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Abstract: We investigate the simultaneous estimation of $n$ not necessarily identicalunitary channels using multi-partite entanglement. We examine whether it ispossible for the rate at which the mean square error decreases to be greaterthan that using the channels individually. For a reasonably general situation,in which there is no functional dependence between the channels, we show thatthis is not possible. We look at a case in which the channels are notnecessarily identical but depend on a common variable. In this case, the meansquare error decreases more rapidly using multi-partite entanglement.

Author: Caleb J O'Loan


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