Kavli Affiliate: Ke Wang
| First 5 Authors: Ke Wang, Xiantao Li, , ,
| Summary:
Quantum error mitigation (QEM), conceived as an error suppression paradigm
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 focused on Markovian noise. In this
paper, we propose 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 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 the spin-boson model further validate the
efficacy of our approach.
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