Next Article in Journal
Multi-Fault Diagnosis of Gearbox Based on Improved Multipoint Optimal Minimum Entropy Deconvolution
Next Article in Special Issue
“The Heisenberg Method”: Geometry, Algebra, and Probability in Quantum Theory
Previous Article in Journal
Information Geometry of Randomized Quantum State Tomography
Previous Article in Special Issue
Developments in Quantum Probability and the Copenhagen Approach
Article Menu
Issue 8 (August) cover image

Export Article

Open AccessArticle
Entropy 2018, 20(8), 610; https://doi.org/10.3390/e20080610

SU(2) Decomposition for the Quantum Information Dynamics in 2d-Partite Two-Level Quantum Systems

Escuela de Ingeniería y Ciencias, Tecnológico de Monterrey, Atizapán 52926, Mexico
Current address: Departamento de Física y Matemáticas, Tecnológico de Monterrey, Campus Estado de México, Atizapán, Estado de México, Mexico.
Received: 1 June 2018 / Revised: 31 July 2018 / Accepted: 2 August 2018 / Published: 17 August 2018
(This article belongs to the Special Issue Quantum Probability and Randomness)
Full-Text   |   PDF [3102 KB, uploaded 17 August 2018]   |  

Abstract

The gate array version of quantum computation uses logical gates adopting convenient forms for computational algorithms based on the algorithms classical computation. Two-level quantum systems are the basic elements connecting the binary nature of classical computation with the settlement of quantum processing. Despite this, their design depends on specific quantum systems and the physical interactions involved, thus complicating the dynamics analysis. Predictable and controllable manipulation should be addressed in order to control the quantum states in terms of the physical control parameters. Resources are restricted to limitations imposed by the physical settlement. This work presents a formalism to decompose the quantum information dynamics in S U ( 2 2 d ) for 2 d -partite two-level systems into 2 2 d 1 S U ( 2 ) quantum subsystems. It generates an easier and more direct physical implementation of quantum processing developments for qubits. Easy and traditional operations proposed by quantum computation are recovered for larger and more complex systems. Alternating the parameters of local and non-local interactions, the procedure states a universal exchange semantics on the basis of generalized Bell states. Although the main procedure could still be settled on other interaction architectures by the proper selection of the basis as natural grammar, the procedure can be understood as a momentary splitting of the 2 d information channels into 2 2 d 1 pairs of 2 level quantum information subsystems. Additionally, it is a settlement of the quantum information manipulation that is free of the restrictions imposed by the underlying physical system. Thus, the motivation of decomposition is to set control procedures easily in order to generate large entangled states and to design specialized dedicated quantum gates. They are potential applications that properly bypass the general induced superposition generated by physical dynamics. View Full-Text
Keywords: quantum information; quantum dynamics; entanglement quantum information; quantum dynamics; entanglement
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Delgado, F. SU(2) Decomposition for the Quantum Information Dynamics in 2d-Partite Two-Level Quantum Systems. Entropy 2018, 20, 610.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top