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• W2085103587 abstract "We present a class of numerical algorithms which adapt a quantum error correction scheme to a channel model. Given an encoding and a channel model, it was previously shown that the quantum operation that maximizes the average entanglement fidelity may be calculated by a semidefinite program (SDP), which is a convex optimization. While optimal, this recovery operation is computationally difficult for long codes. Furthermore, the optimal recovery operation has no structure beyond the completely positive trace-preserving constraint. We derive methods to generate structured channel-adapted error recovery operations. Specifically, each recovery operation begins with a projective error syndrome measurement. The algorithms to compute the structured recovery operations are more scalable than the SDP and yield recovery operations with an intuitive physical form. Using Lagrange duality, we derive performance bounds to certify near-optimality." @default.
• W2085103587 created "2016-06-24" @default.
• W2085103587 creator A5020744800 @default.
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• W2085103587 date "2008-01-17" @default.
• W2085103587 modified "2023-10-02" @default.
• W2085103587 title "Structured near-optimal channel-adapted quantum error correction" @default.
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• W2085103587 doi "https://doi.org/10.1103/physreva.77.012320" @default.
• W2085103587 hasPublicationYear "2008" @default.
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