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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2008, Volume 88, Issue 6, Pages 454–457
(Mi jetpl234)
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This article is cited in 37 scientific papers (total in 37 papers)
QUANTUM INFORMATION SCIENCE
Evolution of spin entanglement and an entanglement witness in multiple-quantum NMR experiments
E. B. Fel'dman, A. N. Pyrkov Institute of Problems of Chemical Physics, Russian Academy of Sciences, Chernogolovka, Moscow region, 142432, Russia
Abstract:
We investigate the evolution of entanglement in multiple-quantum (MQ) NMR experiments in crystals with pairs of close nuclear spins-1/2. The initial thermodynamic equilibrium state of the system in a strong external magnetic field evolves under the non-secular part of the dipolar Hamiltonian. As a result, MQ coherences of the zeroth and plus/minus second orders appear. A simple condition for the emergence of entanglement is obtained. We show that the measure of the spin pair entanglement, concurrence, coincides qualitatively with the intensity of MQ coherences of the plus/minus second order and hence the entanglement can be studied with MQ NMR methods. We introduce an Entanglement Witness using MQ NMR coherences of the plus/minus second order.
Received: 17.07.2008
Citation:
E. B. Fel'dman, A. N. Pyrkov, “Evolution of spin entanglement and an entanglement witness in multiple-quantum NMR experiments”, Pis'ma v Zh. Èksper. Teoret. Fiz., 88:6 (2008), 454–457; JETP Letters, 88:6 (2008), 398–401
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https://www.mathnet.ru/eng/jetpl234 https://www.mathnet.ru/eng/jetpl/v88/i6/p454
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Abstract page: | 275 | Full-text PDF : | 122 | References: | 38 |
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