{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,27]],"date-time":"2026-03-27T04:17:39Z","timestamp":1774585059689,"version":"3.50.1"},"reference-count":67,"publisher":"World Scientific Pub Co Pte Ltd","issue":"03","funder":[{"name":"National Science Foundation","award":["2047564"],"award-info":[{"award-number":["2047564"]}]},{"name":"National Science Foundation","award":["2315398"],"award-info":[{"award-number":["2315398"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Open Syst. Inf. Dyn."],"published-print":{"date-parts":[[2023,9]]},"abstract":"<jats:p> Symmetry is an important and unifying notion in many areas of physics. In quantum mechanics, it is possible to eliminate degrees of freedom from a system by leveraging symmetry to identify the possible physical transitions. This allows us to simplify calculations and characterize potentially complicated dynamics of the system with relative ease. Previous works have focused on devising quantum algorithms to ascertain symmetries by means of fidelity-based symmetry measures. In our present work, we develop alternative symmetry testing quantum algorithms that are efficiently implementable on quantum computers. Our approach estimates asymmetry measures based on the Hilbert\u2013Schmidt distance, which is significantly easier, in a computational sense, than using fidelity as a metric. The method is derived to measure symmetries of states, channels, Lindbladians, and measurements. We apply this method to a number of scenarios involving open quantum systems, including the amplitude damping channel and a spin chain, and we test for symmetries within and outside the finite symmetry group of the Hamiltonian and Lindblad operators. <\/jats:p>","DOI":"10.1142\/s1230161223500178","type":"journal-article","created":{"date-parts":[[2023,11,7]],"date-time":"2023-11-07T02:43:41Z","timestamp":1699325021000},"source":"Crossref","is-referenced-by-count":4,"title":["Efficient Quantum Algorithms for Testing Symmetries of Open Quantum Systems"],"prefix":"10.1142","volume":"30","author":[{"given":"Rahul","family":"Bandyopadhyay","sequence":"first","affiliation":[{"name":"Department of Electrical and Computer Engineering, University of California, Davis, California 95616, USA"}]},{"given":"Alex H.","family":"Rubin","sequence":"additional","affiliation":[{"name":"Department of Electrical and Computer Engineering, University of California, Davis, California 95616, USA"},{"name":"Department of Physics and Astronomy, University of California, Davis, California 95616, USA"}]},{"given":"Marina","family":"Radulaski","sequence":"additional","affiliation":[{"name":"Department of Electrical and Computer Engineering, University of California, Davis, California 95616, USA"}]},{"given":"Mark M.","family":"Wilde","sequence":"additional","affiliation":[{"name":"School of Electrical and Computer Engineering, Cornell University, Ithaca, New York 14850, USA"}]}],"member":"219","published-online":{"date-parts":[[2023,11,6]]},"reference":[{"issue":"5","key":"S1230161223500178BIB001","doi-asserted-by":"crossref","first-page":"1428","DOI":"10.1103\/PhysRev.155.1428","volume":"155","author":"Aharonov Yakir","year":"1967","journal-title":"Physical Review"},{"issue":"7779","key":"S1230161223500178BIB002","doi-asserted-by":"crossref","first-page":"505","DOI":"10.1038\/s41586-019-1666-5","volume":"574","author":"Arute 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