Decoherence and Entanglement Dynamics in Fluctuating Fields

Abstract

We study pure phase damping of two qubits due to fluctuating fields. As frequently employed, decoherence is thus described in terms of random unitary (RU) dynamics, i.e., a convex mixture of unitary transformations. Based on a separation of the dynamics into an average Hamiltonian and a noise channel, we are able to analytically determine the evolution of both entanglement and purity. This enables us to characterize the dynamics in a concurrence-purity (CP) diagram: we find that RU phase damping dynamics sets constraints on accessible regions in the CP plane. We show that initial state and dynamics contribute to final entanglement independently.

10 pages, 5 figures, added minor changes in order to match published version

References in corpus (5)

• A Factorization Law for Entanglement Decay
• Realization of Universal Ion Trap Quantum Computation with Decoherence Free Qubits
• Quantum Decoherence of Two Qubits
• Entanglement, purity and energy: Two qubits vs Two modes
• Decoherence of two qubit systems: A random matrix description

Cited by in corpus (16)

• Eternal non-Markovianity: from random unitary to Markov chain realisations
• Non-Markovianity of colored noisy channels
• Dynamics of interacting qubits coupled to a common bath: Non-Markovian quantum state diffusion approach
• Exact non-Markovian master equations for multiple qubit systems: quantum trajectory approach
• Decoherence and the Nature of System-Environment Correlations
• Characterization and measurement of qubit-environment entanglement generation during pure dephasing
• System-environment correlations and Non-Markovian dynamics
• System-environment correlations for dephasing two-qubit states coupled to thermal baths
• Local disclosure of quantum memory in non-Markovian dynamics
• Entanglement generation between a charge qubit and its bosonic environment during pure dephasing - dependence on environment size
• A measure of qubit environment entanglement for pure dephasing evolutions
• Transfer and teleportation of system-environment entanglement
• Qubit-environment entanglement outside of pure decoherence: hyperfine interaction
• Quantum energy current and quantum coherence of a spin chain in a non-Markovian environment
• Uhrig Dynamical Control of a Three-Level System Via Non-Markovian Quantum State Diffusion
• Geometric Characterization of True Quantum Decoherence