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SU(2) Decomposition for the Quantum Information Dynamics in 2d-Partite Two-Level Quantum Systems
Version 1
: Received: 1 June 2018 / Approved: 4 June 2018 / Online: 4 June 2018 (11:03:21 CEST)
A peer-reviewed article of this Preprint also exists.
Delgado, F. SU(2) Decomposition for the Quantum Information Dynamics in 2d-Partite Two-Level Quantum Systems. Entropy 2018, 20, 610. Delgado, F. SU(2) Decomposition for the Quantum Information Dynamics in 2d-Partite Two-Level Quantum Systems. Entropy 2018, 20, 610.
Abstract
Quantum Computation, in the gate array version, uses logical gates adopting convenient forms for computational algorithms based on those of classical computation. There, two-level quantum systems are the basic elements connecting the binary nature of classical computation with the settlement of quantum processing. Despite, their design depends on specific quantum systems and physical interactions involved, exacerbating the dynamics analysis. Predictable and controllable manipulation should be addressed to control the quantum states, but resources are restricted to limitations imposed by the physical settlement. This work presents a formalism to decompose the quantum information dynamics in SU(22d) for 2d-partite two-level systems into 22d-1 SU(2) quantum subsystems. Decomposition lets to set control procedures, to generate large entangled states and to design specialized dedicated quantum gates. There, easy and traditional operations proposed by quantum computation are recovered for more complex and large systems. Alternating the parameters of local and non-local interactions, the procedure states a universal exchange semantics on the generalized Bell states basis. It could be understood as a momentary splitting of the 2d information channels into 22d-1 pairs of 2 level quantum information subsystems and a settlement of the quantum information manipulation free of the imposed restrictions by the underlying physical system.
Keywords
quantum information; quantum dynamics; entanglement
Subject
Physical Sciences, Quantum Science and Technology
Copyright: 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.
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