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Theory of the phase transition in random unitary circuits with measurements

Physical review. B./Physical review. B · 2020 · Vol. 101(10)

Yimu Bao✉(University of California, Berkeley)Soonwon Choi(University of California, Berkeley)Ehud Altman(Lawrence Berkeley National Laboratory)

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Abstract

The interplay of entanglement, measurement, and noise in near-term quantum devices may lead to novel emergent phenomena. This work presents a theoretical framework to understand collective effects in the dynamics of quantum entanglement and information, using the tools of statistical mechanics. The new effective description of generic quantum circuits lends insight into a measurement-induced phase transition in the information content of the system and points toward novel schemes to identify this transition in experiments.

Quantum many-body systems Quantum Computing Algorithms and Architecture Advanced Thermodynamics and Statistical MechanicsQuantum entanglementUnitary stateStatistical physicsPhase transitionElectronic circuitQuantum phase transitionQuantumTransition (genetics)Noise (video)Computer science

Funding

U.S. Department of Energy
Adolph C. and Mary Sprague Miller Institute for Basic Research in Science, University of California Berkeley
European Research Council

Citations

486

FWCI

42.61

field-weighted impact

References

Percentile

100%

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Citations per year

Cited by

Measurement-induced criticality in random quantum circuits