Entanglement assisted alignment of reference frames using a dense covariant coding

Abstract

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.

4 pages, RevTeX, Version to appear in PRA

References in corpus (2)

• The entanglement cost under operations preserving the positivity of partial transpose
• Elliptic Rydberg states as direction indicators

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