Random Quantum Circuits

Fisher, Matthew P. A.; Khemani, Vedika; Nahum, Adam; Vijay, Sagar

doi:10.1146/annurev-conmatphys-031720-030658

Title: Random Quantum Circuits

Journal Article · Mon Dec 12 00:00:00 EST 2022 · Annual Review of Condensed Matter Physics

DOI:https://doi.org/10.1146/annurev-conmatphys-031720-030658· OSTI ID:2322482

Fisher, Matthew P. A. ^[1]; Khemani, Vedika ^[2]; Nahum, Adam ^[3]; Vijay, Sagar ^[1]

University of California, Santa Barbara, CA (United States)
Stanford University, CA (United States)
Université de Paris (France)

Quantum circuits—built from local unitary gates and local measurements—are a new playground for quantum many-body physics and a tractable setting to explore universal collective phenomena far from equilibrium. These models have shed light on longstanding questions about thermalization and chaos, and on the underlying universal dynamics of quantum information and entanglement. In addition, such models generate new sets of questions and give rise to phenomena with no traditional analog, such as dynamical phase transitions in quantum systems that are monitored by an external observer. Quantum circuit dynamics is also topical in view of experimental progress in building digital quantum simulators that allow control of precisely these ingredients. Randomness in the circuit elements allows a high level of theoretical control, with a key theme being mappings between real-time quantum dynamics and effective classical lattice models or dynamical processes. Many of the universal phenomena that can be identified in this tractable setting apply to much wider classes of more structured many-body dynamics.

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Research Organization:: Stanford Univ., CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC) Basic Energy Sciences (BES); National Science Foundation (NSF); Simons Foundation

Grant/Contract Number:: SC0021111; NSF PHY-1748958; 651440

OSTI ID:: 2322482

Journal Information:: Annual Review of Condensed Matter Physics, Vol. 14, Issue 1; ISSN 1947-5454

Publisher:: Annual ReviewsCopyright Statement

Country of Publication:: United States

Language:: English

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75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
entanglement
nonequilibrium dynamics
quantum simulators
quantum measurements
quantum chaos

Title: Random Quantum Circuits

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