Classical simulators as quantum error mitigators via circuit cutting

Abstract:We introduce a circuit cutting-based error mitigation framework, simulated quantum error mitigation (SQEM), in which an auxiliary error-mitigation subcircuit is simulated classically while the main computation is executed on quantum hardware. For the class of circuits considered here, SQEM can be implemented with polynomial overhead by mitigating one qubit at a time and classically recombining the resulting output distributions. This qubit-wise strategy avoids the exponential overhead of cutting all protected qubits simultaneously, while providing a scalable approximation to joint mitigation. We demonstrate the method using Pauli check sandwiching within VQE hardware-efficient ansätze and obtain ground-state energies close to noiseless ansatz simulations, including chemical accuracy for LiH.

arXiv:2212.07335 [quant-ph]

(or arXiv:2212.07335v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2212.07335 Focus to learn more arXiv-issued DOI via DataCite

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