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Modeling the decay of entanglement for electron spin qubits in quantum dots

F Bodoky1, O Gühne2,3 and M Blaauboer1

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We investigate the time evolution of entanglement under various models of decoherence: a general heuristic model based on local relaxation and dephasing times, and two microscopic models describing decoherence of electron spin qubits in quantum dots due to the hyperfine interaction with the nuclei. For each of the decoherence models, we investigate and compare how long the entanglement can be detected. We also introduce filtered witness operators, which extend the available detection time and investigate this detection time for various multipartite entangled states. By comparing the time required for detection with the time required for generation and manipulation of entanglement, we estimate for a range of different entangled states how many qubits can be entangled in a one-dimensional array of electron spin qubits.


PACS

03.65.Ud Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.)

03.65.Yz Decoherence; open systems; quantum statistical methods

03.67.Lx Quantum computation architectures and implementations

03.65.Db Functional analytical methods

03.65.Wj State reconstruction, quantum tomography

03.65.Ca Formalism

Subjects

Computational physics

Quantum information and quantum mechanics

Dates

Issue 39 (30 September 2009)

Received 21 April 2009, in final form 1 July 2009

Published 1 September 2009



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