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We study teleportation of qubits with imperfect Bell analysis on the sender's side. For the chosen family of Alice's measurements we find Bob's operations maximizing the overall fidelity of the teleportation protocol. In certain cases the optimum maps turn out to be nonunitary operations. This means that decoherence can sometimes enhance the performance of quantum teleportation protocols.
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Jaroslav Rehacek, Zdenek Hradil, Jaromir Fiurasek, C. Brukner, "Optimum teleportation with imperfect Bell-state measurements," Proc. SPIE 4888, First International Workshop on Classical and Quantum Interference, (22 July 2002); https://doi.org/10.1117/12.475881