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Simple approach to approximate quantum error correction based on the transpose channel

Simple approach to approximate quantum error correction based on the transpose channel

We demonstrate that there exists a universal, near-optimal recovery map---the transpose channel---for approximate quantum error-correcting codes, where optimality is defined using the worst-case fidelity. Using the transpose channel, we provide an alternative interpretation of the standard quantum error correction (QEC) conditions and generalize them to a set of conditions for …