BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Yuanjie Ren (MIT) DTSTART:20240924T203000Z DTEND:20240924T213000Z DTSTAMP:20260423T035420Z UID:MathPic/131 DESCRIPTION:Title: Solving the problem of preparing solvable anyons with constant-depth ada ptive quantum circuits\nby Yuanjie Ren (MIT) as part of Mathematical P icture Language Seminar\n\nLecture held in Jefferson 356 and Zoom https:// harvard.zoom.us/j/779283357?pwd=MitXVm1pYUlJVzZqT3lwV2pCT1ZUQT09.\n\nAbstr act\nThe classification of topological phases of quantum matter has recent ly been extended to allow constant-depth adaptive local quantum circuits. In this setting\, a fundamental problem is the classification of topologic al phases that become equivalent to the trivial phase under adaptive quant um circuits. These are precisely the topological phases with ground states that can be prepared by constant-depth adaptive quantum circuits. In this work we establish such a classification in terms of solvable anyon theori es\, and argue that it is complete.\nSolvable anyon theories are a vast ge neralization of solvable groups that includes cyclic nonabelian anyons\, a nd anyons with irrational quantum dimensions such as Ising anyons.\nWe int roduce a sequential gauging procedure that can produce a string-net ground state in any topological phase described by solvable anyons via a constan t-depth adaptive local quantum circuit. We furthermore introduce a sequent ial ungauging and regauging procedure to implement string operators of arb itrary length for any solvable anyon theory via constant-depth adaptive lo cal quantum circuits. Our general results are demonstrated for the quantum double of S3 and for several examples that go beyond solvable groups incl uding the doubled Ising theory\, and the Drinfeld center of the Z3 Tambara -Yamagami category.\n\nPasscode: 657361\n LOCATION:https://researchseminars.org/talk/MathPic/131/ END:VEVENT END:VCALENDAR