Secure alignment of coordinate systems by using quantum correlation

Abstract

We show that two parties far apart can use shared entangled states and classical communication to align their coordinate systems with a very high fidelity. Moreover compared with previous methods proposed for such a task, i.e. sending parallel or anti-parallel pairs or groups of spin states, our method has the extra advantages of using single qubit measurements and also being secure, so that third parties do not extract any information about the aligned coordinate system established between the two parties. The latter property is important in many other quantum information protocols in which measurements inevitably play a significant role.

arXiv comment12 pages, 5 figures, Accepted for publication in Physical Review A

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• Entanglement-assisted communication in the absence of shared reference frame
• Quantum coherence between subspaces: State transformation, Cohering Power, $k$-coherence and other properties
• The power of a shared singlet state, compared with a shared reference frame
• GHZ states as near-optimal states for reference frame alignment
• Interconversion between block coherence and multipartite entanglement in many-body systems
• Encoding the information in relative parameters