Mixed state non-Abelian holonomy for subsystems
arXiv:quant-ph/0404162 · doi:10.1103/PhysRevA.71.012110
Abstract
Non-Abelian holonomy in dynamical systems may arise in adiabatic transport of energetically degenerate sets of states. We examine such a holonomy structure for mixtures of energetically degenerate quantal states. We demonstrate that this structure has a natural interpretation in terms of the standard Wilczek-Zee holonomy associated with a certain class of Hamiltonians that couple the system to an ancilla. The mixed state holonomy is analysed for holonomic quantum computation using ion traps.
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- Noncyclic geometric changes of quantum states
- Coherent evolution via reservoir driven holonomy
- Nonadiabatic Holonomic Quantum Computation and Its Optimal Control
- Uhlmann and scalar Wilczek-Zee phases of degenerate quantum systems
- Application of Geometric Phase in Quantum Computations
- Geometric and holonomic quantum computation