Work

Evolution of spin entanglement and an entanglement witness in multiple-quantum NMR experiments

Year: 2008

Type: article

Abstract: We investigate the evolution of entanglement in multiple-quantum (MQ) NMR experiments in crystals with pairs of close nuclear 1/2-spins. The initial thermodynamic equilibrium state of the system in a strong external magnetic field evolves under the nonsecular 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.

Source: Journal of Experimental and Theoretical Physics Letters

DOI: 10.1134/s0021364008180124

Authors: E. B. Fel’dman, A. N. Pyrkov

Institutions: Russian Academy of Sciences, Institute of Problems of Chemical Physics

Language: English

Topic: Quantum Information and Cryptography

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: Russian Foundation for Basic Research

OpenAlex ID: W2054475619

FWCI: 1.005

Cites: 21

Cited by: 38

Related to: 10