Modeling a dynamical purification phase transition in a trapped-ion quantum computer

Crystal Noel; Pradeep Niroula; Marko Cetina; Daiwei Zhu; Andrew Risinger; Laird Egan; Debopriyo Biswas; Alexey V Gorshkov; Michael Gullans; David A Huse; Christopher R Monroe

Modeling a dynamical purification phase transition in a trapped-ion quantum computer

POSTER

Abstract

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.

Presenters

Pradeep Niroula

University of Maryland, College Park, JQI, QuICS, NIST, Department of Physics, University of Maryland, College Park, MD 20742;

Authors

Crystal Noel

JQI and QuiCS and Department of Physics, University of Maryland, College Park, MD 20742; Duke Quantum Center and Department of Physics (and ECE), Duke University, Durham, NC, JQI and QuICS and Department of Physics, University of Maryland, College Park, MD 20742; Duke Quantum Center and Department of Physics (and ECE), Duke University, Durham NC 2, University of Maryland, College Park
Pradeep Niroula

University of Maryland, College Park, JQI, QuICS, NIST, Department of Physics, University of Maryland, College Park, MD 20742;
Marko Cetina

JQI and QuiCS and Department of Physics, University of Maryland, College Park, MD 20742; Duke Quantum Center and Department of Physics, Duke University, Durham, NC 27701, JQI and QuICS and Department of Physics, University of Maryland, College Park, MD 20742; Duke Quantum Center and Department of Physics, Duke University, Durham NC 27701, University of Maryland, JQI and QuICS and Department of Physics, University of Maryland, College Park, MD 20742; Duke Quantum Center and Department of Physics, Duke University, Durham NC 27, JQI and QuICS and Department of Physics, University of Maryland, College Park, MD 20742; Duke Quantum Center and Department of Physics (and ECE), Duke University, Durham NC 2
Daiwei Zhu

JQI and QuICS and Departments of ECE and Physics, University of Maryland, College Park, MD 20742, University of Maryland, College Park, JQI and QuICS and Departments of Physics and ECE, University of Maryland, College Park, MD 20742
Andrew Risinger

JQI and QuICS and Departments of ECE and Physics, University of Maryland, College Park, MD 20742, Joint Quantum Institute, University of Maryland, College Park, University of Maryland, College Park, JQI and QuICS and Departments of Physics and ECE, University of Maryland, College Park, MD 20742
Laird Egan

JQI and QuiCS and Department of Physics, University of Maryland, College Park, MD 20742, University of Maryland, College Park, JQI and QuICS and Department of Physics, University of Maryland, College Park, MD 20742, JQI and QuICS and Department of Physics, University of Maryland, College Park, MD 20742; Duke Quantum Center, Duke University, Durham NC 27701, Joint Quantum Institute and Center for Quantum Information and Computer Science, NIST/University of Maryland, College Park, MD 20742
Debopriyo Biswas

JQI and QuiCS and Department of Physics, University of Maryland, College Park, MD 20742, JQI and QuICS and Department of Physics, University of Maryland, College Park, MD 20742, University of Maryland, College Park, JQI and QuICS and Department of Physics, University of Maryland, College Park, MD 20742;, Joint Quantum Institute and Center for Quantum Information and Computer Science, NIST/University of Maryland, College Park, MD 20742
Alexey V Gorshkov

JQI, National Institute of Standards and Technology, Joint Quantum Institute and Joint Center for Quantum Information and Computer Science, University of Maryland and NIST, College Park, MD 20742 USA, JQI, NIST, QuICS and Department of Physics, University of Maryland, College Park, MD 20742;, Joint Quantum Institute, NIST/University of Maryland, College Park, Maryland 20742 USA
Michael Gullans

National Institute of Standards and Tech, JQI, NIST, QuICS and Department of Physics, University of Maryland, College Park, MD 20742
David A Huse

Princeton University, Department of Physics, Princeton University, Princeton NJ 08540
Christopher R Monroe

JQI and QuiCS and Department of Physics, University of Maryland, College Park, MD 20742; Duke Quantum Center and Department of Physics (and ECE), Duke University, Durham, NC, JQI and QuICS and Department of Physics, University of Maryland, College Park, MD 20742; Duke Quantum Center and Department of Physics (and ECE), Duke University, Durham NC 2, University of Maryland, College Park, Joint Quantum Institute, University of Maryland, College Park, Joint Quantum Institute and Joint Center for Quantum Information and Computer Science, University of Maryland and NIST, College Park, MD 20742 USA, JQI, University of Maryland, College Park, JQI and QuICS and Department of Physics, University of Maryland, College Park, MD 20742; Duke Quantum Center and Department of Physics (and ECE), Duke University, Durham NC 27, Joint Quantum Institute, Joint Center for Quantum Information and Computer Science, and Physics Department, University of Maryland, College Park and National Institute of Sta