Bulletin of the American Physical Society
52nd Annual Meeting of the APS Division of Atomic, Molecular and Optical Physics
Volume 66, Number 6
Monday–Friday, May 31–June 4 2021; Virtual; Time Zone: Central Daylight Time, USA
Session N01: Poster Session II 4pm-6pm CDT
4:00 PM,
Wednesday, June 2, 2021
Abstract: N01.00055 : Modeling a dynamical purification phase transition in a trapped-ion quantum computer*
Presenter:
Pradeep Niroula
(University of Maryland, College Park)
Authors:
Crystal Noel
(University of Maryland, College Park)
Pradeep Niroula
(University of Maryland, College Park)
Marko Cetina
(University of Maryland)
Daiwei Zhu
(University of Maryland, College Park)
Andrew Risinger
(University of Maryland, College Park)
Laird Egan
(University of Maryland, College Park)
Debopriyo Biswas
(University of Maryland, College Park)
Alexey V Gorshkov
(National Institute of Standards and Technology)
Michael Gullans
(National Institute of Standards and Tech)
David A Huse
(Princeton University)
Christopher R Monroe
(University of Maryland, College Park)
We discuss the theoretical aspects of studying measurement-induced quantum phase transitions in a trapped-ion quantum computer. We study a model of random circuits with measurements that exhibits a ‘purification transition’ as we tune the rate of measurements. In the pure phase, with high measurement rates, the projective measurements cause the system to purify to a fixed state in short times. However, in the mixed phase, the projective measurements spontaneously project quantum information about the initial state into a quantum error correcting code-space that survives on all sufficiently long polynomial timescales. Using our model of random unitary dynamics, we find evidence of different phases at experimentally accessible depths and system sizes and show that, in the limits of longer circuits and moderately larger system sizes, critical properties of the purification transition emerge.
*This work is supported by the ARO with funding from the IARPA LogiQ program, the NSF Practical Fully-Connected Quantum Computer program, the DOE program on Quantum Computing in Chemical and Material Sciences, the AFOSR MURI on Quantum Measurement and Verification, and the AFOSR MURI on Interactive Quantum Computation and Communication Protocols.
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