Entanglement assisted alignment of reference frames using a dense covariant coding

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

2003-03-04

arxiv.org/abs/quant-ph/0303019v2

Phys. Rev. A 69, 050303 (2004)

Physics

Quantum Physics

4 pages, RevTeX, Version to appear in PRA

Scientific paper

10.1103/PhysRevA.69.050303

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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