Swap action in a solid-state controllable anisotropic Heisenberg model

2007/09/11 by Xiang Hao, Shiqun Zhu
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum and electron transport phenomena #quant-ph

paper · pdf · doi:10.1016/j.physleta.2007.09.004

published as Phys. Letts. A 372, 1119(2008) · 10 pages, 1 figure

openalex publication_date 2007/09/11 · arxiv created 2008/03/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Correct swap action can be realized via the control of the anisotropic Heisenberg interaction in solid-state quantum systems. The conditions of performing a swap are derived by the dynamics of arbitrary bipartite pure state. It is found that swap errors can be eliminated in the presence of symmetric anisotropy. In realistic quantum computers with unavoidable fluctuations, the gate fidelity of swap action is estimated. The scheme of quantum computation via the anisotropic Heisenberg interaction is implemented in a one dimensional quantum dots. The slanting and static magnetic field can be used to adjust the anisotropy.

Citations

• Quantum Manipulations of Small Josephson Junctions
• Complete Characterization of a Quantum Process: The Two-Bit Quantum Gate
• Measurement of Conditional Phase Shifts for Quantum Logic
• Cancellation of Spin-Orbit Effects in Quantum Gates Based on the Exchange Coupling in Quantum Dots
• Coherent Manipulation of Coupled Electron Spins in Semiconductor Quantum Dots
• Quantum computing