Potential errors in a scheme of universal quantum gates in Kane’s model

2005/09/30 by Yukihiro Ota, Shuji Mikami, Ichiro Ohba
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum and electron transport phenomena #quant-ph

paper · pdf · doi:10.1103/physreva.73.032321

published as Phys. Rev. A 73, 032321 (2006) · 11 pages, 3 figures; improved with typos corrected; Accepted for publication in Phys. Rev. A

arxiv created 2006/02/08 · openalex publication_date 2006/03/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We reinvestigate a plausible proposal for universal quantum gates in Kane's model, in which the authors assumed that electron spin is always downward under a background magnetic field and the value of the controlling parameters is varied instantaneously. We demonstrate that a considerable error appears, for example, in the X rotation. As a result, the controlled operations do not work. This failure is caused by improper choice of the computational bases; actually, the electron spin is not always downward over time during quantum operations.

Citations

• Information and computation: Classical and quantum aspects
• Global control and fast solid-state donor electron spin quantum computing
• Single-shot measurement of the Josephson charge qubit
• Single-shot read-out of an individual electron spin in a quantum dot