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SUMMARY:Classification of quantum states under k-local and sequential quan
 tum circuits - Arpit Dua\, Virginia Tech
DTSTART:20240229T150000Z
DTEND:20240229T160000Z
UID:TALK212782@talks.cam.ac.uk
CONTACT:Subhayan Roy Moulik
DESCRIPTION:Whether a given target quantum state can be prepared by starti
 ng with a simple product state and acting with a finite-depth quantum circ
 uit is a key question in condensed matter physics and quantum information 
 science. It underpins the classification of topological phases and the und
 erstanding of topological quantum codes and has obvious relevance for devi
 ce implementations. Traditionally\, this question assumes that (1) the qua
 ntum circuit consists of unitary gates that are geometrically local and (2
 ) when the circuit depth is linear\, there are no restrictions on the numb
 er of gates acting on each degree of freedom. In this talk\, I discuss the
  classification of quantum states under two classes of quantum circuits: f
 inite-depth circuits\, where gates are allowed to be geometrically non-loc
 al\, and sequential linear-depth circuits\, where only a constant number o
 f gates are allowed to act on each degree of freedom. Such classes of quan
 tum circuits establish a hierarchy among many-body entangled states.
LOCATION:https://cam-ac-uk.zoom.us/j/85955101140?pwd=SUdqb25Ic1RSRDBKQmtPc
 G9UQ095Zz09
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