Optimal encoding and decoding of a spin direction

E. Bagan; M. Baig; A. Brey; R. Muñoz-Tapia; R. Tarrach

doi:https://doi.org/10.1103/PhysRevA.62.052309

Optimal encoding and decoding of a spin direction

E. Bagan, M. Baig, A. Brey, R. Muñoz-Tapia, R. Tarrach

Department of Physics

Research output: Contribution to journal › Article › Research › peer-review

55 Citations (Scopus)

Abstract

An optimal encoding and decoding procedure of spin direction was presented. Maximum average fidelity for arbitrary N spins was calculated showed that it was directly related to the largest zeros of Legendre and Jacobi polynomials. It reaches unity quadratically in 1/N. The results were also analyzed in terms of encoding Hilbert space.

Original language	English
Article number	052309
Pages (from-to)	523091-5230911
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	63
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevA.62.052309
Publication status	Published - 1 Jan 2001

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https://ddd.uab.cat/record/115739

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title = "Optimal encoding and decoding of a spin direction",

abstract = "An optimal encoding and decoding procedure of spin direction was presented. Maximum average fidelity for arbitrary N spins was calculated showed that it was directly related to the largest zeros of Legendre and Jacobi polynomials. It reaches unity quadratically in 1/N. The results were also analyzed in terms of encoding Hilbert space.",

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AU - Brey, A.

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AB - An optimal encoding and decoding procedure of spin direction was presented. Maximum average fidelity for arbitrary N spins was calculated showed that it was directly related to the largest zeros of Legendre and Jacobi polynomials. It reaches unity quadratically in 1/N. The results were also analyzed in terms of encoding Hilbert space.

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Optimal encoding and decoding of a spin direction

Abstract

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