Robustness of geometric phase under parametric noise
arXiv:0902.2629 · doi:10.1088/0031-8949/79/06/065012
Abstract
We study the robustness of geometric phase in the presence of parametric noise. For that purpose we consider a simple case study, namely a semiclassical particle which moves adiabatically along a closed loop in a static magnetic field acquiring the Dirac phase. Parametric noise comes from the interaction with a classical environment which adds a Brownian component to the path followed by the particle. After defining a gauge invariant Dirac phase, we discuss the first and second moments of the distribution of the Dirac phase angle coming from the noisy trajectory.
1 figure, 9 pages, comments welcome
References in corpus (13)
- Fault-tolerant quantum computation by anyons
- Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
- Good Quantum Error-Correcting Codes Exist
- Multiple Particle Interference and Quantum Error Correction
- Holonomic Quantum Computation
- Geometric quantum computation with NMR
- Geometric Manipulation of Trapped Ions for Quantum Computation
- Detection of Geometric Phases in Superconducting Nanocircuits
- Berry phase for a spin 1/2 in a classical fluctuating field
- Experimental demonstration of the stability of Berry's phase for a spin-1/2 particle
- Robustness of non-abelian holonomic quantum gates against parametric noise
- Robust gates for holonomic quantum computation
- Robustness against parametric noise of non ideal holonomic gates