On the <i>SU</i>(3) Parametrization of Qutrits

Bolukbasi, Ahmet Tuna; Dereli, Tekin

doi:10.1088/1742-6596/36/1/006

Cited by 11 publications

(2 citation statements)

References 4 publications

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“…The parametrization of edges is given by (3.38) and (3.39). We finally point out that the case of the diagonal Gell-Mann matrices was analyzed in the context of the properties of the states of qutrits in [16,17].…”

Section: (340)mentioning

confidence: 99%

Linear and integrable nonlinear evolution of the qutrit

Kowalski

2020

Quantum Inf Process

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The nonlinear generalization of the von Neumann equation preserving convexity of the state space is studied in the nontrivial case of the qutrit. This equation can be cast into the integrable classical Riccati system of nonlinear ordinary differential equations. The solutions of such system are investigated in both the linear case corresponding to the standard von Neumann equation and the nonlinear one referring to the generalization of this equation. The analyzed dynamics of the qutrit is rich and includes quasiperiodic motion, multiple equilibria and limit cycles.

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Section: (340)mentioning

confidence: 99%

Linear and integrable nonlinear evolution of the qutrit

Kowalski

2020

Quantum Inf Process

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“…A) qutrits in Quantum Information Theory [118,119,120]; these can also be interpreted in terms of quadrilaterals and qunits in terms of N -a-gons for N = n + 1. These are motivated by there being much more information storage in a system based on qunits rather than on qubits.…”

Section: Quantum Problem Of Time Facetsmentioning

confidence: 99%

Relational Quadrilateralland I: The Classical Theory

Anderson

Kneller

2014

Int. J. Mod. Phys. D

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Relational particle mechanics (RPM) models bolster the relational side of the absolute versus relational motion debate. They are additionally toy models for the dynamical formulation of General Relativity (GR) and its Problem of Time (PoT). They cover two aspects that the more commonly studied minisuperspace GR models do not: 1) by having a nontrivial notion of structure and thus of cosmological structure formation and of localized records. 2) They have linear as well as quadratic constraints, which is crucial as regards modelling many PoT facets.I previously solved relational triangleland classically, quantum mechanically and as regards a local resolution of the PoT. This rested on triangleland's shape space being S 2 with isometry group SO(3), allowing for use of widely-known Geometry, Methods and Atomic/Molecular Physics analogies. I now extend this work to the relational quadrilateral, which is far more typical of the general N -a-gon, represents a 'diagonal to nondiagonal Bianchi IX minisuperspace' step-up in complexity, and encodes further PoT subtleties. The shape space now being CP 2 with isometry group SU (3)/Z3, I now need to draw on Geometry, Shape Statistics and Particle Physics to solve this model; this is therefore an interdisciplinary paper. This Paper treats quadrilateralland at the classical level, and then Paper II provides a quantum treatment.

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Entanglement and its operational measure

2006

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An operational representation of concurrence measuring the entanglement of bipartite systems by means of averages of basic observables is discussed. We prove the validity of this representation for bipartite systems with any dimension of a single-party Hilbert space. We show that Wigner-Yanase "skew" information gives a reasonable estimation of the amount of entanglement (in ebits) carried by mixed two-qubit states. ©2006 Springer Science+Business Media, Inc

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On the SU(3) Parametrization of Qutrits

Abstract: Parametrization of qutrits on the complex projective plane CP 2 = SU (3)/U (2) is given explicitly. A set of constraints that characterize mixed state density matrices is found.

Cited by 11 publications

References 4 publications

Linear and integrable nonlinear evolution of the qutrit

Linear and integrable nonlinear evolution of the qutrit

Relational Quadrilateralland I: The Classical Theory

Entanglement and its operational measure

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