Enhancement of Geometric Phase by Frustration of Decoherence: A Parrondo like Effect
arXiv:1208.5563 · doi:10.1103/PhysRevA.87.042119
Abstract
Geometric phase plays an important role in evolution of pure or mixed quantum states. However, when a system undergoes decoherence the development of geometric phase may be inhibited. Here, we show that when a quantum system interacts with two competing environments there can be enhancement of geometric phase. This effect is akin to Parrondo like effect on the geometric phase which results from quantum frustration of decoherence. Our result suggests that the mechanism of two competing decoherence can be useful in fault-tolerant holonomic quantum computation.
5 pages, 3 figures, Published version
References in corpus (15)
- Fast and robust two-qubit gates for scalable ion trap quantum computing
- The squeezed generalized amplitude damping channel
- Geometric phase with nonunitary evolution in presence of a quantum critical bath
- Geometric Phase of a qubit interacting with a squeezed-thermal bath
- Frustration of Decoherence in Open Quantum Systems
- Hamiltonian Formulation of Quantum Error Correction and Correlated Noise: The Effects Of Syndrome Extraction in the Long Time Limit
- Dissipative quantum oscillator with two competing heat baths
- Use of non-adiabatic geometric phase for quantum computing by nuclear magnetic resonance
- Quasiclassical frustration
- Entanglement dynamics via geometric phases in quantum spin chains
- Reentrant enhancement of quantum fluctuations for symmetric environmental coupling
- Quantum frustration of dissipation by a spin bath
- Functional integral treatment of some quantum nondemolition systems
- The Nonlocal Pancharatnam Phase in Two-Photon Interferometry
- Geometric Phase: a Diagnostic Tool for Entanglement