1ec5c837f3c · outbound

This paper cites Asymptotic behavior of macro- scopic observables in generic spin systems,.

Area law of non-critical ground states in 1D long-range interacting systems Asymptotic behavior of macro- scopic observables in generic spin systems,

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.926483Z

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Observation 0a685542-4708-476f-a292-ebd75754ceed · outbound

This paper cites Local reversibility and entanglement structure of many-body ground states,.

Area law of non-critical ground states in 1D long-range interacting systems Local reversibility and entanglement structure of many-body ground states,

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.915157Z

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Observation 22114eac-c683-4334-96b5-a3ce72378b60 · outbound

This paper cites Area laws in quantum sys- tems: Mutualinformationandcorrelations,.

Area law of non-critical ground states in 1D long-range interacting systems Area laws in quantum sys- tems: Mutualinformationandcorrelations,

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.902756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 0c5423c3-58dd-4683-a01a-934741d26875 · outbound

This paper cites Improved thermal area law and quasi-linear time algorithm for quantum Gibbs states.

Area law of non-critical ground states in 1D long-range interacting systems Improved thermal area law and quasi-linear time algorithm for quantum Gibbs states

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-14T10:21:08.925582Z

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Observation 481f3550-81d2-4370-9bd0-a6ca0334c920 · outbound

This paper cites Measuring entanglement entropy in a quan- tum many-body system,.

Area law of non-critical ground states in 1D long-range interacting systems Measuring entanglement entropy in a quan- tum many-body system,

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.892297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ec49ef54-d888-4431-a2e8-f08ee0976007 · outbound

This paper cites Probing rényi entanglement entropy via randomized measure- ments,.

Area law of non-critical ground states in 1D long-range interacting systems Probing rényi entanglement entropy via randomized measure- ments,

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.881958Z

Source-reported events for the cited work

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Observation 83cc3411-249e-4f93-bf5f-6e202e4d7db7 · outbound

This paper cites General entan- glement scaling laws from time evolution,.

Area law of non-critical ground states in 1D long-range interacting systems General entan- glement scaling laws from time evolution,

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.871173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation fca852e8-08fd-4b2c-98f4-72a5e30386dc · outbound

This paper cites Connecting global and local energy distributions in quantum spin models on a lattice,.

Area law of non-critical ground states in 1D long-range interacting systems Connecting global and local energy distributions in quantum spin models on a lattice,

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.858254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 547f55e2-d7be-4131-8fac-b5416a0b07c3 · outbound

This paper cites Matrix product states represent ground states faithfully,.

Area law of non-critical ground states in 1D long-range interacting systems Matrix product states represent ground states faithfully,

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.844653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c6633b6e-abf3-419a-b5d9-1169706b726a · outbound

This paper cites The approximation of one matrix by another of lower rank,.

Area law of non-critical ground states in 1D long-range interacting systems The approximation of one matrix by another of lower rank,

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.831396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 5d673d01-283c-4364-b9db-217a0488a10f · outbound

This paper cites A multi- dimensional lieb-schultz-mattis theorem,.

Area law of non-critical ground states in 1D long-range interacting systems A multi- dimensional lieb-schultz-mattis theorem,

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.818014Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 60d306ba-fe3d-4146-939c-ecdbff0d3d1a · outbound

This paper cites Bounds on energy absorption and prethermalization in quantum systems with long-range interactions,.

Area law of non-critical ground states in 1D long-range interacting systems Bounds on energy absorption and prethermalization in quantum systems with long-range interactions,

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.805364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7a1deb3f-6be9-4807-b375-91f4024f2c63 · outbound

This paper cites A new class of sym- metric polynomials deﬁned in terms of tableaux,.

Area law of non-critical ground states in 1D long-range interacting systems A new class of sym- metric polynomials deﬁned in terms of tableaux,

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.791948Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 99f9addd-d5f0-422f-9019-fda30ca1b350 · outbound

This paper cites Inhomogeneous ba- sis set of symmetric polynomials deﬁned by tableaux,.

Area law of non-critical ground states in 1D long-range interacting systems Inhomogeneous ba- sis set of symmetric polynomials deﬁned by tableaux,

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.778456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 3c7b8c03-5f16-459c-9dfc-b1bde7c07053 · outbound

This paper cites Exponential bound on informa- tion spreading induced by quantum many-body dy- namics with long-range interactions,.

Area law of non-critical ground states in 1D long-range interacting systems Exponential bound on informa- tion spreading induced by quantum many-body dy- namics with long-range interactions,

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.766975Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 4091e875-2a95-4762-81a5-fa1939ddb41e · outbound

This paper cites an unresolved cited work.

Area law of non-critical ground states in 1D long-range interacting systems Unresolved cited work

Reference 56

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:21:09.756064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation bd06f7a8-9300-458d-9a8e-5c35ab4b7b92 · outbound

This paper cites Main results 12 C.

Area law of non-critical ground states in 1D long-range interacting systems Main results 12 C

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.744410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b1a67180-78be-4c6c-82b1-2299c9baa4eb · outbound

This paper cites Outline of the proof 15.

Area law of non-critical ground states in 1D long-range interacting systems Outline of the proof 15

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.730714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 0d30a124-e3bb-48c9-97a5-e4cf823cc1df · outbound

This paper cites Details of technical lemmas, propositions and sub-theorems 19 A.

Area law of non-critical ground states in 1D long-range interacting systems Details of technical lemmas, propositions and sub-theorems 19 A

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.717067Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 44052a74-eb77-4e53-8bec-754eb7b9e4ee · outbound

This paper cites Upper bound of the entanglement entropy by the AGSP operators 24 G.

Area law of non-critical ground states in 1D long-range interacting systems Upper bound of the entanglement entropy by the AGSP operators 24 G

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.704336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation afe87cff-9d41-453f-a3c9-2c620cdda733 · outbound

This paper cites Construction of the AGSP 29 I.

Area law of non-critical ground states in 1D long-range interacting systems Construction of the AGSP 29 I

Reference 61

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.693644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d0b21bff-6d7a-47a7-9c9b-9a6dbfbd4178 · outbound

This paper cites Proof of Main Theorem 1 32 A.

Area law of non-critical ground states in 1D long-range interacting systems Proof of Main Theorem 1 32 A

Reference 62

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.682952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ecf06a12-dc87-4190-97aa-d83b2aab5534 · outbound

This paper cites an unresolved cited work.

Area law of non-critical ground states in 1D long-range interacting systems Unresolved cited work

Reference 63

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:21:09.672001Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation dcc4ad10-f508-4e88-b54b-4707cb884f0a · outbound

This paper cites an unresolved cited work.

Area law of non-critical ground states in 1D long-range interacting systems Unresolved cited work

Reference 64

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:21:09.661051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 57617427-07b9-46e1-933f-705c65b5e744 · outbound

This paper cites an unresolved cited work.

Area law of non-critical ground states in 1D long-range interacting systems Unresolved cited work

Reference 65

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:21:09.649316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 5d11cd23-9ee4-4336-b4ff-bc0107c41166 · outbound

This paper cites Outline of the proof 41 C.

Area law of non-critical ground states in 1D long-range interacting systems Outline of the proof 41 C

Reference 66

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.636695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation e041e33d-568b-4d68-9c2e-061021a560a9 · outbound

This paper cites Proof of Proposition 8: the second part (S.280) 47 F.

Area law of non-critical ground states in 1D long-range interacting systems Proof of Proposition 8: the second part (S.280) 47 F

Reference 67

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.625595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 36bcfc7a-60d0-4cfc-bbd3-fdd7656c92d9 · outbound

This paper cites List of notations and deﬁnitions 52 Supplementary Note 1.

Area law of non-critical ground states in 1D long-range interacting systems List of notations and deﬁnitions 52 Supplementary Note 1

Reference 68

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.614743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 79926ebb-00c1-43d5-a558-4aa1668843d4 · outbound

This paper cites For example, in the case ofk = 2, the Hamiltonian is given in the form of H = ∑ Z:|Z|=2 hZ + ∑ Z:|Z|=1 hZ = ∑ i<j hi,j + n∑ i=1 hi.

Area law of non-critical ground states in 1D long-range interacting systems For example, in the case ofk = 2, the Hamiltonian is given in the form of H = ∑ Z:|Z|=2 hZ + ∑ Z:|Z|=1 hZ = ∑ i<j hi,j + n∑ i=1 hi

Reference 69

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.603547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation db0a70ec-949a-4a76-a700-9c6fe18554cd · outbound

This paper cites (S.13) Here,VX,Y (Λ 0) is deﬁned for an arbitrary subsetΛ 0⊂Λ such thatX⊔Y ⊂Λ 0.

Area law of non-critical ground states in 1D long-range interacting systems (S.13) Here,VX,Y (Λ 0) is deﬁned for an arbitrary subsetΛ 0⊂Λ such thatX⊔Y ⊂Λ 0

Reference 70

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.590141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d7f0535c-c432-4a5d-a705-d74932baf56e · outbound

This paper cites We also deﬁne the Schmidt rankSR(|ψ⟩,X ) of a state|ψ⟩as follows: |ψ⟩= SR(|ψ⟩,X)∑ m=1 µm|ψX,m⟩⊗|ψXc,m⟩, (S.19) whichistheSchmidtdecomposition.

Reference 71

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.576086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 31a7ad48-86a9-4158-93e8-71ff25c8beb4 · outbound

This paper cites an unresolved cited work.

Area law of non-critical ground states in 1D long-range interacting systems Unresolved cited work

Reference 72

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:21:09.565275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation f3e3ac19-5b85-45a6-b825-1c4bcfc43907 · outbound

This paper cites an unresolved cited work.

Area law of non-critical ground states in 1D long-range interacting systems Unresolved cited work

Reference 73

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:21:09.555370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 39d3413b-c6b0-4e78-a27d-ce90beb90586 · outbound

This paper cites an unresolved cited work.

Area law of non-critical ground states in 1D long-range interacting systems Unresolved cited work

Reference 74

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:21:09.542157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 46162b75-f6b6-481d-89a5-e58a7d01c074 · outbound

This paper cites We have also shown it in Method section in the main text.

Area law of non-critical ground states in 1D long-range interacting systems We have also shown it in Method section in the main text

Reference 75

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.530086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 52bb92e5-57e5-4d60-9bc3-cf917b65fb10 · outbound

This paper cites (S.104) Note thatKt|PKt,1⟩is not normalized.

Area law of non-critical ground states in 1D long-range interacting systems (S.104) Note thatKt|PKt,1⟩is not normalized

Reference 76

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.516324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation daf5f9d6-de60-4ecf-83f2-6a5dc772edc9 · outbound

This paper cites Then,Pi,s(⃗ z) is given by Pi,s(⃗ z) = ∑ t1+t2+···+ts+1=m−s [H⁄=i(⃗ z)]t1(ziHi)[H⁄=i(⃗ z)]t2(ziHi)···[H⁄=i(⃗ z)]ts(ziHi)[H⁄=i(⃗ z)]ts+1.

Area law of non-critical ground states in 1D long-range interacting systems Then,Pi,s(⃗ z) is given by Pi,s(⃗ z) = ∑ t1+t2+···+ts+1=m−s [H⁄=i(⃗ z)]t1(ziHi)[H⁄=i(⃗ z)]t2(ziHi)···[H⁄=i(⃗ z)]ts(ziHi)[H⁄=i(⃗ z)]ts+1

Reference 77

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.503428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c981a2c2-0e03-4ede-95c8-3ccd2a1b5623 · outbound

This paper cites It reduces Eq.

Area law of non-critical ground states in 1D long-range interacting systems It reduces Eq

Reference 78

Resolution: malformed identifier; raw_fallback, observed 2026-08-14T10:21:09.492940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 1c54ee70-db59-406e-86ad-6815c5310722 · outbound

This paper cites an unresolved cited work.

Area law of non-critical ground states in 1D long-range interacting systems Unresolved cited work

Reference 79

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:21:09.481866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b16cb5da-5cf9-47e1-82b8-d4e4564ace0b · outbound

This paper cites This condition implies that the eﬀective Hamiltonian ˜Ht should still have the similar locality to the original oneHt.

Area law of non-critical ground states in 1D long-range interacting systems This condition implies that the eﬀective Hamiltonian ˜Ht should still have the similar locality to the original oneHt

Reference 80

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.469990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 1b27711f-ed97-47df-98c1-72277a8a19a2 · outbound

This paper cites For the purpose, we ﬁrst consider a quantum state|ψ⟩:=⨂q+1 s=0|E0,s⟩.

Area law of non-critical ground states in 1D long-range interacting systems For the purpose, we ﬁrst consider a quantum state|ψ⟩:=⨂q+1 s=0|E0,s⟩

Reference 81

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.457335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 3780487c-523b-4fc2-acde-786faaaa7758 · outbound

This paper cites Also, the constantc2 is proportional to 1/¯αand hence it is ﬁnite in the limit of¯α→∞.

Area law of non-critical ground states in 1D long-range interacting systems Also, the constantc2 is proportional to 1/¯αand hence it is ﬁnite in the limit of¯α→∞

Reference 82

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.444138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 82652d80-da27-44d0-a0d8-94bc2de3a8e0 · outbound

This paper cites (S.201) The ﬁrst inequality in (S.201) gives the lower bound ofm as follows: m≥4c1 log(d) b1 ∆−1/2−1/¯αq3/2+1/¯α√ log(q/∆).

Area law of non-critical ground states in 1D long-range interacting systems (S.201) The ﬁrst inequality in (S.201) gives the lower bound ofm as follows: m≥4c1 log(d) b1 ∆−1/2−1/¯αq3/2+1/¯α√ log(q/∆)

Reference 83

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.431590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b66cdc87-05ee-49d1-b88b-9c0511d2b0d6 · outbound

This paper cites We can prove the following lemma.

Area law of non-critical ground states in 1D long-range interacting systems We can prove the following lemma

Reference 84

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.420151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 5dd8da4c-a781-4a87-b6ab-45255bd86bfe · outbound

This paper cites Let us deﬁne the spectral decomposition of|0t⟩as follows: |0t⟩=a0|˜0t⟩+a1|˜Et,1⟩+ ∑ j≥2 aj|˜Et,j⟩.

Area law of non-critical ground states in 1D long-range interacting systems Let us deﬁne the spectral decomposition of|0t⟩as follows: |0t⟩=a0|˜0t⟩+a1|˜Et,1⟩+ ∑ j≥2 aj|˜Et,j⟩

Reference 85

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.409712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 1dacaab3-8f22-40cd-b6ad-57e7b5f96302 · outbound

This paper cites an unresolved cited work.

Area law of non-critical ground states in 1D long-range interacting systems Unresolved cited work

Reference 86

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:21:09.399604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 5b147f0d-9164-48ad-98e7-cc4249b46a28 · outbound

This paper cites Under the assumption of ⟨0t|˜Ht|0t⟩<E⊥, (S.268) the norm of|0t⟩−|˜0t⟩is bounded from above as follows: ‖|˜0t⟩−|0t⟩‖≤‖˜Ht|0t⟩‖ E⊥−⟨0t|˜Ht|0t⟩.

Area law of non-critical ground states in 1D long-range interacting systems Under the assumption of ⟨0t|˜Ht|0t⟩<E⊥, (S.268) the norm of|0t⟩−|˜0t⟩is bounded from above as follows: ‖|˜0t⟩−|0t⟩‖≤‖˜Ht|0t⟩‖ E⊥−⟨0t|˜Ht|0t⟩

Reference 87

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.389254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b933d2ea-bb8f-4aed-8dc2-683359466b19 · outbound

This paper cites an unresolved cited work.

Area law of non-critical ground states in 1D long-range interacting systems Unresolved cited work

Reference 88

Resolution: malformed identifier; raw_fallback, observed 2026-08-14T10:21:09.377866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 4c10d266-19da-4788-ae21-332d9535bd0c · outbound

This paper cites an unresolved cited work.

Area law of non-critical ground states in 1D long-range interacting systems Unresolved cited work

Reference 89

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:21:09.366966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation f67bf555-7120-498b-a7f2-d36fae1584f4 · outbound

This paper cites (S.5)]: upper bound of one-site energy, which is set to be equal to1 by choosing the energy unit appropriately.

Area law of non-critical ground states in 1D long-range interacting systems (S.5)]: upper bound of one-site energy, which is set to be equal to1 by choosing the energy unit appropriately

Reference 90

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.355561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 407678e9-1f64-49e7-9cac-1e3884867672 · outbound

This paper cites (S.13)]: interaction operator between two subsystemsX⊂Λ and Y ⊂Λ.

Area law of non-critical ground states in 1D long-range interacting systems (S.13)]: interaction operator between two subsystemsX⊂Λ and Y ⊂Λ

Reference 91

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.344004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 1a5b7008-bed3-432c-b4a7-25aefcc1376e · outbound

This paper cites an unresolved cited work.

Area law of non-critical ground states in 1D long-range interacting systems Unresolved cited work

Reference 92

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:21:09.331660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 23cbd122-292d-432d-987a-998a904f1120 · outbound

This paper cites (S.40)]: approximate ground state projection (AGSP) for the ground state|0⟩.

Area law of non-critical ground states in 1D long-range interacting systems (S.40)]: approximate ground state projection (AGSP) for the ground state|0⟩

Reference 93

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.320631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 497994f6-03e8-43cf-8afe-5e167f80d18c · outbound

This paper cites (S.45)]: internal interactions in blockBs.

Area law of non-critical ground states in 1D long-range interacting systems (S.45)]: internal interactions in blockBs

Reference 94

Resolution: malformed identifier; raw_fallback, observed 2026-08-14T10:21:09.308872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation cd342662-dbef-440e-994e-1bcf5a73cdc6 · outbound

This paper cites (S.45)]: interactions between blocksBs and Bs+1.

Area law of non-critical ground states in 1D long-range interacting systems (S.45)]: interactions between blocksBs and Bs+1

Reference 95

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.298934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 4b154cd5-1154-43cb-bd7f-47736c069ba5 · outbound

This paper cites (S.45)]: interaction-truncated Hamiltonian.

Area law of non-critical ground states in 1D long-range interacting systems (S.45)]: interaction-truncated Hamiltonian

Reference 96

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.286406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 430d0131-891f-416e-a2e4-45e3469f440d · outbound

This paper cites 14.{|0t⟩,E t,0, ∆ t}(Lemmas3and4): thegroundstate, thegroundenergyandthespectralgapoftheHamiltonian Ht.

Area law of non-critical ground states in 1D long-range interacting systems 14.{|0t⟩,E t,0, ∆ t}(Lemmas3and4): thegroundstate, thegroundenergyandthespectralgapoftheHamiltonian Ht

Reference 97

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.273483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation cce9f9cf-63b3-4d1d-bb28-7cce20ba51b7 · outbound

This paper cites 16.{˜hs,τs,τ}[Eqs.

Area law of non-critical ground states in 1D long-range interacting systems 16.{˜hs,τs,τ}[Eqs

Reference 98

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.261057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a36f1a40-7518-41b7-b240-2292c2d08318 · outbound

This paper cites (S.50), Supplementary Figure 8]: eﬀective Hamiltonian by using the multi-energy cut-oﬀ.

Area law of non-critical ground states in 1D long-range interacting systems (S.50), Supplementary Figure 8]: eﬀective Hamiltonian by using the multi-energy cut-oﬀ

Reference 99

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.249730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 49361b4e-36d7-4da9-89f0-1f4036f0247f · outbound

This paper cites (S.162), Lemma 11]: approximate ﬁlter function which is utilized to construct the AGSPK.

Area law of non-critical ground states in 1D long-range interacting systems (S.162), Lemma 11]: approximate ﬁlter function which is utilized to construct the AGSPK

Reference 100

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:21:09.236075Z

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