Driving Quantum System into Decoherence-free Subspaces by Lyapunov Control
arXiv:0908.1048 · doi:10.1103/PhysRevA.80.052316
Abstract
We present a scheme to drive a finite-dimensional quantum system into the decoherence-free subspaces(DFS) by Lyapunov control. Control fields are established by Lyapunov function. This proposal works well for both closed and open quantum systems, with replacing the DFS by desired subspaces for closed systems. An example which consists of a four-level system with three degenerate states driven by three lasers is presented to gain further insight of the scheme, numerical simulations for the dynamics of the system are performed and the results are good.
5 pages, 5 figures
References in corpus (10)
- Stabilising entanglement by quantum jump-based feedback
- A Magnetic Resonance Realization of Decoherence-Free Quantum Computation
- Theory of Initialization-Free Decoherence-Free Subspaces and Subsystems
- Criteria for dynamically stable decoherence-free subspaces and incoherently generated coherences
- Experimental Fault-Tolerant Quantum Cryptography in a Decoherence-Free Subspace
- Feedback Control of Non-linear Quantum Systems: a Rule of Thumb
- Locally Optimal Control of Quantum Systems with Strong Feedback
- Indirect control with quantum accessor (I): coherent control of multi-level system via qubit chain
- Effect of feedback on the control of a two-level dissipative quantum system
- Feedback control on geometric phase in dissipative two-level systems
Cited by in corpus (25)
- Controlling open quantum systems: Tools, achievements, and limitations
- Rapid Lyapunov control of finite-dimensional quantum systems
- Lyapunov-based quantum synchronization in designed optomechanical systems
- Lyapunov Control on Quantum Open System in Decoherence-free Subspaces
- Fast and high-fidelity generation of steady-state entanglement using pulse modulation and parametric amplification
- Feedback Control of Rabi Oscillations in Circuit QED
- Accelerated and noise-resistant generation of a high-fidelity steady-state entanglement with Rydberg atoms
- Quantum synchronization of two mechanical oscillators in coupled optomechanical systems with Kerr nonlinearity
- Hamiltonian Control of Quantum Dynamical Semigroups: Stabilization and Convergence Speed
- Robust state transfer with high fidelity in spin-1/2 chains by Lyapunov control
- Coherent control in quantum open systems: An approach for accelerating dissipation-based quantum state generation
- Adiabatic evolution under quantum control
- Ultrafast Manipulation of a Double Quantum Dot via Lyapunov Control Method
- Effects of uncertainties and errors on Lyapunov control
- Driving many distant atoms into high-fidelity steady state entanglement via Lyapunov control
- Dissipative entanglement preparation via Rydberg antiblockade and Lyapunov control
- Preparation of topological modes by Lyapunov control
- The influence of localization transition on dynamical properties for an extended Aubry-André-Harper model
- Entangled states of two quantum dots mediated by Majorana fermions
- Edge state preparation in one dimensional lattice by quantum Lyapunov control
- Dynamics of a driven open double two-level system and its entanglement generation
- Flexible and experimentally feasible shortcut to quantum Zeno dynamic passage
- Preparation of edge states by shaking boundaries
- One-step preparation of 3D Bell and 3D GHZ states with Rydberg atoms
- Control-Induced Decoherence-Free Manifolds