dorsal/arxiv
View SchemaDecoherence of two maximally entangled qubits in a lossy nonlinear cavity
| Authors | Adam Miranowicz |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0402025 |
| URL | https://arxiv.org/abs/quant-ph/0402025 |
| DOI | 10.1088/0305-4470/37/32/006 |
| Journal | J. Phys. A 37, 7909-7922 (2004) |
Abstract
Decoherence effect on quantum entanglement of two optical qubits in a lossy cavity interacting with a nonlinear medium (Kerr nonlinearity) is analyzed. The qubits are assumed to be initially in the maximally entangled states (Bell or Bell-like states) or the maximally entangled mixed states, on the example of Werner and Werner-like states. Two kinds of measures of the entanglement are considered: the concurrence to describe a decay of the entanglement of formation of the qubits, and the negativity to determine a decay of the entanglement cost under positive-partial-transpose-preserving operations. It is observed that the Kerr nonlinearity, in the discussed decoherence model, does not affect the entanglement of the qubits initially in the Bell or Werner states, although the evolution of the qubits can depend on this nonlinearity explicitly. However, it is shown that for the initial Bell-like state and the corresponding Werner-like state, the loss of the entanglement can be periodically reduced by inserting the Kerr nonlinearity in the lossy cavity. Moreover, the relativity of the entanglement measures is demonstrated, to our knowledge for the first time, as a result of a physical process.
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"abstract": "Decoherence effect on quantum entanglement of two optical qubits in a lossy\ncavity interacting with a nonlinear medium (Kerr nonlinearity) is analyzed. The\nqubits are assumed to be initially in the maximally entangled states (Bell or\nBell-like states) or the maximally entangled mixed states, on the example of\nWerner and Werner-like states. Two kinds of measures of the entanglement are\nconsidered: the concurrence to describe a decay of the entanglement of\nformation of the qubits, and the negativity to determine a decay of the\nentanglement cost under positive-partial-transpose-preserving operations. It is\nobserved that the Kerr nonlinearity, in the discussed decoherence model, does\nnot affect the entanglement of the qubits initially in the Bell or Werner\nstates, although the evolution of the qubits can depend on this nonlinearity\nexplicitly. However, it is shown that for the initial Bell-like state and the\ncorresponding Werner-like state, the loss of the entanglement can be\nperiodically reduced by inserting the Kerr nonlinearity in the lossy cavity.\nMoreover, the relativity of the entanglement measures is demonstrated, to our\nknowledge for the first time, as a result of a physical process.",
"arxiv_id": "quant-ph/0402025",
"authors": [
"Adam Miranowicz"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/37/32/006",
"journal_ref": "J. Phys. A 37, 7909-7922 (2004)",
"title": "Decoherence of two maximally entangled qubits in a lossy nonlinear cavity",
"url": "https://arxiv.org/abs/quant-ph/0402025"
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