Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Physics Conference Series

Elementary SU(2) Operations to Manipulate the Entropy in Large 2-Level Quantum Systems

Francisco Delgado

Published Apr 1, 2020• 0 citations
Publisher

Abstract

Abstract SU(2) operations are recurrently required in quantum information because of their simplicity. The SU(2) formalism states that quantum systems can be controlled easily, step by step, by means of such operations if convenient vector bases (normally composed by entangled states) are used as grammar. In this work, we explore the entanglement gained under such operations for the classes GHZ and W, as two well known representatives of maximal entangled states for larger systems.

DOI
10.1088/1742-6596/1540/1/012016

Related papers

Assembling Large Entangled States in the Rényi-Ingarden-Urbanik Entropy Measure under the SU(2)-Dynamics Decomposition for Systems Built from Two-Level Subsystems

Francisco Delgado

Quantum Information is a discipline derived from Quantum Mechanics which uses quantum systems to exploit their states as information recipients.Normally, these states are conformed by two-level systems to reproduce the binary nature underlying the classical computation structure.Quantum evolution is then controlled to reproduce convenient information processing operations.Evolution could be hard to be controlled.SU(2) decomposition procedure lets to set a binary structure of processing when a convenient basis is selected to set the dynamics description.In this work, we exploit this procedure for a generic Hamiltonian in order to set the process to reduce arbitrary states into simplest ones.For this work, we use customary SU(2) operations on local and entangled states.These operations are described in the development.They involve 1, 2 and 4-local operations meaning the number of quantum parties involved, in agreement with the decomposition procedure scope.This task is complex in spite the difficulty to set a general way to manipulate the entanglement in the system.We are particularly interested on the application of stochastic procedures based in SU(2) decomposition operations to achieve that goal.In order to have a measure of the advancement of the last task, we use the Rényi-Ingarden-Urbanik entropy to describe the whole spectrum of entanglement in the large systems through the assembling/disassembling of the state.

Athens Journal of Sciences•Jun 1, 2019•1 citation

SU(2) structure of entangled states

A.S. Shumovsky

It is shown that the entangled states of a two- or multi-component system form a representation of the SU(2) phase states. The use of the dualism of base and entangled states is proposed for the quantum information transmission secured from eavesdropping.

Optical Fiber Communication Conference•Jan 1, 2001•0 citations

Generation of large quantum entangled states in 2d-partite systems using SU(2) decomposition

Francisco Delgado

This work presents a procedure to generate large entangled states on 2d-partite two level systems via factorization using SU(2) decomposition of its information dynamics under certain natural entangling interactions in ion traps and light-matter systems.

Quantum Information and Measurement (QIM)•Jan 1, 2017•2 citations

Entropy of entangled states and SU(1,1) and SU(2) symmetries

Ademir Eugenio de Santana, F. C. Khanna, M. Revzen

Based on a recent definition of a measure for entanglement [Plenio and Vedral, Contemp. Phys. 39, 431 (1998)], examples of maximum entangled states are presented. The construction of such states, which have symmetry SU(1,1) and SU(2), follows the guidance of thermofield dynamics formalism.

Physical Review A•Feb 26, 2002•16 citations

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

Francisco Delgado

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.

Entropy•Aug 17, 2018•4 citations

Entropy squeezing and entanglement of the interaction between SU(1,1) and SU(2) quantum systems

M. Sebawe Abdalla, M. M. A. Ahmed

Optics Communications•Jan 5, 2011•26 citations
Abstract SU(2) operations are recurrently required in quantum information because of their simplicity. The SU(2) formalism states that quantum systems can be controlled easily, step by step, by means of such operations if convenient vector bases (normally composed by entangled states) are used as grammar. In this work, we explore the entanglement gained under such operations for the classes GHZ and W, as two well known representatives of maximal entangled states for larger systems.
Quantum Information is a discipline derived from Quantum Mechanics which uses quantum systems to exploit their states as information recipients.Normally, these states are conformed by two-level systems to reproduce the binary nature underlying the classical computation structure.Quantum evolution is then controlled to reproduce convenient information processing operations.Evolution could be hard to be controlled.SU(2) decomposition procedure lets to set a binary structure of processing when a convenient basis is selected to set the dynamics description.In this work, we exploit this procedure for a generic Hamiltonian in order to set the process to reduce arbitrary states into simplest ones.For this work, we use customary SU(2) operations on local and entangled states.These operations are described in the development.They involve 1, 2 and 4-local operations meaning the number of quantum parties involved, in agreement with the decomposition procedure scope.This task is complex in spite the difficulty to set a general way to manipulate the entanglement in the system.We are particularly interested on the application of stochastic procedures based in SU(2) decomposition operations to achieve that goal.In order to have a measure of the advancement of the last task, we use the Rényi-Ingarden-Urbanik entropy to describe the whole spectrum of entanglement in the large systems through the assembling/disassembling of the state.
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.