Aligning Reference Frames Using Quantum States

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 discus the construction of finite optimal measurements.

4 pages

References in corpus (4)

• Transmission of a Cartesian Frame by a Quantum System
• Optimal encoding and decoding of a spin direction
• Communication of Spin Directions with Product States and Finite Measurements
• Minimal measurements of the gate fidelity of a qudit map

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