dorsal/arxiv
View SchemaDecoherence of two qubit systems: A random matrix description
| Authors | C. Pineda, T. Gorin, T. H. Seligman |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0702161 |
| URL | https://arxiv.org/abs/quant-ph/0702161 |
| DOI | 10.1088/1367-2630/9/4/106 |
| Journal | New J. Phys. 9, 106,(2007) |
Abstract
We study decoherence of two non-interacting qubits. The environment and its interaction with the qubits are modelled by random matrices. Decoherence, measured in terms of purity, is calculated in linear response approximation. Monte Carlo simulations illustrate the validity of this approximation and of its extension by exponentiation. The results up to this point are also used to study one qubit decoherence. Purity decay of entangled and product states are qualitatively similar though for the latter case it is slower. Numerical studies for a Bell pair as initial state reveal a one to one correspondence between its decoherence and its internal entanglement decay. For strong and intermediate coupling to the environment this correspondence agrees with the one for Werner states. In the limit of a large environment the evolution induces a unital channel in the two qubits, providing a partial explanation for the relation above.
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"abstract": "We study decoherence of two non-interacting qubits. The environment and its\ninteraction with the qubits are modelled by random matrices. Decoherence,\nmeasured in terms of purity, is calculated in linear response approximation.\nMonte Carlo simulations illustrate the validity of this approximation and of\nits extension by exponentiation. The results up to this point are also used to\nstudy one qubit decoherence. Purity decay of entangled and product states are\nqualitatively similar though for the latter case it is slower. Numerical\nstudies for a Bell pair as initial state reveal a one to one correspondence\nbetween its decoherence and its internal entanglement decay. For strong and\nintermediate coupling to the environment this correspondence agrees with the\none for Werner states. In the limit of a large environment the evolution\ninduces a unital channel in the two qubits, providing a partial explanation for\nthe relation above.",
"arxiv_id": "quant-ph/0702161",
"authors": [
"C. Pineda",
"T. Gorin",
"T. H. Seligman"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech"
],
"doi": "10.1088/1367-2630/9/4/106",
"journal_ref": "New J. Phys. 9, 106,(2007)",
"title": "Decoherence of two qubit systems: A random matrix description",
"url": "https://arxiv.org/abs/quant-ph/0702161"
},
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