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Absolutely stable spatiotemporal order in noisy quantum systems

Abstract:
We introduce a model of nonunitary quantum dynamics that exhibits infinitely long-lived discrete spatiotemporal order robust against any unitary or dissipative perturbation. Ergodicity is evaded by combining a sequence of projective measurements with a local feedback rule that is inspired by Toom’s “north-east-center" classical cellular automaton. The measurements in question only partially collapse the wave function of the system, allowing some quantum coherence to persist. We demonstrate our claims using numerical simulations of a Clifford circuit in two spatial dimensions which allows access to large system sizes, and also present results for more generic dynamics on modest system sizes. We also devise explicit experimental protocols realizing this dynamics using one- and two-qubit gates that are available on present-day quantum computing platforms.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1103/PhysRevLett.129.090404

Authors

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Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Chemistry
Sub department:
Physical & Theoretical Chem
Oxford college:
University College
Role:
Author
ORCID:
0000-0003-2152-472X
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Oxford college:
Hertford College
Role:
Author
ORCID:
0000-0002-5055-5528


Publisher:
American Physical Society
Journal:
Physical Review Letters More from this journal
Volume:
129
Issue:
9
Article number:
090404
Publication date:
2022-08-24
Acceptance date:
2022-06-28
DOI:
EISSN:
1079-7114
ISSN:
0031-9007


Language:
English
Keywords:
Pubs id:
1211364
Local pid:
pubs:1211364
Deposit date:
2022-06-29
ARK identifier:

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