Fetching the paper…
Reading the bibliography…
We present a family of local quantum channels whose steady-states exhibit stable mixed-state symmetry-protected topological (SPT) order.
T. E. Harris, Contact interactions on a lattice, The Annals of Probability 2
1974
Earlier work this paper cites.
G. Lindblad, On the generators of quantum dynamical semigroups, Communications in Mathematical Physics 48
1976
Earlier work this paper cites.
V. Gorini, A. Kossakowski, and E. C. G. Sudarshan, Completely positive dynamical semigroups of N‐level systems, Journal of Mathematical Physics 17
1976
Earlier work this paper cites.
D. Gottesman and I. L. Chuang, Demonstrating the viability of universal quantum computation using teleportation and single-qubit operations, Nature (London) 402
1999
Earlier work this paper cites.
H. Hinrichsen, Non-equilibrium critical phenomena and phase transitions into absorbing states, Advances in Physics 49
2000
Earlier work this paper cites.
R. Raussendorf and H. J. Briegel, A one-way quantum computer, Phys. Rev. Lett. 86
2001
Earlier work this paper cites.
H. J. Briegel and R. Raussendorf, Persistent entanglement in arrays of interacting particles, Phys. Rev. Lett. 86
2001
Earlier work this paper cites.
A. Y. Kitaev, Fault-tolerant quantum computation by anyons, Annals of Physics 303
2003
Earlier work this paper cites.
J. W. Harrington, Analysis of quantum error-correcting codes: symplectic lattice codes and toric codes , Ph.D. thesis, CalTech (2004)
2004
Earlier work this paper cites.
B. Kraus, H. P. Büchler, S. Diehl, A. Kantian, A. Micheli, and P. Zoller, Preparation of entangled states by quantum markov processes, Physical Review A 78
2008
Earlier work this paper cites.
M. Henkel, H. Hinrichsen, and S. Lübeck, Non-Equilibrium Phase Transitions , Theoretical and Mathematical Physics (Springer Netherlands, 2008)
2008
Earlier work this paper cites.
A. Hamma, C. Castelnovo, and C. Chamon, Toric-boson model: Toward a topological quantum memory at finite temperature, Phys. Rev. B 79
2009
Earlier work this paper cites.
F. Verstraete, M. M. Wolf, and J. Ignacio Cirac, Quantum computation and quantum-state engineering driven by dissipation, Nature Physics 5
2009
Earlier work this paper cites.
T. M. Stace, S. D. Barrett, and A. C. Doherty, Thresholds for topological codes in the presence of loss, Phys. Rev. Lett. 102
2009
Earlier work this paper cites.
T. Chung, S. D. Bartlett, and A. C. Doherty, Characterizing measurement-based quantum gates in quantum many-body systems using correlation functions, Canadian Journal of Physics 87
2009
Earlier work this paper cites.
A. C. Doherty and S. D. Bartlett, Identifying phases of quantum many-body systems that are universal for quantum computation, Phys. Rev. Lett. 103
2009
Earlier work this paper cites.
S. Bravyi, M. B. Hastings, and S. Michalakis, Topological quantum order: Stability under local perturbations, Journal of Mathematical Physics 51
2010
Earlier work this paper cites.
S. Chesi, B. Röthlisberger, and D. Loss, Self-correcting quantum memory in a thermal environment, Phys. Rev. A 82
2010
Earlier work this paper cites.
F. Pollmann, A. M. Turner, E. Berg, and M. Oshikawa, Entanglement spectrum of a topological phase in one dimension, Phys. Rev. B 81
2010
Earlier work this paper cites.
S. Bravyi and M. B. Hastings, A Short Proof of Stability of Topological Order under Local Perturbations, Communications in Mathematical Physics 307
2011
Earlier work this paper cites.
M. B. Hastings, Topological order at nonzero temperature, Phys. Rev. Lett. 107
2011
Earlier work this paper cites.
F. Pastawski, L. Clemente, and J. I. Cirac, Quantum memories based on engineered dissipation, Phys. Rev. A 83
2011
Earlier work this paper cites.
X. Chen, Z.-C. Gu, and X.-G. Wen, Classification of gapped symmetric phases in one-dimensional spin systems, Phys. Rev. B 83
2011
Earlier work this paper cites.
J. R. G. Mendonça, Monte carlo investigation of the critical behavior of stavskaya’s probabilistic cellular automaton, Phys. Rev. E 83
2011
Earlier work this paper cites.
D. V. Else, I. Schwarz, S. D. Bartlett, and A. C. Doherty, Symmetry-protected phases for measurement-based quantum computation, Phys. Rev. Lett. 108
2012
Earlier work this paper cites.
2012
Earlier work this paper cites.
F. Pollmann and A. M. Turner, Detection of symmetry-protected topological phases in one dimension, Phys. Rev. B 86
2012
Earlier work this paper cites.
S. Michalakis and J. P. Zwolak, Stability of Frustration-Free Hamiltonians, Communications in Mathematical Physics 322
2013
Earlier work this paper cites.
H. Bombin, R. W. Chhajlany, M. Horodecki, and M. A. Martin-Delgado, Self-correcting quantum computers, New Journal of Physics 15
2013
Earlier work this paper cites.
X. Chen, Z.-C. Gu, Z.-X. Liu, and X.-G. Wen, Symmetry protected topological orders and the group cohomology of their symmetry group, Phys. Rev. B 87
2013
Cited alongside, same era.
K. Fujii, M. Negoro, N. Imoto, and M. Kitagawa, Measurement-free topological protection using dissipative feedback, Phys. Rev. X 4
2014
Cited alongside, same era.
V. V. Albert and L. Jiang, Symmetries and conserved quantities in lindblad master equations, Phys. Rev. A 89
2014
Cited alongside, same era.
A. C. Whiteside and A. G. Fowler, Upper bound for loss in practical topological-cluster-state quantum computing, Phys. Rev. A 90
2014
Cited alongside, same era.
B. M. Terhal, Quantum error correction for quantum memories, Rev. Mod. Phys. 87
2015
Cited alongside, same era.
T.-C. Lu, Z. Zhang, S. Vijay, and T. H. Hsieh, Mixed-state long-range order and criticality from measurement and feedback, PRX Quantum 4
2023
Later among the works it cites.
2023
Later among the works it cites.
V. Ravindranath, Y. Han, Z.-C. Yang, and X. Chen, Entanglement steering in adaptive circuits with feedback, Phys. Rev. B 108
2023
Later among the works it cites.
T.-C. Lu and S. Vijay, Characterizing long-range entanglement in a mixed state through an emergent order on the entangling surface, Phys. Rev. Res. 5
2023
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
M. Herold, E. T. Campbell, J. Eisert, and M. J. Kastoryano, Cellular-automaton decoders for topological quantum memories, npj Quantum Information 1
2015
Cited alongside, same era.
O. Landon-Cardinal, B. Yoshida, D. Poulin, and J. Preskill, Perturbative instability of quantum memory based on effective long-range interactions, Phys. Rev. A 91
2015
Cited alongside, same era.
N. Lang and H. P. Büchler, Exploring quantum phases by driven dissipation, Phys. Rev. A 92
2015
Cited alongside, same era.
A. Prakash and T.-C. Wei, Ground states of one-dimensional symmetry-protected topological phases and their utility as resource states for quantum computation, Phys. Rev. A 92
2015
Cited alongside, same era.
S. Roberts, B. Yoshida, A. Kubica, and S. D. Bartlett, Symmetry-protected topological order at nonzero temperature, Phys. Rev. A 96
2017
Cited alongside, same era.
G. Dauphinais and D. Poulin, Fault-tolerant quantum error correction for non-abelian anyons, Communications in Mathematical Physics 355
2017
Cited alongside, same era.
M. Herold, M. J. Kastoryano, E. T. Campbell, and J. Eisert, Cellular automaton decoders of topological quantum memories in the fault tolerant setting, New Journal of Physics 19
2017
Cited alongside, same era.
2023
Later among the works it cites.
2023
Later among the works it cites.
2023
Later among the works it cites.
2023
Later among the works it cites.
R. Raussendorf, W. Yang, and A. Adhikary, Measurement-based quantum computation in finite one-dimensional systems: string order implies computational power, Quantum 7
2023
Later among the works it cites.
R. Ma and C. Wang, Average symmetry-protected topological phases, Phys. Rev. X 13
2023
Later among the works it cites.
2023
Later among the works it cites.
2023
Later among the works it cites.
2023
Later among the works it cites.
2023
Later among the works it cites.
M. Kang, W. C. Campbell, and K. R. Brown, Quantum error correction with metastable states of trapped ions using erasure conversion, PRX Quantum 4
2023
Later among the works it cites.
2023
Later among the works it cites.
A. Kubica, A. Haim, Y. Vaknin, H. Levine, F. Brandão, and A. Retzker, Erasure Qubits: Overcoming the T 1
2023
Later among the works it cites.
K. Sahay, J. Jin, J. Claes, J. D. Thompson, and S. Puri, High-threshold codes for neutral-atom qubits with biased erasure errors, Phys. Rev. X 13
2023
Later among the works it cites.
2023
Later among the works it cites.
T. Iadecola, S. Ganeshan, J. H. Pixley, and J. H. Wilson, Measurement and Feedback Driven Entanglement Transition in the Probabilistic Control of Chaos, Phys. Rev. Lett. 131
2023
Later among the works it cites.
P. Sierant and X. Turkeshi, Controlling entanglement at absorbing state phase transitions in random circuits, Phys. Rev. Lett. 130
2023
Later among the works it cites.
N. O’Dea, A. Morningstar, S. Gopalakrishnan, and V. Khemani, Entanglement and absorbing-state transitions in interactive quantum dynamics, Phys. Rev. B 109
2024
Closest in time.
2024
Closest in time.
Y.-J. Liu and S. Lieu, Dissipative phase transitions and passive error correction, Phys. Rev. A 109
2024
Closest in time.
K. Kawabata, R. Sohal, and S. Ryu, Lieb-schultz-mattis theorem in open quantum systems, Phys. Rev. Lett. 132
2024
Closest in time.
2024
Closest in time.
2024
Closest in time.