Aligning reference frames with quantum states

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Abstract

We analyze the problem of sending, in a single transmission, the information required to specify an orthogonal trihedron or reference frame through a quantum channel made out of N elementary spins. We analytically obtain the optimal strategy, i.e., the best encoding state and the best measurement. For large N, we show that the average error goes to zero linearly in 1/N. Finally, we discuss the construction of finite optimal measurements. © 2001 The American Physical Society.
Original languageEnglish
Pages (from-to)257903-1-257903-4
JournalPhysical Review Letters
Volume87
Issue number25
DOIs
Publication statusPublished - 17 Dec 2001

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