Randomized measurement protocols for lattice gauge theories

Bringewatt, Jacob; Kunjummen, Jonathan; Mueller, Niklas

doi:10.22331/q-2024-03-27-1300

Randomized measurement protocols for lattice gauge theories

Journal Article · Wed Mar 27 00:00:00 EDT 2024 · Quantum

DOI:https://doi.org/10.22331/q-2024-03-27-1300· OSTI ID:2352111

Bringewatt, Jacob ^[1]; Kunjummen, Jonathan ^[1]; Mueller, Niklas ^[2]

NIST/University of Maryland, College Park, MD (United States)
University of Washington, Seattle, WA (United States)

Randomized measurement protocols, including classical shadows, entanglement tomography, and randomized benchmarking are powerful techniques to estimate observables, perform state tomography, or extract the entanglement properties of quantum states. While unraveling the intricate structure of quantum states is generally difficult and resource-intensive, quantum systems in nature are often tightly constrained by symmetries. Furthermore, this can be leveraged by the symmetry-conscious randomized measurement schemes we propose, yielding clear advantages over symmetry-blind randomization such as reducing measurement costs, enabling symmetry-based error mitigation in experiments, allowing differentiated measurement of (lattice) gauge theory entanglement structure, and, potentially, the verification of topologically ordered states in existing and near-term experiments. Crucially, unlike symmetry-blind randomized measurement protocols, these latter tasks can be performed without relearning symmetries via full reconstruction of the density matrix.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Washington, Seattle, WA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: SC0020970; SC0021143

OSTI ID:: 2352111

Report Number(s):: IQuS@UW-21-048; TRN: US2411252

Journal Information:: Quantum, Vol. 8; ISSN 2521-327X

Publisher:: Quantum Science Open CommunityCopyright Statement

Country of Publication:: United States

Language:: English

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