Concurrence in Disordered Systems

Abstract

Quantum systems exist at finite temperatures and are likely to be disordered to some level. Since applications of quantum information often rely on entanglement, we require methods which allow entanglement measures to be calculated in the presence of disorder at non-zero temperatures. We demonstrate how the disorder averaged concurrence can be calculated using thermal many-body perturbation theory. Our technique can also be applied to other entanglement measures. To illustrate, we find the disorder averaged concurrence of an XX spin chain. We find that concurrence can be increased by disorder in some parameter regimes.

14 pages, 5 figures

References in corpus (10)

• Quantum Communication through Spin Chain Dynamics: an Introductory Overview
• Perfect quantum state transfer with randomly coupled quantum chains
• Scaling of Entanglement Entropy in the Random Singlet Phase
• Increasing of entanglement entropy from pure to random quantum critical chains
• Entanglement entropy of the random spin-1 Heisenberg chain
• Quantum communication beyond the localization length in disordered spin chains
• Increasing entanglement through engineered disorder in the random Ising chain
• Enhancing the Detection of Natural Thermal Entanglement with Disorder
• Quantum channels in random spin chains
• The entanglement of the XY spin chain in a random magnetic field

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• Enhancing precision of atomic clocks by tuning disorder in accessories
• Response of entanglement to annealed vis-à-vis quenched disorder in quantum spin models
• Estimating phase transition of perturbed J1-J2 Heisenberg quantum chain in mixtures of ground and first excited states