Phys. Rev. A 69, 050303(R) (2004) [4 pages]Entanglement-assisted alignment of reference frames using a dense covariant coding
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. © 2004 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.69.050303
DOI:
10.1103/PhysRevA.69.050303
PACS:
03.67.Hk, 03.65.Fd, 03.65.Ta
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