Decoherence of geometric phase gates

2001/10/02 by Ahsan Nazir, A. Nazir, Timothy P. Spiller +3 · 3 citations
Computer Science · Physics and Astronomy · #Adiabatic process #Geometric phase #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum decoherence #Quantum entanglement #Quantum gate #Quantum mechanics #Qubit #quant-ph

paper · pdf · doi:10.1103/physreva.65.042303

published as Phys. Rev. A 65, 042303 (2002) · 4 pages, 3 figures

arxiv created 2001/10/02 · openalex publication_date 2002/03/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider the effects of certain forms of decoherence applied to both adiabatic and nonadiabatic geometric phase quantum gates. For a single qubit we illustrate path-dependent sensitivity to anisotropic noise and for two qubits we quantify the loss of entanglement as a function of decoherence.

Citations

• Geometric quantum computation using nuclear magnetic resonance
• Two-Bit Gates are Universal for Quantum Computation
• Entanglement of Formation of an Arbitrary State of Two Qubits
• Entanglement of a Pair of Quantum Bits
• Elementary gates for quantum computation
• Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer

Cited by

• Refocusing schemes for holonomic quantum computation in the presence of dissipation
• Berry and Pancharatnam topological phases of atomic and optical systems
• Coherent and collective quantum optical effects in mesoscopic systems