Fetching the paper…
Reading the bibliography…
We systematically investigate the robustness of symmetry protected topological (SPT) order in open quantum systems by studying the evolution of string order parameters and other probes under noisy channels.
“Continuum dynamics of the 1-d heisenberg antiferromagnet: Identification with the o ( 3 ) o(3) nonlinear sigma model”
F.D.M. Haldane · 1983
Earlier work this paper cites.
“Nonlinear field theory of large-spin heisenberg antiferromagnets: Semiclassically quantized solitons of the one-dimensional easy-axis néel state”
F. D. M. Haldane · 1983
Earlier work this paper cites.
“Rigorous results on valence-bond ground states in antiferromagnets”
Ian Affleck, Tom Kennedy, Elliott H. Lieb, and Hal Tasaki · 1987
Earlier work this paper cites.
“Preroughening transitions in crystal surfaces and valence-bond phases in quantum spin chains”
Marcel den Nijs and Koos Rommelse · 1989
Earlier work this paper cites.
“Hidden ℤ 2 × ℤ 2 \mathbb{Z}_{2}\times\mathbb{Z}_{2} symmetry breaking in haldane-gap antiferromagnets”
Tom Kennedy and Hal Tasaki · 1992
Earlier work this paper cites.
“Principles of quantum computation and information”
Giuliano Benenti, Giulio Casati, and Giuliano Strini · 2004
Earlier work this paper cites.
“Long-range quantum entanglement in noisy cluster states”
Robert Raussendorf, Sergey Bravyi, and Jim Harrington · 2005
Earlier work this paper cites.
“Matrix product states represent ground states faithfully”
F. Verstraete and J. I. Cirac · 2006
Earlier work this paper cites.
“Matrix product states represent ground states faithfully”
F. Verstraete and J. I. Cirac · 2006
Earlier work this paper cites.
“An area law for one-dimensional quantum systems”
M B Hastings · 2007
Earlier work this paper cites.
“Matrix product state representations”
D. Perez-Garcia, F. Verstraete, M. M. Wolf, and J. I. Cirac · 2007
Earlier work this paper cites.
“The Theory of Open Quantum Systems”
Heinz-Peter Breuer and Francesco Petruccione · 2007
Earlier work this paper cites.
“Entropy scaling and simulability by matrix product states”
Norbert Schuch, Michael M. Wolf, Frank Verstraete, and J. Ignacio Cirac · 2008
Earlier work this paper cites.
“Preparation of entangled states by quantum markov processes”
B. Kraus, H. P. Büchler, S. Diehl, A. Kantian, A. Micheli, and P. Zoller · 2008
Earlier work this paper cites.
“Entanglement spectrum of a topological phase in one dimension”
F. Pollmann, A. M. Turner, E. Berg, and M. Oshikawa · 2010
Earlier work this paper cites.
“Quantum computation and quantum information: 10th anniversary edition”
Michael A. Nielsen and Isaac L. Chuang · 2010
Earlier work this paper cites.
“The density-matrix renormalization group in the age of matrix product states”
Ulrich Schollwöck · 2011
Earlier work this paper cites.
“Matrix product states and projected entangled pair states: Concepts, symmetries, and theorems”
Ignacio Cirac, David Perez-Garcia, Norbert Schuch, and Frank Verstraete · 2011
Earlier work this paper cites.
“Classification of gapped symmetric phases in one-dimensional spin systems”
Xie Chen, Zheng-Cheng Gu, and Xiao-Gang Wen · 2011
Cited alongside, same era.
“Classifying quantum phases using matrix product states and projected entangled pair states”
Norbert Schuch, David Pérez-García, and Ignacio Cirac · 2011
Cited alongside, same era.
“Topological order at nonzero temperature”
Matthew B. Hastings · 2011
Cited alongside, same era.
“Topology by dissipation in atomic quantum wires”
Sebastian Diehl, Enrique Rico, Mikhail A. Baranov, and Peter Zoller · 2011
Cited alongside, same era.
“Detection of symmetry-protected topological phases in one dimension”
Frank Pollmann and Ari M. Turner · 2012
Cited alongside, same era.
“Symmetry protection of topological phases in one-dimensional quantum spin systems”
Frank Pollmann, Erez Berg, Ari M. Turner, and Masaki Oshikawa · 2012
“Tensor networks in a nutshell” (2017)
Jacob Biamonte and Ville Bergholm · 2017
Later among the works it cites.
“Hand-waving and interpretive dance: An introductory course on tensor networks”
Jacob C. Bridgeman and Christopher T. Chubb · 2017
Later among the works it cites.
“Matrix product states and equivariant topological field theories for bosonic symmetry-protected topological phases in (1+1) dimensions”
Ken Shiozaki and Shinsei Ryu · 2017
Later among the works it cites.
“Topological field theory and matrix product states”
Anton Kapustin, Alex Turzillo, and Minyoung You · 2017
Later among the works it cites.
“Matrix product unitaries: structure, symmetries, and topological invariants”
J Ignacio Cirac, David Perez-Garcia, Norbert Schuch, and Frank Verstraete · 2017
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
“Symmetry protected topological orders in interacting bosonic systems”
Xie Chen, Zheng-Cheng Gu, Zheng-Xin Liu, and Xiao-Gang Wen · 2012
Cited alongside, same era.
“A note on symmetry reductions of the lindblad equation: transport in constrained open spin chains”
Berislav Buča and Tomaž Prosen · 2012
Cited alongside, same era.
“Quantum channels and operations: Guided tour” (2012)
Michael M. Wolf · 2012
Cited alongside, same era.
“Order parameter for symmetry-protected phases in one dimension”
Jutho Haegeman, David Pérez-García, Ignacio Cirac, and Norbert Schuch · 2012
Cited alongside, same era.
“Symmetry protection of measurement-based quantum computation in ground states”
Dominic V Else, Stephen D Bartlett, and Andrew C Doherty · 2012
Cited alongside, same era.
“Index theory of one dimensional quantum walks and cellular automata”
D. Gross, V. Nesme, and H. Vogts · 2012
Cited alongside, same era.
“Computational power of symmetry-protected topological phases”
David T. Stephen, Dong-Sheng Wang, Abhishodh Prakash, Tzu-Chieh Wei, and Robert Raussendorf · 2017
Later among the works it cites.
“Normal projected entangled pair states generating the same state”
Andras Molnar, José Garre-Rubio, David Pérez-García, Norbert Schuch, and J. Ignacio Cirac · 2018
Later among the works it cites.
“Lindbladians with multiple steady states: theory and applications” (2018)
Victor V. Albert · 2018
Later among the works it cites.
“Characters of finite groups”
I.A.G. Berkovich, L.S. Kazarin, and E.M. Zhmud · 2018
Later among the works it cites.
“Matrix product representation of locality preserving unitaries”
M. Burak Şahinoğlu, Sujeet K. Shukla, Feng Bi, and Xie Chen · 2018
Later among the works it cites.
“Classification of phases for mixed states via fast dissipative evolution”
Andrea Coser and David Pérez-García · 2019
Later among the works it cites.
“Simulating quantum many-body dynamics on a current digital quantum computer”
Adam Smith, M. S. Kim, Frank Pollmann, and Johannes Knolle · 2019
Later among the works it cites.
“Symmetry breaking and error correction in open quantum systems”
Simon Lieu, Ron Belyansky, Jeremy T. Young, Rex Lundgren, Victor V. Albert, and Alexey V. Gorshkov · 2020
Later among the works it cites.
“Symmetry breaking and error correction in open quantum systems”
Simon Lieu, Ron Belyansky, Jeremy T. Young, Rex Lundgren, Victor V. Albert, and Alexey V. Gorshkov · 2020
Later among the works it cites.
“Inaccessible entanglement in symmetry protected topological phases”
Caroline de Groot, David T Stephen, Andras Molnar, and Norbert Schuch · 2020
Later among the works it cites.
“Quantum cellular automata, tensor networks, and area laws”
Lorenzo Piroli and J. Ignacio Cirac · 2020
Later among the works it cites.
“Classification of matrix-product unitaries with symmetries”
Zongping Gong, Christoph Sünderhauf, Norbert Schuch, and J. Ignacio Cirac · 2020
Later among the works it cites.
“Identification of symmetry-protected topological states on noisy quantum computers”
Daniel Azses, Rafael Haenel, Yehuda Naveh, Robert Raussendorf, Eran Sela, and Emanuele G. Dalla Torre · 2020
Later among the works it cites.