Transmission of a Cartesian Frame by a Quantum System

Abstract

A single quantum system, such as a hydrogen atom, can transmit a Cartesian coordinate frame (three axes). For this it has to be prepared in a superposition of states belonging to different irreducible representations of the rotation group. The algorithm for decoding such a state is presented, and the fidelity of transmission is evaluated.

corrected figure, discussion of chirality and finite POVMs

References in corpus (2)

• Optimal encoding and decoding of a spin direction
• Communication of Spin Directions with Product States and Finite Measurements

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