Entanglement is not very useful for estimating multiple phases

Abstract

The problem of the estimation of multiple phases (or of commuting unitaries) is considered. This is a sub-model of the estimation of a completely unknown unitary operation where it has been shown in recent works that there are considerable improvements by using entangled input states and entangled measurements. Here it is shown that when estimating commuting unitaries, there is practically no advantage in using entangled input states or entangled measurements.

v2. New title, improved Fig.3, other minor changes, Accepted in PRA

References in corpus (5)

• A new approach to the Cramer-Rao type bound of the pure state model
• Optimal estimation of quantum dynamics
• Estimation of unitary quantum operations
• Exploiting quantum parallelism of entanglement for a complete experimental quantum characterization of a single qubit device
• Optimal estimation of multiple phases

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