Paper Citation Record · LEDGER

Symmetry-enforced minimal entanglement and correlation in quantum spin chains

As of 12 August 2026, this Paper Citation Record lists 70 of 70 outbound references and 1 inbound Pith citation observation for arXiv:2412.20765.

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pith.paper-citation-record.v1
2412.20765 v2

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measured 70 of 70 reference resolution

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Pith citing papers itemized under the disclosed page cap.

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

Source: arxiv_reference, observed 2026-07-02T23:27:27.279451Z

Reference resolution

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External citation measurements

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Outbound references

Observation ca44aa63-37a3-472e-9f28-6813498879e5 · outbound

This paper cites So far we can only prove this statement for the special case where α = 1 (see Appendix A), but we are unable to prove or disprove it for other values of α.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains So far we can only prove this statement for the special case where α = 1 (see Appendix A), but we are unable to prove or disprove it for other values of α

Reference 1

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Observation 5e7e75c5-e3f0-4725-a04a-5399e0d5d049 · outbound

This paper cites Also, the minimal correlation length can also be achieved by such a state.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains Also, the minimal correlation length can also be achieved by such a state

Reference 2

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Symmetry-enforced minimal entanglement and correlation in quantum spin chains Unresolved cited work

Reference 3

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Symmetry-enforced minimal entanglement and correlation in quantum spin chains Unresolved cited work

Reference 4

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Symmetry-enforced minimal entanglement and correlation in quantum spin chains Unresolved cited work

Reference 5

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Symmetry-enforced minimal entanglement and correlation in quantum spin chains Unresolved cited work

Reference 6

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This paper cites irreducible.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains irreducible

Reference 7

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Symmetry-enforced minimal entanglement and correlation in quantum spin chains Unresolved cited work

Reference 8

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Observation 6d3388a2-efca-4026-8679-77c25bb91244 · outbound

This paper cites Now that X is an isometry, we have D2 ⩾ D1.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains Now that X is an isometry, we have D2 ⩾ D1

Reference 9

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Observation 1dc6f2a5-89de-4290-b5c6-a5f4263818fc · outbound

This paper cites This implies that |λ| = 1 only if Ai 1 is equivalent to Ai.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains This implies that |λ| = 1 only if Ai 1 is equivalent to Ai

Reference 10

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Observation 4b0812a8-783e-4a6e-9ded-66c5bb91e02d · outbound

This paper cites There- fore, |λ| = 1 if and only if Ai 1 and Ai 2 are equivalent.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains There- fore, |λ| = 1 if and only if Ai 1 and Ai 2 are equivalent

Reference 11

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Reference 12

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Observation 53ad45b3-8d47-4971-b84b-6b2ec36a59fa · outbound

This paper cites Before moving to the proof, we need to understand the relation between one-cut R´ enyi entropy and two- cut R´ enyi entropy.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains Before moving to the proof, we need to understand the relation between one-cut R´ enyi entropy and two- cut R´ enyi entropy

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:19:17.007704Z

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Observation 5151fc98-d23d-430b-9d92-ac5a07ef760b · outbound

This paper cites (152)Hα(ρt.c.) can be expressed as Hα(ρt.c.) = 1 pα pX k=1 Hα(ρk)2.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains (152)Hα(ρt.c.) can be expressed as Hα(ρt.c.) = 1 pα pX k=1 Hα(ρk)2

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:19:16.995624Z

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Observation 4199c81b-a378-40cd-b733-dd01920ac047 · outbound

This paper cites Gapped quantum liquids and topological order, stochastic local transformations and emergence of unitarity.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains Gapped quantum liquids and topological order, stochastic local transformations and emergence of unitarity

Reference 15

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Observation 7591f11b-8837-4f89-9e09-a054b82b8609 · outbound

This paper cites An introduction to spontaneous symmetry breaking,.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains An introduction to spontaneous symmetry breaking,

Reference 16

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Observation 3822ecd7-b63e-4e2c-a4a7-b379ab7e0076 · outbound

This paper cites an unresolved cited work.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains Unresolved cited work

Reference 17

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Observation bcb42a2f-f198-4c9f-a226-14cde48b25b1 · outbound

This paper cites Entanglement-enabled symmetry-breaking orders,.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains Entanglement-enabled symmetry-breaking orders,

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:19:16.957868Z

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Observation 2f587e60-f25f-44c9-a2d0-0a94656fad72 · outbound

This paper cites Two soluble models of an antiferromagnetic chain,.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains Two soluble models of an antiferromagnetic chain,

Reference 19

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Observation f4af7c11-fff8-4bc5-8c28-16a629093403 · outbound

This paper cites Commensurability, excitation gap and topology in quantum many-particle systems on a periodic lattice.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains Commensurability, excitation gap and topology in quantum many-particle systems on a periodic lattice

Reference 20

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Observation e1f787fb-0fda-42cd-8846-4355a67feb6b · outbound

This paper cites Lieb-Schultz-Mattis in higher dimen- sions,.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains Lieb-Schultz-Mattis in higher dimen- sions,

Reference 21

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Observation b2dba69a-48f0-436a-b7a7-5ad81d34b4ac · outbound

This paper cites Matrix Product States: Symmetries and Two-Body Hamiltonians.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains Matrix Product States: Symmetries and Two-Body Hamiltonians

Reference 22

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Observation 7a8ec5ef-e89b-4aed-99a5-ccda834f4e47 · outbound

This paper cites Classification of Gapped Symmetric Phases in 1D Spin Systems.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains Classification of Gapped Symmetric Phases in 1D Spin Systems

Reference 23

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Observation b0f7d4dc-9b66-45fc-b017-620de7d4fe74 · outbound

This paper cites Classifying symmetry-protected topological phases through the anomalous action of the symmetry on the edge.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains Classifying symmetry-protected topological phases through the anomalous action of the symmetry on the edge

Reference 24

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Observation 61e31c23-dab6-4479-bdcc-0982218ea28c · outbound

This paper cites Non-zero momentum requires long-range entanglement.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains Non-zero momentum requires long-range entanglement

Reference 25

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Observation 02cb72a2-a09d-4c86-9578-f4742535686b · outbound

This paper cites Lieb-Schultz-Mattis theorems and generaliza- tions in long-range interacting systems,.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains Lieb-Schultz-Mattis theorems and generaliza- tions in long-range interacting systems,

Reference 26

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This paper cites Mixed-state quantum anomaly and multipartite entanglement.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains Mixed-state quantum anomaly and multipartite entanglement

Reference 27

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Observation 09bf8f9f-9fb5-4c00-bc30-4bc1d709e049 · outbound

This paper cites Symmetry enforced entanglement in maximally mixed states.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains Symmetry enforced entanglement in maximally mixed states

Reference 28

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This paper cites Highly entangled stationary states from strong symmetries.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains Highly entangled stationary states from strong symmetries

Reference 29

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This paper cites Area laws for the entanglement entropy - a review.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains Area laws for the entanglement entropy - a review

Reference 30

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Symmetry-enforced minimal entanglement and correlation in quantum spin chains Area laws in quantum systems: mutual information and correlations

Reference 31

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Symmetry-enforced minimal entanglement and correlation in quantum spin chains Unresolved cited work

Reference 32

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This paper cites 121 (Oxford University Press, 2003).

Symmetry-enforced minimal entanglement and correlation in quantum spin chains 121 (Oxford University Press, 2003)

Reference 33

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Observation 3648cdb1-ac93-4a14-99a0-e2e388905664 · outbound

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Symmetry-enforced minimal entanglement and correlation in quantum spin chains Unresolved cited work

Reference 34

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Symmetry-enforced minimal entanglement and correlation in quantum spin chains An Area Law for One Dimensional Quantum Systems

Reference 35

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Symmetry-enforced minimal entanglement and correlation in quantum spin chains An area law and sub-exponential algorithm for 1D systems

Reference 36

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Symmetry-enforced minimal entanglement and correlation in quantum spin chains An area law for entanglement from exponential decay of correlations

Reference 37

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This paper cites Realistic Area-Law Bound on Entanglement from Exponentially Decaying Correlations.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains Realistic Area-Law Bound on Entanglement from Exponentially Decaying Correlations

Reference 38

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This paper cites Area law of non-critical ground states in 1D long-range interacting systems.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains Area law of non-critical ground states in 1D long-range interacting systems

Reference 39

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Observation 081a88e6-24d5-4852-a460-e3cad5280038 · outbound

This paper cites Geometric and Renormalized Entropy in Conformal Field Theory.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains Geometric and Renormalized Entropy in Conformal Field Theory

Reference 40

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Observation 0f42e2b3-cdb7-4c72-b663-da9fafa285a3 · outbound

This paper cites Entanglement in quantum critical phenomena.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains Entanglement in quantum critical phenomena

Reference 41

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This paper cites Entanglement Entropy and Quantum Field Theory.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains Entanglement Entropy and Quantum Field Theory

Reference 42

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Symmetry-enforced minimal entanglement and correlation in quantum spin chains Entanglement entropy and conformal field theory

Reference 43

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This paper cites Finitely correlated states on quantum spin chains,.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains Finitely correlated states on quantum spin chains,

Reference 44

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Observation 0170caba-1328-4d5f-81e2-338384703891 · outbound

This paper cites Matrix product state representations,.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains Matrix product state representations,

Reference 45

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Observation 77750497-2c84-4e48-8548-82d6440fbb3d · outbound

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Symmetry-enforced minimal entanglement and correlation in quantum spin chains String order and symmetries in quantum spin lattices

Reference 46

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Observation aa1daa07-2b6c-4479-ac5c-4237bf02c39f · outbound

This paper cites Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems

Reference 47

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Observation e358f1a0-761f-45d9-8fd2-ed524960e9af · outbound

This paper cites A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States

Reference 48

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Observation 83906404-a6b0-4e8b-aecf-a14e7b59f6c5 · outbound

This paper cites The density-matrix renormalization group in the age of matrix product states.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains The density-matrix renormalization group in the age of matrix product states

Reference 49

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This paper cites Matrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains Matrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-10T23:19:15.635737Z

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Observation e9a7f7fc-0bab-4646-89c5-5f688b0516f0 · outbound

This paper cites Rigorous results on valence-bond ground states in antiferromagnets,.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains Rigorous results on valence-bond ground states in antiferromagnets,

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:19:16.893558Z

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Observation dbc4778d-af70-42d0-a5d3-a5cf86b1d3f4 · outbound

This paper cites Valence bond ground states in isotropic quan- tum antiferromagnets,.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains Valence bond ground states in isotropic quan- tum antiferromagnets,

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:19:16.882893Z

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Observation a6e9c3d7-c7f4-4910-9187-8df44c60a8b8 · outbound

This paper cites Spectral properties of positive maps on c*-algebras,.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains Spectral properties of positive maps on c*-algebras,

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:19:16.870665Z

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Observation 1902135c-fd7b-4eb7-ae78-7939fc2cea11 · outbound

This paper cites Quantum channels and operations: Guide tour,.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains Quantum channels and operations: Guide tour,

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:19:16.859174Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 30b59467-8ea0-4be4-b8e3-ede53101426a · outbound

This paper cites Equivalence of the Variational Matrix Product Method and the Density Matrix Renormalization Group applied to Spin Chains.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains Equivalence of the Variational Matrix Product Method and the Density Matrix Renormalization Group applied to Spin Chains

Reference 55

Resolution: verified exact; local_arxiv, observed 2026-08-10T23:19:16.159850Z

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Observation 784d1273-e01c-4846-bb4d-3c662526a8b4 · outbound

This paper cites The matrix product approach to quantum spin ladders,.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains The matrix product approach to quantum spin ladders,

Reference 56

Resolution: verified exact; raw_fallback, observed 2026-08-10T23:19:16.141319Z

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Observation 43a86eb6-f06e-46ba-b00b-f0da06513b9d · outbound

This paper cites The non-Abelian density matrix renormalization group algorithm,.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains The non-Abelian density matrix renormalization group algorithm,

Reference 57

Resolution: verified exact; raw_fallback, observed 2026-08-10T23:19:16.057585Z

Source-reported events for the cited work

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Observation 9f093ac3-e2f4-412f-a4c9-9e8220e05eb6 · outbound

This paper cites Tensor network decompositions in the presence of a global symmetry.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains Tensor network decompositions in the presence of a global symmetry

Reference 58

Resolution: verified exact; local_arxiv, observed 2026-08-10T23:19:15.978700Z

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Observation 36cae9ca-6205-41e4-ba95-5d80b7c66364 · outbound

This paper cites Tensor network states and algorithms in the presence of a global SU(2) symmetry.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains Tensor network states and algorithms in the presence of a global SU(2) symmetry

Reference 59

Resolution: verified exact; local_arxiv, observed 2026-08-10T23:19:15.962426Z

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Observation f066235c-01cc-4c1e-8591-7775b507fe7e · outbound

This paper cites Wigner–eckart theorem for an arbitrary group or lie algebra,.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains Wigner–eckart theorem for an arbitrary group or lie algebra,

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:19:16.847926Z

Source-reported events for the cited work

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Observation 4a9f7fa8-3eee-43f5-9a09-87bf89eb5fae · outbound

This paper cites an unresolved cited work.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains Unresolved cited work

Reference 61

Resolution: unresolved; raw_fallback, observed 2026-08-10T23:19:16.835005Z

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Observation d8a67e3d-6235-48bf-9497-7d688e07f24b · outbound

This paper cites 42 (Springer, 1977).

Symmetry-enforced minimal entanglement and correlation in quantum spin chains 42 (Springer, 1977)

Reference 62

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:19:16.822823Z

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Observation f871c103-8da9-470f-833a-9129f5d7952c · outbound

This paper cites an unresolved cited work.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains Unresolved cited work

Reference 63

Resolution: unresolved; raw_fallback, observed 2026-08-10T23:19:16.811057Z

Source-reported events for the cited work

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Observation 941f1f9d-f436-4689-a820-4462d8553943 · outbound

This paper cites Entanglement monotones,.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains Entanglement monotones,

Reference 64

Resolution: unresolved; no resolver link, observed 2026-08-10T23:19:15.681627Z

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Unavailable: canonical work link unavailable.

Observation c8009358-e723-415f-bb6a-88e268a3fae9 · outbound

This paper cites an unresolved cited work.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains Unresolved cited work

Reference 65

Resolution: unresolved; raw_fallback, observed 2026-08-10T23:19:16.799307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 594c8c59-9b7e-493d-9a42-f3538141f395 · outbound

This paper cites an unresolved cited work.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains Unresolved cited work

Reference 66

Resolution: unresolved; raw_fallback, observed 2026-08-10T23:19:16.786682Z

Source-reported events for the cited work

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Observation 450582c7-070b-407e-8997-ca3b816c7f3c · outbound

This paper cites A Fundamen- tal Property of Quantum-Mechanical Entropy,.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains A Fundamen- tal Property of Quantum-Mechanical Entropy,

Reference 67

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:19:16.774320Z

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Observation 56597c9f-a81f-4c37-9562-ded19fcc5546 · outbound

This paper cites Infinitely many information inequal- ities,.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains Infinitely many information inequal- ities,

Reference 68

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:19:16.763535Z

Source-reported events for the cited work

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Observation fe2e9983-a3e5-48ab-b0e2-92028dfac3d5 · outbound

This paper cites The structure of r´ enyi entropic inequalities,.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains The structure of r´ enyi entropic inequalities,

Reference 69

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:19:16.752457Z

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Observation 7267f40c-c9ca-45ae-b6d7-a6c1d8299def · outbound

This paper cites Matrix Product Density Operators: Renormalization Fixed Points and Boundary Theories.

Symmetry-enforced minimal entanglement and correlation in quantum spin chains Matrix Product Density Operators: Renormalization Fixed Points and Boundary Theories

Reference 70

Resolution: unresolved; no resolver link, observed 2026-08-10T23:19:15.702567Z

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Pith citing papers

Observation 42395c9d-42d2-4d65-a573-74de3841bf28 · inbound

Microscopic universal theory of symmetry-enriched topological quantum spin liquids cites this paper.

Microscopic universal theory of symmetry-enriched topological quantum spin liquids Symmetry-enforced minimal entanglement and correlation in quantum spin chains

Reference 47

Resolution: verified exact; arxiv_id, observed 2026-07-02T23:27:27.281147Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.