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Transfer of spatial reference frame using singlet states and classical communication

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Abstract

A simple protocol is described for transferring spatial orientation from Alice to Bob (two spatially separated observers). The two observers are assumed to share quantum singlet states and classical communication. The protocol assumes that Alice and Bob have complete free will (measurement independence) and is based on maximizing the Shannon mutual information between Alice and Bob’s measurement outcomes. Repeated use of this protocol for each spatial axis of Alice allows transfer of a complete three-dimensional reference frame, up to inversion of each of the axes. The technological complexity of this protocol is similar to that needed for BB84 quantum key distribution and hence is much simpler to implement than recently proposed schemes for transmission of reference frames. A second protocol based on a Bayesian formalism is also discussed.

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Acknowledgments

I dedicate this paper, with fond memory, to my friend Dr. Howard Brandt. The author is grateful to Dr. Paul Ashley for suggesting this problem.

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Authors and Affiliations

  1. Charles M. Bowden Laboratory, Aviation and Missile Research, Development, and Engineering Center, US Army RDECOM, Redstone Arsenal, AL, 35898, USA

    Thomas B. Bahder

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  1. Thomas B. Bahder
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Correspondence to Thomas B. Bahder.

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Bahder, T.B. Transfer of spatial reference frame using singlet states and classical communication. Quantum Inf Process 15, 1069–1080 (2016). https://doi.org/10.1007/s11128-015-1212-9

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