Time-dependent Decoherence-Free Subspace

Abstract

With time-dependent Lindblad operators, an open system may have a time-dependent decoherence-free subspace (t-DFS). In this paper, we define the t-DFS and present a necessary and sufficient condition for the t-DFS. Two examples are presented to illustrate the t-DFS, showing that this t-DFS is not trivial, when the dimension of the t-DFS varies.

arXiv comment6 pages, 4 figures

References in corpus (22)

• Decoherence Free Subspaces for Quantum Computation
• Dynamical Decoupling of Open Quantum Systems
• Noiseless Quantum Codes
• Entanglement generated by dissipation and steady state entanglement of two macroscopic objects
• Optical combs with a crystalline whispering gallery mode resonator
• Using Parity Kicks for Decoherence Control
• Experimental application of decoherence-free subspaces in a quantum-computing algorithm
• Dissipatively driven entanglement of two macroscopic atomic ensembles
• Unconditional two-mode squeezing of separated atomic ensembles
• Control of Decoherence and Relaxation by Frequency Modulation of Heat Bath
• A Magnetic Resonance Realization of Decoherence-Free Quantum Computation
• Implementation of Universal Control on a Decoherence-Free Qubit
• Theory of Initialization-Free Decoherence-Free Subspaces and Subsystems
• Mimicking a Squeezed Bath Interaction: Quantum Reservoir Engineering with Atoms
• Criteria for dynamically stable decoherence-free subspaces and incoherently generated coherences
• Nonadiabatic coherent evolution of two-level systems under spontaneous decay
• Geometric phase induced by a cyclically evolving squeezed vacuum reservoir
• Coherent evolution via reservoir driven holonomy
• Implementation of holonomic quantum computation through engineering and manipulating environment
• Robust entanglement generation by reservoir engineering
• Observable geometric phase induced by a cyclically evolving dissipative process
• Decoherence-free evolution of time-dependent superposition states of two-level systems and thermal effects

Cited by in corpus (8)

• Non-stationary coherent quantum many-body dynamics through dissipation
• Holonomic quantum control with continuous variable systems
• Electroencephalographic field influence on calcium momentum waves
• Adiabatic Decoherence-Free Subspaces and its Shortcuts
• The Dynamical Invariant of Open Quantum System
• Engineering of Quantum State by Time-Dependent Decoherence-Free Subspaces
• Dark-state photonic entanglement filters
• A proposal of noise suppression for quantum annealing