Programmable N-body interactions with trapped ion qubits

ORAL

Abstract

The qubit and gate model of a quantum computer employs a universal set of operations, such as single-qubit rotations and two-qubit controlled-NOT gates. While such few-qubit interactions are sufficient for general computation, and can be used to construct many-body entangled states, many-qubit interactions can dramatically simplify quantum circuit structures, speed up their execution, and extend the power of quantum computer systems facing decoherence. We describe a simple protocol for the single-step generation of N-body entangling interactions between trapped atomic ion qubits. We show that qubit state-dependent squeezing operations and displacement forces on the collective atomic motion can generate full N-body interactions. We show how this N-body gate operation allows the single-step implementation of a family of N-bit gate operations such as the powerful N-Toffoli gate, which flips a single qubit if and only if all other N-1 qubits are in a particular state.

*This work is supported by the ARO through the IARPA LogiQ program; the NSF STAQ program; the DOE Quantum Systems Accelerator; the AFOSR MURIs on Dissipation Engineering in Open Quantum Systems, Quantum Measurement/Verification, and Quantum Interactive Protocols; and the ARO MURI on Modular Quantum Circuits.

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Presenters

  • Or Katz

    • Weizmann Institute of Science
    • Department of Electrical and Computer Engineering, Department of Physics, Duke Quantum Center, Duke University.
    • Duke University
    • Duke Quantum Center and Department of Physics, Duke University
    • Duke Quantum Center and Department of Electrical and Computer Engineering, Duke University, Durham, NC

Authors

  • Or Katz

    • Weizmann Institute of Science
    • Department of Electrical and Computer Engineering, Department of Physics, Duke Quantum Center, Duke University.
    • Duke University
    • Duke Quantum Center and Department of Physics, Duke University
    • Duke Quantum Center and Department of Electrical and Computer Engineering, Duke University, Durham, NC

  • Lei Feng

    • Duke Quantum Center and Department of Electrical and Computer Engineering, Duke University, Durham, NC

  • Andrew Risinger

    • JQI and Departments of ECE and Physics, University of Maryland, College Park, MD 20742

  • Christopher Monroe

    • Department of Electrical and Computer Engineering and Physics, Duke Quantum Center, Duke University; Joint Quantum Institute, Department of Physics, University of Maryland, College Park; IonQ Inc.
    • Duke University
    • JQI, QuIcs, Department of Physics, University of Maryland, IonQ Inc, College Park MD; DQC, Dept of Physics, Dept. of ECE, Duke University, Durham, NC
    • Electrical and Computer Engineering Department, Duke Quantum Center, Duke University; Joint Quantum Institute, University of Maryland
    • Duke Quantum Center and Department of Electrical and Computer Engineering (and Physics), Duke University, Durham, NC; IonQ, Inc., College Park, MD 20740

  • Marko Cetina

    • Joint Quantum Institute, Department of Physics, University of Maryland, College Park; Department of Physics, Duke Quantum Center, Duke University.
    • Duke University
    • 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 Physics, Duke University
    • Duke Quantum Center and Department of Physics, Duke University, Durham, NC