dorsal/arxiv
View SchemaMultiple-Quantum Spin Dynamics of Entanglement
| Authors | S. I. Doronin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0306204 |
| URL | https://arxiv.org/abs/quant-ph/0306204 |
| DOI | 10.1103/PhysRevA.68.052306 |
| Journal | Phys. Rev. A 68, 052306 (2003) |
Abstract
Dynamics of entanglement is investigated on the basis of exactly solvable models of multiple-quantum (MQ) NMR spin dynamics. It is shown that the time evolution of MQ coherences of systems of coupled nuclear spins in solids is directly connected with dynamics of the quantum entanglement. We studied analytically dynamics of entangled states for two- and three-spin systems coupled by the dipole-dipole interaction. In this case dynamics of the quantum entanglement is uniquely determined by the time evolution of MQ coherences of the second order. The real part of the density matrix describing MQ dynamics in solids is responsible for MQ coherences of the zeroth order while its imaginary part is responsible for the second order. Thus, one can conclude that dynamics of the entanglement is connected with transitions from the real part of the density matrix to the imaginary one and vice versa. A pure state which generalizes the GHZ and W states is found. Different measures of the entanglement of this state are analyzed for three-partite systems.
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"abstract": "Dynamics of entanglement is investigated on the basis of exactly solvable\nmodels of multiple-quantum (MQ) NMR spin dynamics. It is shown that the time\nevolution of MQ coherences of systems of coupled nuclear spins in solids is\ndirectly connected with dynamics of the quantum entanglement. We studied\nanalytically dynamics of entangled states for two- and three-spin systems\ncoupled by the dipole-dipole interaction. In this case dynamics of the quantum\nentanglement is uniquely determined by the time evolution of MQ coherences of\nthe second order. The real part of the density matrix describing MQ dynamics in\nsolids is responsible for MQ coherences of the zeroth order while its imaginary\npart is responsible for the second order. Thus, one can conclude that dynamics\nof the entanglement is connected with transitions from the real part of the\ndensity matrix to the imaginary one and vice versa. A pure state which\ngeneralizes the GHZ and W states is found. Different measures of the\nentanglement of this state are analyzed for three-partite systems.",
"arxiv_id": "quant-ph/0306204",
"authors": [
"S. I. Doronin"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.68.052306",
"journal_ref": "Phys. Rev. A 68, 052306 (2003)",
"title": "Multiple-Quantum Spin Dynamics of Entanglement",
"url": "https://arxiv.org/abs/quant-ph/0306204"
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