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X-ORIGINAL-URL:https://iqus.uw.edu/
X-WR-CALNAME:IQuS
X-WR-CALDESC:InQubator for Quantum Simulation
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UID:MEC-afe434653a898da20044041262b3ac74@iqus.uw.edu
DTSTART:20221019T200000Z
DTEND:20221019T210000Z
DTSTAMP:20220930T213800Z
CREATED:20220930
LAST-MODIFIED:20221005
PRIORITY:5
SEQUENCE:0
TRANSP:OPAQUE
SUMMARY:Topological order from finite-depth circuits and measurements: from theory to quantum devices
DESCRIPTION:Nat Tantivasadakarn, Caltech\n \n\nA fundamental distinction between many-body quantum states are those with short- and long-range entanglement (SRE and LRE). The latter, such as cat states, topological order, or critical states cannot be created by finite-depth circuits. Remarkably, examples are known where LRE is obtained by performing single-site measurements on SRE states such as preparing the toric code from measuring a sublattice of a 2D cluster state. I will present a general framework of how and why these known protocols give rise to long range entanglement based on interpreting the cluster state measurement as implementing the non-local Kramers-Wannier transformation. This provides a scalable and practical way to “gauge” a symmetry using only finite-depth circuits and measurements, and moreover allows us to go beyond the preparation of stabilizer states. In addition, we find a complexity hierarchy on long-range entangled states based on the minimal number of measurement layers required to create the state. I will argue that certain phases of matter cannot be prepared using any finite number of layers, while remarkably certain non-Abelian topological orders can be prepared in a single round of measurement. As an application, I will outline how current NISQ devices, ranging from Rydberg atom arrays to Google’s quantum processors, c an scalably prepare a large class of exotic phases such as non-Abelian topological order and even fracton phases.\n\nThis talk is based on 2112.01519, 2112.03061, 2209.03964, and 2209.06202\n
URL:https://iqus.uw.edu/events/tba-2/
CATEGORIES:Seminars
LOCATION:UW, 15th and Pacific, Seattle
ATTACH;FMTTYPE=image/png:https://iqus.uw.edu/wp-content/uploads/2022/09/Nat.png
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