Evolution of entanglement of two qubits interacting through local and collective environments

  • Authors:

  • M. Merkli;G. P. Berman;F. Borgonovi;K. Gebresellasie

  • Affiliations:

  • Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Newfoundland, Canada;Los Alamos National Laboratory, Los Alamos, NM;Dipartimento di Matematica e Fisica, Università Cattolica, Brescia, Italy and I.N.F.N., Pavia, Italy;Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Newfoundland, Canada

  • Venue:
  • Quantum Information & Computation
  • Year:
  • 2011

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Abstract

We analyze the dynamics of entanglement between two qubits which interact through collective and local environments. Our approach is based on a resonance theory which assumes a small interaction between qubits and environments and which gives rigorous perturbation theory results, valid for all times. We obtain expressions for (i) characteristic time-scales for decoherence, relaxation, disentanglement, and for (ii) the evolution of observables, valid uniformly in time t ≥ 0. We introduce a classification of decoherence times based on clustering of the reduced density matrix elements, persisting on all time-scales. We examine characteristic dynamical properties such as creation, death and revival of entanglement. We discuss possible applications of our results for superconducting quantum computation and quantum measurement technologies.