Many-body quantum teleportation via operator spreading in the traversable wormhole protocol

ORAL

Abstract

By leveraging shared entanglement between a pair of qubits, one can teleport a quantum state from one particle to another. Recent advances have uncovered an intrinsically many-body generalization of quantum teleportation, with an elegant and surprising connection to gravity. In particular, the teleportation of quantum information relies on many-body dynamics, which originate from strongly-interacting systems that are holographically dual to gravity; from the gravitational perspective, such quantum teleportation can be understood as the transmission of information through a traversable wormhole. Here, we propose and analyze a new mechanism for many-body quantum teleportation -- dubbed peaked-size teleportation. Intriguingly, peaked-size teleportation utilizes precisely the same type of quantum circuit as traversable wormhole teleportation, yet has a completely distinct microscopic origin: it relies upon the spreading of local operators under generic thermalizing dynamics and not gravitational physics. We demonstrate the ubiquity of peaked-size teleportation, both analytically and numerically, across a diverse landscape of physical systems, including random unitary circuits, the Sachdev-Ye-Kitaev model (at high temperatures), one-dimensional spin chains and a bulk theory of gravity with stringy corrections. Our results pave the way towards using many-body quantum teleportation as a powerful experimental tool for: (i) characterizing the size distributions of operators in strongly-correlated systems and (ii) distinguishing between generic and intrinsically gravitational scrambling dynamics. To this end, we provide a detailed experimental blueprint for realizing many-body quantum teleportation in both trapped ions and Rydberg atom arrays; effects of decoherence and experimental imperfections are analyzed.

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Publication: https://arxiv.org/abs/2102.00010

Presenters

  • Thomas Schuster

    • University of California, Berkeley

Authors

  • Thomas Schuster

    • University of California, Berkeley

  • Bryce H Kobrin

    • University of California, Berkeley

  • Ping Gao

    • Massachusetts Institute of Technology

  • Iris Cong

    • Harvard University

  • Emil T Khabiboulline

    • Harvard University

  • Norbert M Linke

    • JQI and QuICS and Department of Physics, University of Maryland, College Park, MD 20742
    • University of Maryland, College Park
    • Joint Quantum Institute and Department of Physics, University of Maryland, College Park 20740, USA

  • Mikhail Lukin

    • Harvard University

  • 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

  • Beni Yoshida

    • Perimeter Institute for Theoretical Physics

  • Norman Y Yao

    • University of California, Berkeley
    • Department of Physics, University of California, Berkeley, CA 94720