Nonadiabatic geometric quantum computation with trapped ions

2002/04/30 by Xinqi Li, Xin-Qi Li, Li-Xiang Cen +5
Computer Science · Mathematics · Physics and Astronomy · #Adiabatic process #Algorithm #Computation #Computer science #Geometric phase #Ion #Mathematical analysis #Mathematics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum computer #Quantum mechanics #Quantum simulator #Scheme (mathematics) #Trapped ion quantum computer #quant-ph

paper · pdf · doi:10.1103/physreva.66.042320

published as Phys. Rev. A 66, 042320 (2002) · 4 pages, 1 figure

openalex publication_date 2002/10/23 · arxiv created 2003/02/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We propose a nonadiabatic scheme for geometric quantum computation with trapped ions. By making use of the Aharonov-Anandan phase, the proposed scheme not only preserves the globally geometric nature in quantum computation, but also provides the advantage of nonadiabaticity that overcomes the problem of slow evolution in the existing adiabatic schemes. Moreover, the present scheme requires only two atomic levels in each ion, making it an appealing candidate for quantum computation.

Citations

• Nonadiabatic detection of the geometric phase of the macroscopic quantum state with a symmetric SQUID
• Geometric quantum computation using nuclear magnetic resonance
• Highly coherent solid-state quantum bit from a pair of quantum dots
• Optical holonomic quantum computer
• Appearance of Gauge Structure in Simple Dynamical Systems
• Multiparticle Entanglement of Hot Trapped Ions
• Universal quantum computation with two-level trapped ions
• Quantal phase factors accompanying adiabatic changes
• Quantum computing
• Quantum Computation