{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:22:25Z","timestamp":1753885345075,"version":"3.41.2"},"reference-count":22,"publisher":"World Scientific Pub Co Pte Ltd","issue":"04","funder":[{"name":"NSF","award":["PHY-2310662"],"award-info":[{"award-number":["PHY-2310662"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Open Syst. Inf. Dyn."],"published-print":{"date-parts":[[2024,12]]},"abstract":"<jats:p> We derive a new constructive procedure to rapidly generate ensembles of phase-covariant dynamical maps that may be associated to the individual spins of a closed quantum system. We do this by first computing the single-spin dynamical maps in small XXZ networks and chains, specialized to the class of initial states that guarantees phase-covariant dynamics for each spin. Since the dynamics in any small, closed system contains oscillatory features associated to the system size, we define an averaging procedure to extract time-homogeneous dynamics. We use the the average map and the set of deviations from the average map in the exactly derived ensembles to motivate the form of distributional functions for map parameters. The distributions then straightforwardly generate arbitrary-sized ensembles of channels, constrained by a few global properties. This procedure can also generate ensembles where individual maps are not phase-covariant although the average map is, corresponding to realizations of disordered, or noisy, Hamiltonians. The construction procedure suggests new ways to realize random families of open-system dynamics, subject to constraints that require the ensemble to approximate a partition of a closed system. <\/jats:p>","DOI":"10.1142\/s1230161224500161","type":"journal-article","created":{"date-parts":[[2024,12,31]],"date-time":"2024-12-31T01:43:48Z","timestamp":1735609428000},"source":"Crossref","is-referenced-by-count":0,"title":["Effective Dynamics of Qubit Networks via Phase-Covariant Quantum Ensembles"],"prefix":"10.1142","volume":"31","author":[{"given":"Sean","family":"Prudhoe","sequence":"first","affiliation":[{"name":"Institute of Gravitation and the Cosmos, The Pennsylvania State University, Whitmore 321, University Park, PA, USA"},{"name":"Department of Physics, The Pennsylvania State University, Davey 104, University Park, PA, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Unnati","family":"Akhouri","sequence":"additional","affiliation":[{"name":"Institute of Gravitation and the Cosmos, The Pennsylvania State University, Whitmore 321, University Park, PA, USA"},{"name":"Department of Physics, The Pennsylvania State University, Davey 104, University Park, PA, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tommy","family":"Chin","sequence":"additional","affiliation":[{"name":"Institute of Gravitation and the Cosmos, The Pennsylvania State University, Whitmore 321, University Park, PA, USA"},{"name":"Department of Physics, The Pennsylvania State University, Davey 104, University Park, PA, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sarah","family":"Shandera","sequence":"additional","affiliation":[{"name":"Institute of Gravitation and the Cosmos, The Pennsylvania State University, Whitmore 321, University Park, PA, USA"},{"name":"Department of Physics, The Pennsylvania State University, Davey 104, University Park, PA, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2024,12,30]]},"reference":[{"key":"S1230161224500161BIB001","doi-asserted-by":"publisher","DOI":"10.1103\/PRXQuantum.3.040329"},{"key":"S1230161224500161BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/0034-4877(93)90014-6"},{"key":"S1230161224500161BIB004","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.93.052103"},{"key":"S1230161224500161BIB005","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.81.066209"},{"key":"S1230161224500161BIB006","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.123.140403"},{"key":"S1230161224500161BIB007","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8121\/ab4d26"},{"key":"S1230161224500161BIB008","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.123.234103"},{"key":"S1230161224500161BIB009","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.124.040401"},{"key":"S1230161224500161BIB010","doi-asserted-by":"publisher","DOI":"10.1142\/S1230161223500075"},{"key":"S1230161224500161BIB011","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.127.170602"},{"key":"S1230161224500161BIB012","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.102.134310"},{"key":"S1230161224500161BIB015","doi-asserted-by":"publisher","DOI":"10.1088\/2399-6528\/ace0f4"},{"key":"S1230161224500161BIB016","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.116.120801"},{"key":"S1230161224500161BIB017","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/aab67f"},{"key":"S1230161224500161BIB018","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-31146-9_4"},{"key":"S1230161224500161BIB019","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8121\/acccbf"},{"key":"S1230161224500161BIB020","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8121\/acd1c7"},{"key":"S1230161224500161BIB021","doi-asserted-by":"publisher","DOI":"10.1016\/j.physrep.2022.09.003"},{"key":"S1230161224500161BIB022","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8121\/ac909b"},{"key":"S1230161224500161BIB024","series-title":"Oxford classic texts in the physical sciences","volume-title":"Symmetric Functions and Hall Polynomials","author":"Macdonald I.G.","year":"1998"},{"key":"S1230161224500161BIB025","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevX.6.031023"},{"key":"S1230161224500161BIB027","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2008.11.043"}],"container-title":["Open Systems &amp; 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