Error mitigation via error detection using Generalized Superfast Encodings

• URL: http://arxiv.org/abs/2309.11673v1
• Date: Wed, 20 Sep 2023 22:47:23 GMT
• Title: Error mitigation via error detection using Generalized Superfast Encodings
• Authors: Tobias Hagge and Nathan Wiebe
• Abstract summary: We use a Bravyi-Kitaev Superfast encoding to implement a quantum error detecting code within the fermionic encoding. We show that for the spinless Hubbard model with nearest-neighbor repulsion terms, one-qubit errors are detectable, and more complicated errors are detectable with high probability.
• Score: 0.6768558752130311
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We provide a new approach to error mitigation for quantum chemistry simulation that uses a Bravyi-Kitaev Superfast encoding to implement a quantum error detecting code within the fermionic encoding. Our construction has low-weight parity checks as well. We show that for the spinless Hubbard model with nearest-neighbor repulsion terms, one-qubit errors are detectable, and more complicated errors are detectable with high probability. While our error-detection requires additional quantum circuitry, we argue that there is a regime in which the beneficial effect of error-mitigation outweighs the deleterious effects of additional errors due to additional circuitry. We show that our scheme can be implemented under realistic qubit connectivity requirements.

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