articleAdvanced Quantum TechnologiesOct 14, 2019GREEN OA

Expressibility and Entangling Capability of Parameterized Quantum Circuits for Hybrid Quantum‐Classical Algorithms

SSSukin SimPDPeter D. JohnsonAAAlán Aspuru‐Guzik

Harvard University · Zapata (United States) · +3 more institutions

Indexed inarxivcrossref

Abstract

Abstract Parameterized quantum circuits (PQCs) play an essential role in the performance of many variational quantum algorithms. One challenge in implementing such algorithms is choosing an effective circuit that well represents the solution space while maintaining a low circuit depth and parameter count. To characterize and identify expressible, yet compact, circuits, several descriptors are proposed, including expressibility and entangling capability, that are statistically estimated from classical simulations. These descriptors are computed for different circuit structures, varying the qubit connectivity and selection of gates. From these simulations, circuit fragments that perform well with respect to the…

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773
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Authors

3
  • SS
    Sukin SimCorresponding

    Harvard University

  • PD
    Peter D. Johnson

    Zapata (United States)

  • AA
    Alán Aspuru‐GuzikCorresponding

    Canadian Institute for Advanced Research, University of Toronto, Vector Institute

Topics & keywords

Topics
Keywords
  • Quantum circuit
  • Parameterized complexity
  • Electronic circuit
  • Qubit
  • Quantum gate
  • Circuit design
  • Measure (data warehouse)
  • Quantum
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