Observing a purification phase transition with a trapped ion quantum computer

ORAL  · Invited

Abstract



Many-body open quantum systems balance internal dynamics against decoherence from interactions with an environment. Here, we explore this balance via random quantum circuits implemented on a trapped-ion quantum computer, where the system evolution is represented by unitary gates with interspersed projective measurements. As the measurement rate is varied, a purification phase transition is predicted to emerge at a critical point akin to a fault-tolerent threshold. We probe the "pure'' phase, where the system is rapidly projected to a deterministic state conditioned on the measurement outcomes, and the "mixed'' or "coding'' phase, where the initial state becomes partially encoded into a quantum error correcting codespace.  We find evidence of the two phases and show numerically that, with modest system scaling, critical properties of the transition emerge.

**This work is supported by the ARO through the IARPA LogiQ program, the NSF STAQ Program, the AFOSR MURIs on Dissipation Engineering in Open Quantum Systems and Quantum Measurement/Verification and Quantum Interactive Protocols, the ARO MURI on Modular Quantum Circuits, the DoE Quantum Systems Accelerator , the DoE ASCR Accelerated Research in Quantum Computing program (award No. DE-SC0020312).

Publication: arXiv:2106.05881

Presenters

  • Crystal Noel

    • Duke
    • Department of Electrical and Computer Engineering, Duke Quantum Center, Duke University; Joint Quantum Institute, Department of Physics, University of Maryland, College Park.
    • Joint Quantum Institute, University of Maryland, College Park; Duke University Department of Electrical and Computer Engineering, Duke Quantum Center
    • JQI/QuICS/UMD Physics, DQC/Duke ECE
    • JQI and QuICS and Department of Physics, University of Maryland, College Park; Duke Quantum Center and Department of ECE, Duke University

Authors

  • Crystal Noel

    • Duke
    • Department of Electrical and Computer Engineering, Duke Quantum Center, Duke University; Joint Quantum Institute, Department of Physics, University of Maryland, College Park.
    • Joint Quantum Institute, University of Maryland, College Park; Duke University Department of Electrical and Computer Engineering, Duke Quantum Center
    • JQI/QuICS/UMD Physics, DQC/Duke ECE
    • JQI and QuICS and Department of Physics, University of Maryland, College Park; Duke Quantum Center and Department of ECE, Duke University