Logical Error Rates for a [[4,2,2]]-Encoded Variational Quantum Eigensolver Ansatz
arxiv(2024)
摘要
Application benchmarks that run on noisy, intermediate-scale quantum (NISQ)
computing devices require techniques for mitigating errors to improve accuracy
and precision. Quantum error detection codes offer a framework by which to
encode quantum computations and identify when errors occur. However, the
subsequent logical error rate depends on the encoded application circuit as
well as the underlying noise. Here, we quantify how the [[4,2,2]] quantum error
detection code improves the logical error rate, accuracy, and precision of an
encoded variational quantum eigensolver (VQE) application. We benchmark the
performance of the encoded VQE for estimating the energy of the hydrogen
molecule with a chemical accuracy of 1.6 mHa while managing the trade-off
between probability of success of various post-selection methods. Using
numerical simulation of the noisy mixed state preparation, we find that the
most aggressive post-selection strategies improve the accuracy and precision of
the encoded estimates even at the cost of increasing loss of samples.
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