NDLI: Open-system dynamics of the geometrical reperesentation for a qutrit

Content Provider	IEEE Xplore Digital Library
Author	Shuming Cheng Lijun Liu Li Li Zairong Xi
Copyright Year	2015
Description	Author affiliation: Centre for Quantum Comput. & Commun. Technol., Griffith Univ., Brisbane, QLD, Australia (Li Li) \|\| Key Lab. of Syst. & Control, Acad. of Math. & Syst. Sci., Beijing, China (Shuming Cheng; Lijun Liu; Zairong Xi)
Abstract	The qubit systems have been the central issue of quantum physics and quantum information processing, and various properties and applications concerning about qubits have been extensively discovered and verified experimentally. However, it is nontrivial to generalize the techniques and methods which effectively deal with the problems involving qubits system and is hard to verify their utility for higher dimensional system, for instance a qutrit. In this paper, we employ Gell-Mann basis to parameterize the density operator for three-level systems instead of using Pauli matrices to represent the qubit state. This generalization representation is used to exploit the rich geometric structures and abundant properties of qutrits. We give the sufficient and necessary conditions for a 3 × 3 Hermitian operator to be positive semidefinite and investigate the dynamical evolution of the geometrical picture for qutrits when exposed to the depolarizing effects induced by the environment.
Starting Page	8319
Ending Page	8324
File Size	249633
Page Count	6
File Format	PDF
ISBN	9789881563897
ISSN	19341768
DOI	10.1109/ChiCC.2015.7260960
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-07-28
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Technical Committee on Control Theory, Chinese Association of Automation
Subject Keyword	Presses Quantum computing Correlation Qutrit Dynamical evolution Information processing Depolarizing Gell-Mann basis Steady-state Mathematical model Physics
Content Type	Text
Resource Type	Article

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