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arXiv · 1805.03987

Normalized non-redundant vector tomographic portraits of spin states

Ya. A. Korennoy
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Abstract

Non-redundant and normalized four-component vector tomographic portrait fully describing the states of spin 1/2 quantum particles was introduced. Dequantizer and quantizer for such portrait were found, and generalization to the case of spin (2^N-1)/2 was done (N is a natural number). It was shown that such a portrait is completely defined by a thriple of non-complanar vectors with the lengthes equal or less then unity. A clear geometric interpretation of the choice of parameters for finding normalized dequantizers and quantizers is presented and numerical examples of such dequantizers and quantizers for spin 1/2 are given.

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Ya. A. Korennoy. 2018-05-10. Normalized non-redundant vector tomographic portraits of spin states. https://arxiv.org/abs/1805.03987

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