dorsal/arxiv
View SchemaEvolution of pairwise entanglement in a coupled n-body system
| Authors | Carlos Pineda, Thomas H. Seligman |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0503177 |
| URL | https://arxiv.org/abs/quant-ph/0503177 |
| DOI | 10.1103/PhysRevA.73.012305 |
| Journal | Phys. Rev. A 73(1), 012305, (2006) |
Abstract
We study the exact evolution of two non-interacting qubits, initially in a Bell state, in the presence of an environment, modeled by a kicked Ising spin chain. Dynamics of this model range from integrable to chaotic and we can handle numerics for a large number of qubits. We find that the entanglement (as measured by concurrence) of the two qubits has a close relation to the purity of the pair, and follows an analytic relation derived for Werner states. As a collateral result we find that an integrable environment causes quadratic decay of concurrence, while a chaotic environment causes linear decay.
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"abstract": "We study the exact evolution of two non-interacting qubits, initially in a\nBell state, in the presence of an environment, modeled by a kicked Ising spin\nchain. Dynamics of this model range from integrable to chaotic and we can\nhandle numerics for a large number of qubits. We find that the entanglement (as\nmeasured by concurrence) of the two qubits has a close relation to the purity\nof the pair, and follows an analytic relation derived for Werner states. As a\ncollateral result we find that an integrable environment causes quadratic decay\nof concurrence, while a chaotic environment causes linear decay.",
"arxiv_id": "quant-ph/0503177",
"authors": [
"Carlos Pineda",
"Thomas H. Seligman"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.73.012305",
"journal_ref": "Phys. Rev. A 73(1), 012305, (2006)",
"title": "Evolution of pairwise entanglement in a coupled n-body system",
"url": "https://arxiv.org/abs/quant-ph/0503177"
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