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Symmetry-protected topological phases have fundamentally changed our understanding of quantum matter.
Ian Affleck, Tom Kennedy, Elliott H. Lieb, and Hal Tasaki, “Rigorous results on valence-bond ground states in antiferromagnets,” Phys. Rev. Lett. 59
1987
Earlier work this paper cites.
Marcel Nijs and Koos Rommelse, “Preroughening transitions in crystal surfaces and valence-bond phases in quantum spin chains,” Phys. Rev. B 40
1989
Earlier work this paper cites.
T Kennedy, “Exact diagonalisations of open spin-1 chains,” Journal of Physics: Condensed Matter 2
1990
Earlier work this paper cites.
Roland Georges, Juan J. Borrás-Almenar, Eugenio Coronado, Jacques Curély, and Marc Drillon, “One-dimensional magnetism: An overview of the models,” in Magnetism: Molecules to Materials I (John Wiley & Sons, Ltd, 2001) Chap. 1, pp. 1–47
2001
Earlier work this paper cites.
Robert Raussendorf and Hans J. Briegel, “A one-way quantum computer,” Phys. Rev. Lett. 86
2001
Earlier work this paper cites.
Robert Raussendorf, Daniel E. Browne, and Hans J. Briegel, “Measurement-based quantum computation on cluster states,” Phys. Rev. A 68
2003
Earlier work this paper cites.
C. Schön, E. Solano, F. Verstraete, J. I. Cirac, and M. M. Wolf, “Sequential generation of entangled multiqubit states,” Phys. Rev. Lett. 95
2005
Earlier work this paper cites.
Matthew B. Hastings and Tohru Koma, “Spectral gap and exponential decay of correlations,” Communications in Mathematical Physics 265
2006
Earlier work this paper cites.
C. Schön, K. Hammerer, M. M. Wolf, J. I. Cirac, and E. Solano, “Sequential generation of matrix-product states in cavity qed,” Phys. Rev. A 75
2007
Earlier work this paper cites.
D. Pérez-García, M. M. Wolf, M. Sanz, F. Verstraete, and J. I. Cirac, “String order and symmetries in quantum spin lattices,” Phys. Rev. Lett. 100
2008
Earlier work this paper cites.
Bella Lake, Alexei M. Tsvelik, Susanne Notbohm, D. Alan Tennant, Toby G. Perring, Manfred Reehuis, Chinnathambi Sekar, Gernot Krabbes, and Bernd Büchner, “Confinement of fractional quantum number particles in a condensed-matter system,” Nature Physics 6
2009
Earlier work this paper cites.
Frank Pollmann, Ari M. Turner, Erez Berg, and Masaki Oshikawa, “Entanglement spectrum of a topological phase in one dimension,” Phys. Rev. B 81
2010
Earlier work this paper cites.
Rainer Kaltenbaek, Jonathan Lavoie, Bei Zeng, Stephen D. Bartlett, and Kevin J. Resch, “Optical one-way quantum computing with a simulated valence-bond solid,” Nature Physics 6
2010
Earlier work this paper cites.
B. P. Lanyon, C. Hempel, D. Nigg, M. Müller, R. Gerritsma, F. Zähringer, P. Schindler, J. T. Barreiro, M. Rambach, G. Kirchmair, M. Hennrich, P. Zoller, R. Blatt, and C. F. Roos, “Universal digital quantum simulation with trapped ions,” Science 334
2011
Earlier work this paper cites.
Norbert Schuch, David Pérez-García, and Ignacio Cirac, “Classifying quantum phases using matrix product states and projected entangled pair states,” Phys. Rev. B 84
2011
Earlier work this paper cites.
Frank Pollmann, Erez Berg, Ari M. Turner, and Masaki Oshikawa, “Symmetry protection of topological phases in one-dimensional quantum spin systems,” Phys. Rev. B 85
2012
Earlier work this paper cites.
Frank Pollmann and Ari M. Turner, “Detection of symmetry-protected topological phases in one dimension,” Phys. Rev. B 86
2012
Cited alongside, same era.
Dominic V. Else, Ilai Schwarz, Stephen D. Bartlett, and Andrew C. Doherty, “Symmetry-protected phases for measurement-based quantum computation,” Phys. Rev. Lett. 108
2012
Cited alongside, same era.
I. Cohen and A. Retzker, “Proposal for verification of the haldane phase using trapped ions,” Phys. Rev. Lett. 112
2014
Cited alongside, same era.
Jacob Miller and Akimasa Miyake, “Resource quality of a symmetry-protected topologically ordered phase for quantum computation,” Phys. Rev. Lett. 114
2015
Cited alongside, same era.
I. Cohen, P. Richerme, Z.-X. Gong, C. Monroe, and A. Retzker, “Simulating the haldane phase in trapped-ion spins using optical fields,” Phys. Rev. A 92
2015
L. Zhou, S. Choi, and M. D. Lukin, “Symmetry-protected dissipative preparation of matrix product states,” Phys. Rev. A 104
2021
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J. Ignacio Cirac, David Pérez-García, Norbert Schuch, and Frank Verstraete, “Matrix product states and projected entangled pair states: Concepts, symmetries, theorems,” Rev. Mod. Phys. 93
2021
Later among the works it cites.
Ed Younis, Costin C Iancu, Wim Lavrijsen, Marc Davis, Ethan Smith, and USDOE, “Berkeley quantum synthesis toolkit (bqskit) v1,” (2021)
2021
Later among the works it cites.
Michael Meth, Viacheslav Kuzmin, Rick van Bijnen, Lukas Postler, Roman Stricker, Rainer Blatt, Martin Ringbauer, Thomas Monz, Pietro Silvi, and Philipp Schindler, “Probing phases of quantum matter with an ion-trap tensor-network quantum eigensolver,” Phys. Rev. X 12
2022
Later among the works it cites.
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Cited alongside, same era.
C. Senko, P. Richerme, J. Smith, A. Lee, I. Cohen, A. Retzker, and C. Monroe, “Realization of a quantum integer-spin chain with controllable interactions,” Phys. Rev. X 5
2015
Cited alongside, same era.
2016
Cited alongside, same era.
Huaqing Huang, Yong Xu, Jianfeng Wang, and Wenhui Duan, “Emerging topological states in quasi-two-dimensional materials,” WIREs Computational Molecular Science 7
2017
Cited alongside, same era.
Stephen D Bartlett, Gavin K Brennen, and Akimasa Miyake, “Robust symmetry-protected metrology with the haldane phase,” Quantum Sci. Tech. 3
2017
Cited alongside, same era.
Ruben Verresen, Roderich Moessner, and Frank Pollmann, “One-dimensional symmetry protected topological phases and their transitions,” Phys. Rev. B 96
2017
Cited alongside, same era.
Sanjay Moudgalya, Nicolas Regnault, and B. Andrei Bernevig, “Entanglement of exact excited states of affleck-kennedy-lieb-tasaki models: Exact results, many-body scars, and violation of the strong eigenstate thermalization hypothesis,” Phys. Rev. B 98
2018
Cited alongside, same era.
Sambuddha Chattopadhyay, Hannes Pichler, Mikhail D. Lukin, and Wen Wei Ho, “Quantum many-body scars from virtual entangled pairs,” Phys. Rev. B 101
2020
Cited alongside, same era.
Pimonpan Sompet, Sarah Hirthe, Dominik Bourgund, Thomas Chalopin, Julian Bibo, Joannis Koepsell, Petar Bojović, Ruben Verresen, Frank Pollmann, Guillaume Salomon, Christian Gross, Timon A. Hilker, and Immanuel Bloch, “Realizing the symmetry-protected haldane phase in fermi–hubbard ladders,” Nature 606
2022
Later among the works it cites.
Martin Ringbauer, Michael Meth, Lukas Postler, Roman Stricker, Rainer Blatt, Philipp Schindler, and Thomas Monz, “A universal qudit quantum processor with trapped ions,” Nature Physics 18
2022
Later among the works it cites.
Yulin Chi, Jieshan Huang, Zhanchuan Zhang, Jun Mao, Zinan Zhou, Xiaojiong Chen, Chonghao Zhai, Jueming Bao, Tianxiang Dai, Huihong Yuan, Ming Zhang, Daoxin Dai, Bo Tang, Yan Yang, Zhihua Li, Yunhong Ding, Leif K. Oxenløwe, Mark G. Thompson, Jeremy L. O’Brien, Yan Li, Qihuang Gong, and Jianwei Wang, “A programmable qudit-based quantum processor,” Nat. Commun. 13
2022
Later among the works it cites.
Roman Stricker, Michael Meth, Lukas Postler, Claire Edmunds, Chris Ferrie, Rainer Blatt, Philipp Schindler, Thomas Monz, Richard Kueng, and Martin Ringbauer, “Experimental single-setting quantum state tomography,” PRX Quantum 3
2022
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Zhi-Yuan Wei, Daniel Malz, and J. Ignacio Cirac, “Sequential generation of projected entangled-pair states,” Phys. Rev. Lett. 128
2022
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Kyung-Hwan Jin, Wei Jiang, Gurjyot Sethi, and Feng Liu, “Topological quantum devices: a review,” Nanoscale 15
2023
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Tianqi Chen, Ruizhe Shen, Ching Hua Lee, and Bo Yang, “High-fidelity realization of the AKLT state on a NISQ-era quantum processor,” SciPost Phys. 15
2023
Later among the works it cites.
Yunzhao Wang, Kyrylo Snizhko, Alessandro Romito, Yuval Gefen, and Kater Murch, “Dissipative preparation and stabilization of many-body quantum states in a superconducting qutrit array,” Phys. Rev. A 108
2023
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Kevin C. Smith, Eleanor Crane, Nathan Wiebe, and S.M. Girvin, “Deterministic constant-depth preparation of the aklt state on a quantum processor using fusion measurements,” PRX Quantum 4
2023
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2023
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N. Sadoune and et al., “[manuscript in preparation],” (2024)
2024
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