Resource-efficient Purification-based Quantum Error Mitigation

Abstract

To achieve the practical applications of near-term noisy quantum devices, low-cost ways to mitigate the noise damages in the devices are essential. In many applications, the noiseless state we want to prepare is often a pure state, which has recently inspired a range of purification-based quantum error mitigation proposals. The existing proposals either are limited to the suppressions of only the leading-order state preparation errors, or require a large number of long-range gates that might be challenging to implement depending on the qubit architecture. This article will provide an overview of the different purification-based quantum error mitigation schemes and propose a resource-efficient scheme that can correct state preparation errors up to any order while requiring only half of the qubits and less than half of the long-range gates compared to before.

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Cited by in corpus (6)

• The Variational Quantum Eigensolver: a review of methods and best practices
• Unifying and benchmarking state-of-the-art quantum error mitigation techniques
• Efficiently improving the performance of noisy quantum computers
• Unified multivariate trace estimation and quantum error mitigation
• A Practical Framework for Quantum Error Mitigation
• Estimating Coherent Contributions to the Error Profile Using Cycle Error Reconstruction