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Virtual distillation is a technique that aims to mitigate errors in noisyquantum computers. It works by preparing multiple copies of a noisy quantumstate, bridging them through a circuit, and conducting measurements. As thenumber of copies increases, this process allows for the estimation of theexpectation value with respect to a state that approaches the ideal pure staterapidly. However, virtual distillation faces a challenge in realisticscenarios: preparing multiple copies of a quantum state and bridging themthrough a circuit in a noisy quantum computer will significantly increase thecircuit size and introduce excessive noise, which will degrade the performanceof virtual distillation. To overcome this challenge, we propose an errormitigation strategy that uses circuit-cutting technology to cut the entirecircuit into fragments. With this approach, the fragments responsible forgenerating the noisy quantum state can be executed on a noisy quantum device,while the remaining fragments are efficiently simulated on a noiselessclassical simulator. By running each fragment circuit separately on quantum andclassical devices and recombining their results, we can reduce the noiseaccumulation and enhance the effectiveness of the virtual distillationtechnique. Our strategy has good scalability in terms of both runtime andcomputational resources. We demonstrate our strategy's effectiveness throughnoisy simulation and experiments on a real quantum device.

Enhancing Virtual Distillation with Circuit Cutting for Quantum Error Mitigation