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arXiv · 2102.12534

Entanglement Diagnostics for Efficient Quantum Computation

Joonho Kim·Yaron Oz
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Abstract

We consider information spreading measures in randomly initialized variational quantum circuits and introduce entanglement diagnostics for efficient variational quantum/classical computations. We establish a robust connection between entanglement measures and optimization accuracy by solving two eigensolver problems for Ising Hamiltonians with nearest-neighbor and long-range spin interactions. As the circuit depth affects the average entanglement of random circuit states, the entanglement diagnostics can identify a high-performing depth range for optimization tasks encoded in local Hamiltonians. We argue, based on an eigensolver problem for the Sachdev-Ye-Kitaev model, that entanglement alone is insufficient as a diagnostic to the approximation of volume-law entangled target states and that a large number of circuit parameters is needed for such an optimization task.

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Joonho Kim, Yaron Oz. 2021-07-17. Entanglement Diagnostics for Efficient Quantum Computation. https://doi.org/10.1088/1742-5468%2Fac7791

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