Open AccessSingle qubit and its universal logic gate made of an annular spin cluster with anisotropic Heisenberg-chain
Author(s) -
XiuPing Yan,
Shun-Jin Wang
Publication year - 2006
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.55.1591
Subject(s) - physics , qubit , spin (aerodynamics) , heisenberg model , algebraic number , magnetic field , cluster (spacecraft) , quantum mechanics , anisotropy , field (mathematics) , topology (electrical circuits) , mathematical physics , quantum , mathematics , computer science , mathematical analysis , pure mathematics , combinatorics , ferromagnetism , thermodynamics , programming language
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 Schrdinger 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.