Abstract
We investigate the time evolution of entanglement under various models of decoherence: ageneral heuristic model based on local relaxation and dephasing times, and two microscopicmodels describing decoherence of electron spin qubits in quantum dots due to thehyperfine interaction with the nuclei. For each of the decoherence models, weinvestigate and compare how long the entanglement can be detected. We alsointroduce filtered witness operators, which extend the available detection timeand investigate this detection time for various multipartite entangled states. Bycomparing the time required for detection with the time required for generation andmanipulation of entanglement, we estimate for a range of different entangled states howmany qubits can be entangled in a one-dimensional array of electron spin qubits.
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