Quantum correlations for anonymous metrology

A. J. Paige1, Benjamin Yadin2, and M. S. Kim1

1QOLS, Blackett Laboratory, Imperial College London, London SW7 2AZ, UK.
2Department of Atomic and Laser Physics, Clarendon Laboratory, University of Oxford

We introduce the task of anonymous metrology, in which a physical parameter of an object may be determined without revealing the object's location. Alice and Bob share a correlated quantum state, with which one of them probes the object. Upon receipt of the quantum state, Charlie is then able to estimate the parameter without knowing who possesses the object. We show that quantum correlations are resources for this task when Alice and Bob do not trust the devices in their labs. The anonymous metrology protocol moreover distinguishes different kinds of quantum correlations according to the level of desired security: discord is needed when the source of states is trustworthy, otherwise entanglement is necessary.

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