Kavli Affiliate: Ke Wang
| First 5 Authors: Ke Wang, Xiantao Li, , ,
| Summary:
Quantum error mitigation(QEM), an error suppression strategy without the need
for additional ancilla qubits for noisy intermediate-scale quantum~(NISQ)
devices, presents a promising avenue for realizing quantum speedups of quantum
computing algorithms on current quantum devices. However, prior investigations
have predominantly been focused on Markovian noise. In this paper, we propose a
non-Markovian Noise Mitigation(NMNM) method by extending the probabilistic
error cancellation (PEC) method in the QEM framework to treat non-Markovian
noise. We present the derivation of a time-local quantum master equation where
the decoherence coefficients are directly obtained from bath correlation
functions(BCFs), key properties of a non-Markovian environment that will make
the error mitigation algorithms environment-aware. We further establish a
direct connection between the overall approximation error and sampling overhead
of QEM and the spectral property of the environment. Numerical simulations
performed on a spin-boson model further validate the efficacy of our approach.
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