On the entanglement and engineering phase gates without dynamical phases for a two-qubit system with Dzyaloshinski-Moriya interaction in magnetic field

被引：0
作者：
M. Amniat-Talab
H. Rangani Jahromi
机构：
[1] Urmia University,Physics Department, Faculty of Sciences
来源：
Quantum Information Processing | 2013年 / 12卷
关键词：
Heisenberg model; DM interaction; Berry phase; Entanglement; Concurrence; Geometric phase gate;
D O I：
暂无
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学科分类号：
摘要：
We calculate Berry phases and entanglement of adiabatic states for a two spin-1/2 system described by the Heisenberg model with Dzyaloshinski-Moriya (DM) interaction; one of the spins is driven by a time-varing rotating magnetic field and the other is coupled with a static magnetic field. This static magnetic field can be used for controlling as well as vanishing the Berry phases and entanglement of the system state. Besides, we show that the Berry phase and entanglement are not always exact but useful to detect energy levels approach. Additionally, we find that a nontrivial two-spin unitary transformation, purely based on Berry phases, can be obtained by using two consecutive cycles with the opposite direction of the static magnetic field, opposite signs of the exchange constant as well as DM interaction, and a phase shift of the rotating magnetic field. This unitary transformation presents a two-qubit geometric phase gate.
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页码：1185 / 1199
页数：14
相关论文
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