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

Chinese Physics Letters

Single Qubit and Its Universal Logic Gate Made of a Heisenberg Spin Cluster with Five Particles

Jun Tao, Shun-Jin Wang

Published Nov 29, 2006• 1 citation
Publisher

Abstract

We investigate an anisotropic Heisenberg spin cluster with five particles controlled by a time-dependent magnetic field. With the algebraic dynamical method, we obtain the exact analytical solution to the time dependent Schrödinger equation. Based on the analytical solution, it is shown that the system can be used as a universal single qubit logic gate controlled by the strength and frequency of the magnetic field, and the six special single qubit logic gates can be realized physically. We also discuss the anti-decoherence property of the qubit and its logic gates resulted from particle coupling effect and collectivity of the cluster.

DOI
10.1088/0256-307x/23/12/002

Related papers

Single qubit and its universal logic gate made of an annular spin cluster with anisotropic Heisenberg-chain

Xiao-Bo Yan, Shun-Jin Wang, (1)四川大学物理系,成都 610064; (2)四川大学物理系,成都 610064;兰州重离子加速器国家实验室,兰州 730000

We investigate an annular spin cluster made of three particles with anisotropic Heisenberg-chain controlled by a time-dependent magnetic field. The system has an SU(2) algebraic structure. Using algebraic dynamical method, we have obtained the exact analytical solution to the time dependent Schrdinger equation. Based on the analytical solution, it is shown that the system can be used as a universal single qubit logic gate controlled by the strength and frequency of the magnetic field, and consequently six special single qubit logic gates can be realized.

Acta Physica Sinica•Jan 1, 2006•11 citations

Realization of Universal Single Qubit Logic Gate

Shun-Jin Wang

The auathors investigate a particle with spin-1/2 moving in a time-dependent magnetic field. The system has an SU(2) algebraic structure. Using algebraic dynamical method, authors have obtained the rigorous analytical solution to the time dependent Schroedinger equation. Based on the analytical solution, authors have realize the universal single qubit logic gate controlled by the amplitude and frequency of magnetic field and the six special single qubit gates are realized as well.

Journal of Sichuan University•Jan 1, 2005•0 citations

Quantum logic gates for spin cluster qubits

Jian-Li Huo, Shun-Jin Wang

We study the low energy states of one-dimensional spin chain clusters consisting of three spin-1/2 Heisenberg particles. When applying an external magnetic field on the spin chain cluster, the ground state doublet will generate Zeeman splitting. As a two-level quantum system, the split ground state doublet can be defined as a new 'spin cluster qubit'. The cluster quibit is shown to be more robust with a smaller decoherence rate. We realize universal single-qubit gates with the algebraic dynamical method, by applying a time-dependent magnetic field on the spin cluster. We also investigate a two-qubit system made up of two such Heisenberg spin chain clusters which interact through a tunable Heisenberg coupling. In the two-qubit product basis, the controlled quantum phase gates can be generated by applying a magnetic field along the z-axis on the system of the two clusters. One can realize the controlled-NOT gate through a three-step time evolution by adjusting the corresponding physical parameters. Our scheme involves two kinds of dynamically distinct operations, which is much simpler and more feasible.

Journal of Physics B Atomic Molecular and Optical Physics•Jun 1, 2010•0 citations

Anisotropic Spin Cluster as a Qubit

Xiao-Bo Yan, Mingji Wang

We study an anisotropic spin cluster of 3 spin S = 1/2 particles with antiferromagnetic exchange interaction with non-uniform coupling constants. A time-dependent magnetic field is applied to control the time evolution of the cluster. It is well known that for an odd number of sites a spin cluster qubit can be defined in terms of the ground state doublet. The universal one-qubit logic gate can be constructed from the time evolution operator of the non-autonomous many-body system, and the six basic one-qubit gates can be realized by adjusting the applied time-dependent magnetic field.

Communications in Theoretical Physics•Jul 1, 2007•0 citations

Physical Realization of Quantum C-Not Gate

Jian-Li Huo, Shun-Jin Wang, Jun Tao

We investigate a Heisenberg spin cluster with two particles controlled by a time-dependent magnetic field. The system is controlled by tuning the amplitude, frequency, and interaction time of the three-step time-dependent magnetic field. Then we solve the time-dependent Schrödinger equation of the two-particle system, and obtain the time evolution operator. By the three-timestep interaction, the wavefunction evolves from the initial state to the final state, and the total evolution operator can be expressed as a product of the three evolution operators. By adjusting the physical parameters, the key two-qubit logic gate, the C-Not gate, can be realized physically.

Chinese Physics Letters•Mar 1, 2008•2 citations

Single Qubit and Its Universal Logic Gate Made of a Heisenberg Spin Cluster with Five Particles

陶军, Shun-Jin Wang

我们调查一有五个粒子的营养的海森堡旋转簇由一个时间依赖者磁场控制了的一种著名软件压缩工具。与代数学的动态方法，我们获得准确分析答案到时间依赖者 Schrodinger 方程。基于分析，系统能被用作通用单个讥讽，这被显示出它磁场的力量和频率控制的逻辑门，和六个专辑挑选讥讽它逻辑门能身体上被认识到。我们也讨论讥讽的 anti-decoherence 性质它和它的逻辑门簇源于联合效果的粒子并且一起。

Chinese Physics Letters•Jan 1, 2006•0 citations
We investigate an anisotropic Heisenberg spin cluster with five particles controlled by a time-dependent magnetic field. With the algebraic dynamical method, we obtain the exact analytical solution to the time dependent Schrödinger equation. Based on the analytical solution, it is shown that the system can be used as a universal single qubit logic gate controlled by the strength and frequency of the magnetic field, and the six special single qubit logic gates can be realized physically. We also discuss the anti-decoherence property of the qubit and its logic gates resulted from particle coupling effect and collectivity of the cluster.
We investigate an annular spin cluster made of three particles with anisotropic Heisenberg-chain controlled by a time-dependent magnetic field. The system has an SU(2) algebraic structure. Using algebraic dynamical method, we have obtained the exact analytical solution to the time dependent Schrdinger equation. Based on the analytical solution, it is shown that the system can be used as a universal single qubit logic gate controlled by the strength and frequency of the magnetic field, and consequently six special single qubit logic gates can be realized.
We study the low energy states of one-dimensional spin chain clusters consisting of three spin-1/2 Heisenberg particles. When applying an external magnetic field on the spin chain cluster, the ground state doublet will generate Zeeman splitting. As a two-level quantum system, the split ground state doublet can be defined as a new 'spin cluster qubit'. The cluster quibit is shown to be more robust with a smaller decoherence rate. We realize universal single-qubit gates with the algebraic dynamical method, by applying a time-dependent magnetic field on the spin cluster. We also investigate a two-qubit system made up of two such Heisenberg spin chain clusters which interact through a tunable Heisenberg coupling. In the two-qubit product basis, the controlled quantum phase gates can be generated by applying a magnetic field along the z-axis on the system of the two clusters. One can realize the controlled-NOT gate through a three-step time evolution by adjusting the corresponding physical parameters. Our scheme involves two kinds of dynamically distinct operations, which is much simpler and more feasible.
We study an anisotropic spin cluster of 3 spin S = 1/2 particles with antiferromagnetic exchange interaction with non-uniform coupling constants. A time-dependent magnetic field is applied to control the time evolution of the cluster. It is well known that for an odd number of sites a spin cluster qubit can be defined in terms of the ground state doublet. The universal one-qubit logic gate can be constructed from the time evolution operator of the non-autonomous many-body system, and the six basic one-qubit gates can be realized by adjusting the applied time-dependent magnetic field.
We investigate a Heisenberg spin cluster with two particles controlled by a time-dependent magnetic field. The system is controlled by tuning the amplitude, frequency, and interaction time of the three-step time-dependent magnetic field. Then we solve the time-dependent Schrödinger equation of the two-particle system, and obtain the time evolution operator. By the three-timestep interaction, the wavefunction evolves from the initial state to the final state, and the total evolution operator can be expressed as a product of the three evolution operators. By adjusting the physical parameters, the key two-qubit logic gate, the C-Not gate, can be realized physically.
我们调查一有五个粒子的营养的海森堡旋转簇由一个时间依赖者磁场控制了的一种著名软件压缩工具。与代数学的动态方法，我们获得准确分析答案到时间依赖者 Schrodinger 方程。基于分析，系统能被用作通用单个讥讽，这被显示出它磁场的力量和频率控制的逻辑门，和六个专辑挑选讥讽它逻辑门能身体上被认识到。我们也讨论讥讽的 anti-decoherence 性质它和它的逻辑门簇源于联合效果的粒子并且一起。