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Expressibility and Entangling Capability of Parameterized Quantum Circuits for Hybrid Quantum‐Classical Algorithms by Sim, Sukin ;Johnson, Peter D. ;Aspuru‐Guzik, Alán is a Physics and Astronomy article available to read on EtoBox.

What is Expressibility and Entangling Capability of Parameterized Quantum Circuits for Hybrid Quantum‐Classical Algorithms about?

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 descriptors are identified. In particular, a substantial improvement in performance of two-qubit gates in a ring or all-to-all connected arrangement, compared to that of those on a line, is observed. Furthermore, improvement in both descriptors is achieved by sequences of controlled X-rotation gates compared to sequences of controlled Z-rotation gates. In addition, it is investigated how expressibility "saturates" with increased circuit depth, finding that the rate and saturated value

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

Author

Sim, Sukin ;Johnson, Peter D. ;Aspuru‐Guzik, Alán

Publisher

Wiley (John Wiley & Sons); Wiley (ISSN 2511-9044)

Published

2019

Language

EN

Field

Physics and Astronomy (Physical Sciences)