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Paper Citation Record · LEDGER

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond

As of 8 August 2026, this Paper Citation Record lists 70 of 70 outbound references and 5 inbound Pith citation observations for arXiv:2603.19189.

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

pith.paper-citation-record.v1
2603.19189 v2

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measured 70 of 70 reference resolution

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Source: pith, observed 2026-07-02T21:47:27.983868Z

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70 of 70 outbound references displayed

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Outbound references

Observation f9d928e5-8b6d-42cb-83e2-f52ef62b1da4 · outbound

This paper cites Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond

Reference 1

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Observation 1323c3cb-c02d-42af-89e6-8f27c4683147 · outbound

This paper cites Matrix product state representa- tions.Quantum Info.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Matrix product state representa- tions.Quantum Info

Reference 2

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Observation f33fbb4c-e19b-4d44-bc80-c865916848f1 · outbound

This paper cites Entanglement spectrum of a topological phase in one dimension.Physical review b, 81(6):064439, 2010.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Entanglement spectrum of a topological phase in one dimension.Physical review b, 81(6):064439, 2010

Reference 3

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Observation c7a26b91-62f7-45a3-8e09-cd74274ace70 · outbound

This paper cites Clas- sification of gapped symmetric phases in one-dimensional spin systems.Physical Review B, 83(3):035107, 2011.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Clas- sification of gapped symmetric phases in one-dimensional spin systems.Physical Review B, 83(3):035107, 2011

Reference 4

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Observation 6c11c2a4-0251-4772-8d6e-eebc01f71e09 · outbound

This paper cites Classifying quantum phases using matrix product states and projected entangled pair states.Physical review b, 84(16):165139, 2011.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Classifying quantum phases using matrix product states and projected entangled pair states.Physical review b, 84(16):165139, 2011

Reference 5

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Observation 92d16d9c-4451-4f6c-91f8-8767930d5109 · outbound

This paper cites Turner, and Masaki Oshikawa.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Turner, and Masaki Oshikawa

Reference 6

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Observation 97e6ed8f-0063-4a7e-8040-875691edd713 · outbound

This paper cites Symmetry protected topological orders and the group cohomology of their symmetry group.Phys.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Symmetry protected topological orders and the group cohomology of their symmetry group.Phys

Reference 7

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Observation 7e40a64f-2b93-471f-bd00-01d7d05fa020 · outbound

This paper cites Two soluble models of an antiferromagnetic chain.Annals of Physics, 16(3):407–466, 1961.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Two soluble models of an antiferromagnetic chain.Annals of Physics, 16(3):407–466, 1961

Reference 8

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:678f28be998bd5ed6c9904021b55fa5c772d79f55b78371a72396b178e1668d4

Observation 96455734-e37a-433b-9032-b1f4aae7c7f1 · outbound

This paper cites Commensurability, excitation gap, and topology in quantum many-particle systems on a periodic lattice.Physical review letters, 84(7):1535, 2000.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Commensurability, excitation gap, and topology in quantum many-particle systems on a periodic lattice.Physical review letters, 84(7):1535, 2000

Reference 9

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Observation 3d5af3ba-3680-4d0e-948d-638e3e0c3e4a · outbound

This paper cites Lieb-schultz-mattis in higher di- mensions.Physical Review B, 69(10):104431, 2004.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Lieb-schultz-mattis in higher di- mensions.Physical Review B, 69(10):104431, 2004

Reference 10

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Observation fa111db0-b442-46c2-b24f-6aa3d407d0e0 · outbound

This paper cites Topological order and absence of band insulators at integer filling in non- symmorphic crystals.Nature Physics, 9(5):299–303, 2013.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Topological order and absence of band insulators at integer filling in non- symmorphic crystals.Nature Physics, 9(5):299–303, 2013

Reference 11

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Observation 62a7ead2-68e5-4171-acbe-3fb6c47c1b4d · outbound

This paper cites Effective field theory for one-dimensional valence-bond-solid phases and their symmetry protection.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Effective field theory for one-dimensional valence-bond-solid phases and their symmetry protection

Reference 12

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:abcff848561c71f6a4f35ff7328dee949d454d8fd05c65e27aeaafb268b08270

Observation 41d19f16-c28a-4736-81e5-eb8e4f21d74f · outbound

This paper cites Filling constraints for spin-orbit cou- pled insulators in symmorphic and nonsymmorphic crys- tals.Proceedings of the National Academy of Sciences, 112(47):14551–14556, 2015.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Filling constraints for spin-orbit cou- pled insulators in symmorphic and nonsymmorphic crys- tals.Proceedings of the National Academy of Sciences, 112(47):14551–14556, 2015

Reference 13

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:23b08545ea33b4f4eb12828b9ab05c383736516e7eb23d3c3fe360b6a77fb435

Observation 9a285314-097b-4ef2-ae3a-60515b469568 · outbound

This paper cites Gen- eral lieb–schultz–mattis type theorems for quantum spin chains.Communications in Mathematical Physics, 385(1):79–99, 2021.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Gen- eral lieb–schultz–mattis type theorems for quantum spin chains.Communications in Mathematical Physics, 385(1):79–99, 2021

Reference 14

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Observation 3690b1f4-d5c3-43a4-a790-6ef65bd2a7bd · outbound

This paper cites Twisted boundary con- dition and lieb-schultz-mattis ingappability for discrete symmetries.Phys.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Twisted boundary con- dition and lieb-schultz-mattis ingappability for discrete symmetries.Phys

Reference 15

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:3720a5520060b8ecb0f08c9dc90f5c36db5ca4573441717b80e0af36de76ac1e

Observation 9c712c40-8cf2-4ca1-a5a2-42070649da8f · outbound

This paper cites Topological characterization of Lieb- Schultz-Mattis constraints and applications to symmetry- enriched quantum criticality.SciPost Phys., 13:066, 2022.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Topological characterization of Lieb- Schultz-Mattis constraints and applications to symmetry- enriched quantum criticality.SciPost Phys., 13:066, 2022

Reference 16

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Observation 840d556e-c0f0-4c58-8bba-4ec9f8e4854c · outbound

This paper cites Lieb-Schultz-Mattis, Luttinger, and ’t Hooft - anomaly matching in lattice systems.SciPost Phys., 15:051, 2023.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Lieb-Schultz-Mattis, Luttinger, and ’t Hooft - anomaly matching in lattice systems.SciPost Phys., 15:051, 2023

Reference 17

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Observation 469ed5ea-cceb-450c-b7f9-57233e3c6da7 · outbound

This paper cites Boundary conditions and anomalies of confor- mal field theories in 1 + 1 dimensions.Phys.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Boundary conditions and anomalies of confor- mal field theories in 1 + 1 dimensions.Phys

Reference 18

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Observation 814eff3f-71d5-47bc-914f-4795b30fa1ed · outbound

This paper cites Duality viewpoint of criticality.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Duality viewpoint of criticality

Reference 19

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:e669b7f39ff790160d3b59c8671dc1912f159462c5b75b61f4dbcc82e02ee717

Observation 7a2dcff2-ff8f-44e2-b22b-3c49f5ee68d6 · outbound

This paper cites Lieb-schultz-mattis theorem for 1d quantum mag- nets with antiunitary translation and inversion symme- tries.Phys.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Lieb-schultz-mattis theorem for 1d quantum mag- nets with antiunitary translation and inversion symme- tries.Phys

Reference 20

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:731a6446e8b944ac27594ca58e9e6e18665b7fd1ba2faa8d7fdfde1f2db653d9

Observation 8079a842-0dca-42b7-9df3-fcc80f9092b7 · outbound

This paper cites Incompressible quantum liquids and new conservation laws.Physical review letters, 95(26):266405, 2005.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Incompressible quantum liquids and new conservation laws.Physical review letters, 95(26):266405, 2005

Reference 21

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Observation 18b66900-3f1a-4a40-9995-51bf65f71629 · outbound

This paper cites Subdiffusion and heat transport in a tilted two-dimensional fermi-hubbard system.Physical Review X, 10(1):011042, 2020.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Subdiffusion and heat transport in a tilted two-dimensional fermi-hubbard system.Physical Review X, 10(1):011042, 2020

Reference 22

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Observation 84cf24e7-93f8-4cc6-b77e-4a999c9ca0c8 · outbound

This paper cites Observing non- ergodicity due to kinetic constraints in dark states.Na- ture communications, 596(7871):206–210, 2021.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Observing non- ergodicity due to kinetic constraints in dark states.Na- ture communications, 596(7871):206–210, 2021

Reference 23

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:47a9ce9e3c919adeb9dd89afbf4bcb7bf4343c97178d0f5ae46f5c2db85e1276

Observation 22067100-93b9-466e-84bc-ebc8f6334e3d · outbound

This paper cites Quantum glassiness in strongly corre- lated clean systems: An example of topological overpro- tection.Physical review letters, 94(4):040402, 2005.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Quantum glassiness in strongly corre- lated clean systems: An example of topological overpro- tection.Physical review letters, 94(4):040402, 2005

Reference 24

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:7b2726699e72af49852d67679fc702863425bc5b0bf8a6c52fc1854142f1697e

Observation bfea0a15-9619-4804-bd0f-ea461180d87e · outbound

This paper cites Local stabilizer codes in three dimen- sions without string logical operators.Physical Review A, 83(4):042330, 2011.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Local stabilizer codes in three dimen- sions without string logical operators.Physical Review A, 83(4):042330, 2011

Reference 25

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:ea4b1a0de31c058a4151716f3ef28d919aaf3dcb58ed5d13908858343398c31a

Observation bea9a6d7-be57-44f8-9a9c-8fb8c4905715 · outbound

This paper cites Fracton Topological Order, Generalized Lattice Gauge Theory and Duality.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Fracton Topological Order, Generalized Lattice Gauge Theory and Duality

Reference 26

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Observation 029d6074-571b-4adf-904c-e64fe34901fd · outbound

This paper cites Fractons.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Fractons

Reference 27

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:8edfc49e902e8a2e19ca6e82ea80e7709e71cbd6f9556c36e5169cf511680486

Observation 145a8da4-357e-4938-83be-d40c8b709a85 · outbound

This paper cites Fracton matter.International Journal of Modern Physics A, 35(06):2030003, 2020.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Fracton matter.International Journal of Modern Physics A, 35(06):2030003, 2020

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:4579cad3585f2a27fc18f8ba13b6f557730745a8a5393af7f3e47fcc5368e16c

Observation e2e6a771-0b23-4279-8ce5-1f5410013485 · outbound

This paper cites Foliated frac- ton order from gauging subsystem symmetries.SciPost Physics, 6(4):041, 2019.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Foliated frac- ton order from gauging subsystem symmetries.SciPost Physics, 6(4):041, 2019

Reference 29

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Observation 3d605d2a-c4a4-41a7-82b7-f11291e2ad0c · outbound

This paper cites Fractons from vector gauge theory.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Fractons from vector gauge theory

Reference 30

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:6ba0e144acac7857bd4b772a3ca9495932f1ecbd269978695d86db550835fa8d

Observation fe671b31-37fe-4efe-a466-3cdcaba848b5 · outbound

This paper cites Towards classification of fracton phases: the multipole algebra.Physical Review X, 9(3):031035, 2019.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Towards classification of fracton phases: the multipole algebra.Physical Review X, 9(3):031035, 2019

Reference 31

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Observation 39a04017-90a8-40f8-be89-adcb9a60c452 · outbound

This paper cites Subsystem symmetry protected topological or- der.Physical Review B, 98(3):035112, 2018.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Subsystem symmetry protected topological or- der.Physical Review B, 98(3):035112, 2018

Reference 32

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:49c82a1c0b6b9c0a887cc147f847d912acbc57cad30d63772cbe6512276ada86

Observation ab032b0e-17a3-4563-8213-76c233d91aae · outbound

This paper cites Fractons and exotic spacetime symmetries.SciPost Physics, 9(4):046, 2020.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Fractons and exotic spacetime symmetries.SciPost Physics, 9(4):046, 2020

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:5fe24ec7b08061a07b15b282fa18490d497b67dec4f8583ab593d8dd2e94cbf4

Observation c48da6a8-0099-4132-a767-b67d0acc1780 · outbound

This paper cites Lieb-schultz-mattis-type theorems and other nonperturbative results for strongly correlated sys- tems with conserved dipole moments.Physical Review B, 103(12):125133, 2021.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Lieb-schultz-mattis-type theorems and other nonperturbative results for strongly correlated sys- tems with conserved dipole moments.Physical Review B, 103(12):125133, 2021

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:942d9a7b320fbc42f85078249b646af5789ce4c74aaf45ff060b8d4aff2e74a8

Observation 311c31c2-04c2-4de9-8745-7921ecf70158 · outbound

This paper cites Topological and frac- tonic insulators from exact geometric responses.Physical review letters, 129(10):106601, 2022.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Topological and frac- tonic insulators from exact geometric responses.Physical review letters, 129(10):106601, 2022

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:044dda6745c4be667b688d012cc31afad5bcc3af73939339e3650caf82ed64b1

Observation 8f430b11-7a47-46c1-b0a9-b590ac35d3d7 · outbound

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Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Lieb-schultz-mattis constraints from stratified anomalies of modulated symmetries.arXiv preprint arXiv:2602.11266, 2024

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:c5bad0e6c9e11a7a254f6b01cf9511dc34941350a31efd9233dd52578c7521e9

Observation 525e96d9-8f7f-429b-a366-97eedae2c1d0 · outbound

This paper cites an unresolved cited work.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Unresolved cited work

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:e5b8daae22e8cc4c51e5ada3df7949532c4a0d87a97983a8ed9ff0a81c5f6f24

Observation 5d6e384c-0876-4edc-9b52-638ba4d55d57 · outbound

This paper cites The 21-cm signal during the end stages of reionization.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond The 21-cm signal during the end stages of reionization

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:86cbcf04c0574a8b24904cb625523043f4192dceb83183005fba71bcb9fac63f

Observation 8d4fbe5e-f033-4d7d-ae00-f96deb1af15d · outbound

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Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Generalized Kramers-Wannier Duality from Bilinear Phase Map

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:45d883d73789b3d1e6453cb4954a9c3fa21d7042c0744d2b7929c4ad3de33dbb

Observation 4a80bea7-f6de-4c4e-9ac6-2dfbcb9859ec · outbound

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Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Gen- erating lattice non-invertible symmetries.SciPost Phys., 17:104, 2024

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:ddda32c85a223898f9b8b641fce65c27364caac8e45b22a4b7d0339d98e872e8

Observation a71a0680-bb69-4c85-90fc-d53fc8c32ec3 · outbound

This paper cites Classification of dipolar symmetry- protected topological phases: Matrix product states, sta- bilizer hamiltonians, and finite tensor gauge theories.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Classification of dipolar symmetry- protected topological phases: Matrix product states, sta- bilizer hamiltonians, and finite tensor gauge theories

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:9916512d25c305de0dcabd430e44bb75c78ebfebafa193ab6950617edfff0985

Observation 21e40936-2a40-49d8-9198-98ef816fa588 · outbound

This paper cites Lattice translation modulated symmetries and tfts.arXiv preprint arXiv:2510.03889, 2025.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Lattice translation modulated symmetries and tfts.arXiv preprint arXiv:2510.03889, 2025

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:730950b43e089c94771c1fe6eca006dc81fe1d232860ad2aa43be11470811529

Observation b2ad522d-fe09-48de-ac80-1f8dd937cf52 · outbound

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Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Generalized symmetry-protected topological phases in mixed states from gauging dualities

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:e3b25579a9c6d7521d992a1f2598ea4144bc2fbae09a56ec7f57be3f996d8341

Observation ebf4c9fe-0ce7-438e-9568-780c4288c182 · outbound

This paper cites Dyonic lieb-schultz-mattis theorem and symmetry protected topological phases in decorated dimer models.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Dyonic lieb-schultz-mattis theorem and symmetry protected topological phases in decorated dimer models

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:55abe7c79366987bd28e445b352162d6e068fef59c5860a204a3b3121202ba2b

Observation c2543adb-b768-4f0a-8a54-f04ddc9861ab · outbound

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Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Generalized lieb-schultz-mattis theorem on bosonic symmetry protected topological phases.SciPost Physics, 11(2):024, 2021

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:4e0f547ed3175d569b0d6f263da149702ba200029940dd5677c140b72962f98e

Observation b313050e-343c-48fa-a574-725e92a6e478 · outbound

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Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Lieb-schultz-mattis theorems for symmetry-protected topological phases.Annals of Physics, 470:169806, 2024

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:396f434aa16ada1101db3b0448217fac1a53b1bc5fafde2dc83a1cd1f625a966

Observation 6575dfec-b779-4064-9c03-8343425172d7 · outbound

This paper cites P´ erez-Garc´ ıa, M.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond P´ erez-Garc´ ıa, M

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:89068308cd24809338e18314b555deb02163d78dd1eecf3140b86fc79f8edfc2

Observation dee8a1cf-7252-47f9-acec-f3e215d645d1 · outbound

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Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Hand- waving and interpretive dance: an introductory course on tensor networks.Journal of physics A: Mathematical and theoretical, 50(22):223001, 2017

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:5881ae3d11b448654b62240867b4a6f0f66e65f5b3183c5c37af109755cf3c18

Observation c8a6600f-aa68-4a45-a47e-0a642b1fffca · outbound

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Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Towards classification of fracton phases: The multipole algebra.Phys

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:b29db5515a9a22f7a997241c18d0681cdb5c7b5ba528abed5d25ad59cfc3cecc

Observation e3b6fe0e-44e1-450c-9c15-2583cad1d0e2 · outbound

This paper cites Defect Networks for Topological Phases Protected By Modulated Symmetries.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Defect Networks for Topological Phases Protected By Modulated Symmetries

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:e4880db76a971f6655aa0c51d215e9b34ed78c3c981bc8813c09f692794c55a7

Observation 006b0e22-22f7-404f-addc-2e982b586b4c · outbound

This paper cites Pace and Daniel Bulmash.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Pace and Daniel Bulmash

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:88078185d7b08fed63dcda8ba62e2c479857eb1dbc1135cb0533fc4d784c62ce

Observation a3ff2e25-aba1-4e40-819b-d51e8d528895 · outbound

This paper cites Ignacio Cirac, and Barbara Kraus.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Ignacio Cirac, and Barbara Kraus

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:74fa3d080398ede89678e31119eedde93bd5da3105a8e5ee6d7fd67600595746

Observation fbcaf537-aa32-48ef-8420-f4431c832482 · outbound

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Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Subsystem symmetries, quantum cellular automata, and computational phases of quantum matter.Quantum, 3:142, 2019

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:50d0345980d19df3dbf9abc67d54832512b2650657fe83f514131bd895aaa430

Observation b4b6bf55-0403-4a21-ad6a-cbb930826aaa · outbound

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Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Classifying one- dimensional quantum states prepared by a single round of measurements.PRX Quantum, 6(1):010329, 2025

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:8bc90d97c6b5bea2bcecf07d127947de7c37c3d869ef1df3297a8acf06694490

Observation cf8ac178-2d34-4e7d-bc23-8ddba4105fec · outbound

This paper cites Stephen and Oliver Hart.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Stephen and Oliver Hart

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:78a8ae719ee111ea132981eea7638723cdf21081a234f78fbd5acb1f0ae5335b

Observation 2429b986-ecca-418d-913d-2447512e8503 · outbound

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Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Smith, Abid Khan, Bryan K

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:7e35f1f876ff8e6fceb42a7a83ee25ae67cdc80cf5ffbb5a670c8cc23e749fe8

Observation 8a73f268-b5ee-4288-a4f8-47698e0e51ca · outbound

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Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Characterizing matrix-product states and pro- jected entangled-pair states preparable via measurement and feedback.PRX Quantum, 5(4):040304, 2024

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:97366784c7f9f82a3f0309a5e4379a16afeed54d84efe9bd49d4f00f9cac1ec3

Observation 507c42f8-9006-49e0-84c4-7bd794ed721e · outbound

This paper cites From the quantum breakdown model to the lattice gauge theory, 2024.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond From the quantum breakdown model to the lattice gauge theory, 2024

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:fe03a88546a3aa12a16921e3a53d201da2fca0809caf424497945025d85655b0

Observation 5fabcbea-2b98-4eb1-8fb0-b4f7028523d3 · outbound

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Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Quantum breakdown condensate as a disorder-free quantum glass, 2025

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:a93602f7e3351ba180aa561b57fa34e32c54a1d902129f9d2affb660bf01ec67

Observation af837d6f-5d00-4754-90fa-5fcff0a7d83a · outbound

This paper cites an unresolved cited work.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Unresolved cited work

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:138816f23fbf0980fbd8b1e87b868c5f1225c43fe845f9c45e9559ebf4b527f2

Observation b1c84218-253b-4155-9163-b00d9e907a32 · outbound

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Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Anomalies and unusual stability of multicomponent luttinger liquids in 𭟋n ×𭟋 n spin chains.Phys

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:4b2e27e8551208c1cc9896b7e509af3f706e8fc28e8cef9ecfee85bb75137046

Observation 16717e09-7d8d-4b4a-a8b5-fd93e91de9c3 · outbound

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Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Ma- trix product states for modulated topological phases: 7 Crystalline equivalence principle and lieb-schultz-mattis constraints, to appear

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:7e4b49ad624f0db25532e1ebb8d25c807af9dbc2ac8dd56ded1f57d0bfc99d9b

Observation ac708a92-da85-4021-a5e3-d3e9e5719020 · outbound

This paper cites Ignacio Cirac, David P´ erez-Garc´ ıa, Norbert Schuch, and Frank Verstraete.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Ignacio Cirac, David P´ erez-Garc´ ıa, Norbert Schuch, and Frank Verstraete

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:26e77591394a415d7575e8ec36ff835d3704e329aea4d23891fb0818e83f8d87

Observation 6f53d9ca-7f24-4566-9e2d-0ef75f90e488 · outbound

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Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Matrix product state classification of one- dimensional multipole symmetry-protected topological phases.Physical Review B, 112(19), November 2025

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:a56f19eac8efacc9a37205a00434c5abed61917e261f043ae24d58f6fbf30400

Observation 87a02713-75a3-4416-9df2-a5d891d5ec67 · outbound

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Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Normal projected entangled pair states generating the same state.New Journal of Physics, 20(11):113017, November 2018

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:53e4d567a87da53148db4efdd6205b86224804310e90353cc9f457df12785856

Observation 4aedcfa1-2a99-4d1e-87d0-91667be7ac33 · outbound

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Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Spacetime symmetry-enriched symtft: from lsm anoma- lies to modulated symmetries and beyond.SciPost Physics, 20(1):007, 2026

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:9998de0067924451c4bf3657d89243bf7c2e16986e776ce9a163ce3d2c42dcce

Observation 21dceff7-bc7c-4b08-b5ed-930c1858bd00 · outbound

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Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Matrix product states: Entanglement, symmetries, and state transformations.Physical Review Letters, 123(17):170504, 2019

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:3aef019d30edc879326a8fee3b1aebd36c84b4e11e43958d2b8948efeb5cc785

Observation f3dfe3a1-9081-422b-b699-207804dd5727 · outbound

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Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:a0d6aeb779c957d6f4b0f8e863fe3876f36e18a29b5d763647752c6003801b20

Observation fd8bf5e3-84e2-4390-b546-49cd9940740d · outbound

This paper cites an unresolved cited work.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Unresolved cited work

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source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:9eebd1807398bd95c0116e8386324676543e6e1125061e83f01af03ea88240b1

Observation ca9624ae-37de-4710-9aef-72beba270b0f · outbound

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Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond dipole-exponential

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unresolved
no resolver link, observed 2026-07-13T22:07:26.204482Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:19e2dffca637c101f2fd7b4f719517be436691ed3326104fc6bf0fdb301ba30c

Pith citing papers

Observation f9d928e5-8b6d-42cb-83e2-f52ef62b1da4 · inbound

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond cites this paper.

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond

Reference 1

Resolution
unresolved
no resolver link, observed 2026-07-13T22:07:26.204482Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T22:07:26.204482Z digest=sha256:f680ddecde0ca205af2912bcc0575530124009c875cfe4f305c7da6f58bab5c1

Observation 59f8d1e7-687c-4d0e-b7cb-9e2eb4ad6a97 · inbound

Matrix Product States for Modulated Topological Phases: Crystalline Equivalence Principle and Lieb-Schultz-Mattis Constraints cites this paper.

Matrix Product States for Modulated Topological Phases: Crystalline Equivalence Principle and Lieb-Schultz-Mattis Constraints Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond

Reference 62

Resolution
verified exact
arxiv_id, observed 2026-06-19T17:09:53.183183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-15T07:54:14.651087Z digest=sha256:693b268896ce12388e046744e488a34421690dd5c57832d00958a5fd90b81b48

Observation a6f1c12a-f408-47ad-8fec-548e148e593e · inbound

Lieb-Schultz-Mattis Anomalies and Anomaly Matching cites this paper.

Lieb-Schultz-Mattis Anomalies and Anomaly Matching Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond

Reference 25

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metadata mismatch
arxiv_id, observed 2026-06-19T17:09:53.183183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-13T22:38:46.850119Z digest=sha256:9edcc4cf009af0da394ccd267f4d9565973fd22fd3b0e6dc02eaa311308ff604

Observation c0a21f84-1f48-4e89-b98a-2568bb26a511 · inbound

Projector, Neural, and Tensor-Network Representations of $\mathbb{Z}_N$ Cluster and Dipolar-cluster SPT States cites this paper.

Projector, Neural, and Tensor-Network Representations of $\mathbb{Z}_N$ Cluster and Dipolar-cluster SPT States Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond

Reference 30

Resolution
verified exact
arxiv_id, observed 2026-06-19T17:09:53.183183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-10T17:47:29.828774Z digest=sha256:864992be9b05dd5481e3eeff33b06d298aed88e599e249b5d3c055a3bcabd03b

Observation 30336df8-6280-41a2-b81c-608492a8cec7 · inbound

Translationally Covariant Modulated Symmetries: Classification and Goldstone cites this paper.

Translationally Covariant Modulated Symmetries: Classification and Goldstone Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond

Reference 30

Resolution
verified exact
local_arxiv, observed 2026-07-02T21:47:27.984978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-27T19:30:08.091658Z digest=sha256:7c442d32956657d267387ad54e25d3b9342116dffff3bb7f684684245b46a12f