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Fundamental limits of quantum error mitigation
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The inevitable accumulation of errors in near-future quantum devices represents a key obstacle in delivering practical quantum advantages, motivating the development of various quantum error-mitigation methods. Here, we derive fundamental bounds concerning how error-mitigation algorithms can reduce the computation error as a function of their sampling overhead. Our bounds place universal performance limits on a general error-mitigation protocol class. We use them to show (1) that the sampling overhead that ensures a certain computational accuracy for mitigating local depolarizing noise in layered circuits scales exponentially with the circuit depth for general error-mitigation protocols and (2) the optimality of probabilistic error cancellation among a wide class of strategies in mitigating the local dephasing noise on an arbitrary number of qubits. Our results provide a means to identify when a given quantum error-mitigation strategy is optimal and when there is potential room for improvement.
Forward citations
Cited by 2 Pith papers
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Q3DE: A fault-tolerant quantum computer architecture for multi-bit burst errors by cosmic rays
Q3DE detects cosmic-ray-induced multi-bit burst errors from syndrome statistics alone and mitigates them through dynamic code-distance expansion and decoder rollback, cutting the exposed error period by about 1000 times.
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Effective Noise Mitigation via Quantum Circuit Learning in Quantum Simulation of Integrable Spin Chains
Quantum Circuit Learning trains shallow circuits on conserved charges of integrable spin chains to approximate noisy deep time-evolution more accurately than the original circuit.
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