Entanglement-assisted alignment of reference frames using a dense covariant coding

TitleEntanglement-assisted alignment of reference frames using a dense covariant coding
Publication TypeJournal Article
Year of Publication2004
AuthorsBagan, E, Baig, M, Muñoz-Tapia, R
JournalPhysical Review A (Atomic, Molecular, and Optical Physics)
Date Published05/2004

We present a procedure inspired by dense coding, which enables a highly efficient transmission of information of a continuous nature. The procedure requires the sender and the recipient to share a maximally entangled state. We deal with the concrete problem of aligning reference frames or trihedra by means of a quantum system. We find the optimal covariant measurement and compute the corresponding average error, which has a remarkably simple close form. The connection of this procedure with that of estimating unitary transformations on qubits is briefly discussed.

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