Quantum phases of a qutrit

2003/12/15 by A. B. Klimov, L. L. Sánchez-Soto, L. L. Sanchez-Soto +4 · 1 citation
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph

paper · pdf · doi:10.1088/0305-4470/37/13/012

published as J. Phys. A 37, 4097--4106 (2004) · 6 pages

arxiv created 2003/12/15 · openalex publication_date 2004/03/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider various approaches to treat the phases of a qutrit. Although it is possible to represent qutrits in a convenient geometrical manner by resorting to a generalization of the Poincare sphere, we argue that the appropriate way of dealing with this problem is through phase operators associated with the algebra su(3). The rather unusual properties of these phases are caused by the small dimension of the system and are explored in detail. We also examine the positive operator-valued measures that can describe the qutrit phase properties.

Citations

• Phase states for a three-level atom interacting with quantum fields
• Information and computation: Classical and quantum aspects
• Lie Groups, Lie Algebras, and Some of Their Applications
• Quantum non-locality in two three-level systems
• Description of entanglement in terms of quantum phase

Cited by

• Two-qutrit entanglement witnesses and Gell-Mann matrices