Bulletin of the American Physical Society
APS March Meeting 2024
Monday–Friday, March 4–8, 2024; Minneapolis & Virtual
Session B31: Measurement Induced Criticality in Many-Body Systems
11:30 AM–2:30 PM,
Monday, March 4, 2024
Room: 102C
Sponsoring
Units:
GSNP DQI
Chair: Gabriel Landi; Guilherme Fiusa, University of Rochester
Abstract: B31.00012 : Observing measurement induced entanglement transitions via a tensor network based hybrid quantum algorithm
2:06 PM–2:18 PM
Presenter:
Yariv Yanay
(Laboratory for Physical Sciences)
Authors:
Yariv Yanay
(Laboratory for Physical Sciences)
Charles Tahan
(Laboratory for Physical Sciences)
Brian Swingle
(Brandeis University)
It is hard to access this transition experimentally, as it cannot be seen at the ensemble level. Naively, to observe it one must repeat the experiment until the set of measurement results repeats itself, with likelihood that is exponentially small in the number of measurements.
To overcome this issue, we present a hybrid quantum-classical algorithm based on the use of matrix product states (MPS), which use polynomial-sized tensor networks to represent quantum states with area-law entanglement. An MPS can thus well-approximate the experimental state above $p_{c}$ but fail exponentially below it. We propose using the breakdown of this approximation to pinpoint the critical point.
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