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Retrodiction for quantum optical communications

Barnett, S M and Pegg, D T and Jeffers, J and Jedrkiewicz, O and Loudon, R (2000) Retrodiction for quantum optical communications. Physical Review A, 6202 (2). -. ISSN 1094-1622

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Given the result of a measurement on the output of a quantum optical communication channel, we show how to calculate a retrodictive state at the input. This state can be used by the receiver to determine the probability that any one of a given set of states was selected by the transmitter. We establish the remarkably simple result that retrodicting the prepared input signal for an attenuating (amplifying) channel corresponds to predicting the measured output signal for an amplifying (attenuating) channel.