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arXiv:1807.06178

Bipartite and Tripartite Entanglement for Three Damped Driven Qubits

William Konyk, Ethan Stanifer, Habtom Woldekristos, James Clemens, Perry R. Rice

Published Jul 17, 2018• 0 citations
arXivHTMLPDF

Abstract

We investigate bipartite and tripartite entanglement in an open quantum system, specifically three qubits, all of which are damped, and one of which is driven. We adapt a systematic approach in calculating the entanglement of various bipartite splits usinga generalized concurrence as an indicator of entanglement. Our calculations are based on a direct detection scheme that is a particular unravelling of the density matrix. This system has a collective dipole-dipole energy shift that couples the atoms and the dissipation is via partially collective spontaneous emission described by the Lehmberg-Agarwal master equation.Our results are unravelling dependent, but apply to applications of entanglement based on direct detection. We also calculate the three-way tangle or residual entanglement for this system. We present calculations for a variety of driving and damping rates, and examine what decay rate is adequate for the system to be reduced to two qubits with a readout port. We also consider a specific model of three atoms located at particular positions in free space.

DOI
10.48550/arxiv.1807.06178

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’We investigate entanglement in an open quantum system, specifically in bipartite and tripartite systems of two dimensions for weak and strong fields based on numerical calculations. We address a systematic approach in calculating a tripartite entanglement using concurrence as a measure of entanglement based on a direct detection scheme (quantum jump method - with and without knowledge of which qubit jumps). We are also numerically calculating entanglement when one can and the ’Three-way tangle’ or ’Residual Entanglement’ approaches. We present significant differences of the concurrences of the various bipartite splits among the results of two ways of direct detection scheme and when a phase is introduced in the coupling term of the energy.
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