Analytic solutions for quantum logic gates and modeling pulse errors in a quantum computer with a Heisenberg interaction

被引：4

作者：

Berman, GP

Kamenev, DI

Tsifrinovich, VI

机构：

[1] Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA

[2] Los Alamos Natl Lab, Ctr Nonlinear Studies, Los Alamos, NM 87545 USA

[3] Polytech Univ, IDS Dept, Brooklyn, NY 11201 USA

来源：

INTERNATIONAL JOURNAL OF QUANTUM INFORMATION | 2004年 / 2卷 / 02期

关键词：

logical qubits; exchange interaction;

D O I：

10.1142/S0219749904000237

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We analyze analytically and numerically quantum logic gates in a one-dimensional spin chain with Heisenberg interaction. Analytic solutions for basic one-qubit gates and swap gate are obtained for a quantum computer based on logical qubits. We calculated the errors caused by imperfect pulses which implement the quantum logic gates. It is numerically demonstrated that the probability error is proportional to epsilon(4), while the phase error is proportional to epsilon, where epsilon is the characteristic deviation from the perfect pulse duration.

引用

页码：171 / 182

页数：12