Circuit connectivity boosts by quantum-classical-quantum interfaces

• URL: http://arxiv.org/abs/2203.04984v1
• Date: Wed, 9 Mar 2022 19:00:02 GMT
• Title: Circuit connectivity boosts by quantum-classical-quantum interfaces
• Authors: Roeland Wiersema, Leonardo Guerini, Juan Felipe Carrasquilla, Leandro Aolita
• Abstract summary: High-connectivity circuits are a major roadblock for current quantum hardware. We propose a hybrid classical-quantum algorithm to simulate such circuits without swap-gate ladders. We numerically show the efficacy of our method for a Bell-state circuit for two increasingly distant qubits.
• Score: 0.4194295877935867
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: High-connectivity circuits are a major roadblock for current quantum hardware. We propose a hybrid classical-quantum algorithm to simulate such circuits without swap-gate ladders. As main technical tool, we introduce quantum-classical-quantum interfaces. These replace an experimentally problematic gate (e.g. a long-range one) by single-qubit random measurements followed by state-preparations sampled according to a classical quasi-probability simulation of the noiseless gate. Each interface introduces a multiplicative statistical overhead which is remarkably independent of the on-chip qubit distance. Hence, by applying interfaces to the longest range gates in a target circuit, significant reductions in circuit depth and gate infidelity can be attained. We numerically show the efficacy of our method for a Bell-state circuit for two increasingly distant qubits and a variational ground-state solver for the transverse-field Ising model on a ring. Our findings provide a versatile toolbox for error-mitigation and circuit boosts tailored for noisy, intermediate-scale quantum computation.

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