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- W4368755445 abstract "To perform reliable quantum computation, quantum error correction is indispensable. In certain cases, continuous covariance symmetry of the physical system can make exact error correction impossible. In this work, we study the approximate error correction and covariance symmetry from the information-theoretic perspective. For general encoding and noise channels, we define a quantity named infidelity to characterize the performance of the approximate quantum error correction and quantify the noncovariance of an encoding channel from the asymmetry measure of the corresponding Choi state. Particularly, when the encoding channel is isometric, we derive a trade-off relation between infidelity and noncovariance. Furthermore, we calculate the average infidelity and noncovariance measure for a type of random code." @default.
- W4368755445 created "2023-05-05" @default.
- W4368755445 creator A5039060809 @default.
- W4368755445 date "2023-05-03" @default.
- W4368755445 modified "2023-09-30" @default.
- W4368755445 title "Approximate quantum error correction, covariance symmetry and their relation" @default.
- W4368755445 doi "https://doi.org/10.48550/arxiv.2305.02162" @default.
- W4368755445 hasPublicationYear "2023" @default.
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