Criterion on remote clocks synchronization within a Heisenberg scaling accuracy

Abstract

We propose a quantum method to judge whether two spatially separated clocks have been synchronized within a specific accuracy $\sigma$. If the measurement result of the experiment is obviously a nonzero value, the time difference between two clocks is smaller than $\sigma$; otherwise the difference is beyond $\sigma$. On sharing the 2$N$-qubit bipartite maximally entangled state in this scheme, the accuracy of judgement can be enhanced to $\sigma \sim \pi /(\omega (N+1))$. This criterion is consistent with Heisenberg scaling that can be considered as beating standard quantum limit, moreover, the unbiased estimation condition is not necessary.

5 pages, 1 figure

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• Operation triggered quantum clock synchronization
• Fisher information as general metrics of quantum synchronization
• Synchronize accelerated clock in a multipartite relativistic quantum system
• Quantum Metrology via Repeated Quantum Nondemolition Measurements in "Photon Box"