Average entanglement dynamics in open two-qubit systems with continuous monitoring
arXiv:1404.1959 · doi:10.1103/PhysRevA.90.012338
Abstract
We present a comprehensive implementation of the quantum trajectory theory for the description of the entanglement dynamics in a Markovian open quantum system made of two qubits. We introduce the average concurrence to characterize the entanglement in the system and derive a deterministic evolution equation for it that depends on the ways information is read from the environment. This builded in flexibility of the method is used to address two actual issues in quantum information: entanglement protection and entanglement estimation. We identify general physical situations in which an entanglement protection protocol based on local monitoring of the environment can be implemented. Additionally, we methodically find unravelings of the system dynamics providing analytical tight bounds for the unmonitored entanglement in the system at all times. We conclude by showing the independence of the method on the choice of entanglement measure.
15 pages, 4 figures
References in corpus (35)
- Quantum entanglement
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Quantum teleportation using active feed-forward between two Canary Islands
- Quantum Open System Theory: Bipartite Aspects
- Induced measures in the space of mixed quantum states
- Fidelity and Concurrence of conjugated states
- Decoherence and multipartite entanglement
- Dynamics of quantum entanglement
- Stability of macroscopic entanglement under decoherence
- Normal forms and entanglement measures for multipartite quantum states
- Disentanglement and Decoherence by Open System Dynamics
- Quantum Trajectories and Quantum Measurement Theory
- Direct measurement of finite-time disentanglement induced by a reservoir
- A Factorization Law for Entanglement Decay
- Complete parameterization, and invariance, of diffusive quantum trajectories for Markovian open systems
- Entanglement dynamics in superconducting qubits affected by local bistable impurities
- Entanglement within the Quantum Trajectory Description of Open Quantum Systems
- The Geometry of Entanglement Sudden Death
- Evolution and Symmetry of Multipartite Entanglement
- Entanglement evolution in finite dimensions
- Entanglement dynamics in open two-qubit systems via diffusive quantum trajectories
- Equilibrium entanglement vanishes at finite temperature
- Inequivalence of pure state ensembles for open quantum systems: the preferred ensembles are those that are physically realizable
- Ignorance is bliss: General and robust cancellation of decoherence via no-knowledge quantum feedback
- Distant entanglement protected through artificially increased local temperature
- Inverse Engineering Control in Open Quantum Systems
- Non-Perturbative Quantum Dynamical Decoupling
- Continuous stochastic Schrodinger equations and localization
- Physically Realizable Entanglement by Local Continuous Measurements
- Average Entanglement for Markovian Quantum Trajectories
- Quantum computing with incoherent resources and quantum jumps
- Multipartite Entanglement Evolution Under Separable Operations
- Dynamics of genuine multipartite correlations in open quantum systems
- Equation of motion for entanglement
- A statistical portrait of the entanglement decay of two-qubit memories