Nonclassical correlation in NMR quadrupolar systems

Soares-Pinto, D O; Auccaise, R; Azevedo, E R. de; Bonagamba, T J; Celeri, L C; Maziero, J; Serra, R M; Fanchini, F F

doi:10.1103/PHYSREVA.81.062118

Title: Nonclassical correlation in NMR quadrupolar systems

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Abstract

The existence of quantum correlation (as revealed by quantum discord), other than entanglement and its role in quantum-information processing (QIP), is a current subject for discussion. In particular, it has been suggested that this nonclassical correlation may provide computational speedup for some quantum algorithms. In this regard, bulk nuclear magnetic resonance (NMR) has been successfully used as a test bench for many QIP implementations, although it has also been continuously criticized for not presenting entanglement in most of the systems used so far. In this paper, we report a theoretical and experimental study on the dynamics of quantum and classical correlations in an NMR quadrupolar system. We present a method for computing the correlations from experimental NMR deviation-density matrices and show that, given the action of the nuclear-spin environment, the relaxation produces a monotonic time decay in the correlations. Although the experimental realizations were performed in a specific quadrupolar system, the main results presented here can be applied to whichever system uses a deviation-density matrix formalism.

Authors:

Soares-Pinto, D O; Auccaise, R; Azevedo, E R. de; Bonagamba, T J ^[1]; Celeri, L C; Maziero, J; Serra, R M ^[2]; Fanchini, F F ^[3]

Instituto de Fisica de Sao Carlos, Universidade de Sao Paulo, Post Office Box 369, 13560-970 Sao Carlos, Sao Paulo (Brazil)
Centro de Ciencias Naturais e Humanas, Universidade Federal do ABC, R. Santa Adelia 166, 09210-170 Santo Andre, Sao Paulo (Brazil)
Instituto de Fisica Gleb Wataghin, Universidade Estadual de Campinas, Post Office Box 6165, 13083-970 Campinas, Sao Paulo (Brazil)

Publication Date:: Tue Jun 15 00:00:00 EDT 2010

OSTI Identifier:: 21407900

Resource Type:: Journal Article

Journal Name:: Physical Review. A

Additional Journal Information:: Journal Volume: 81; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevA.81.062118; (c) 2010 The American Physical Society; Journal ID: ISSN 1050-2947

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; ALGORITHMS; CORRELATIONS; CURRENTS; DECAY; DENSITY MATRIX; NUCLEAR MAGNETIC RESONANCE; QUANTUM ENTANGLEMENT; QUANTUM INFORMATION; RELAXATION; SPIN; ANGULAR MOMENTUM; INFORMATION; MAGNETIC RESONANCE; MATHEMATICAL LOGIC; MATRICES; PARTICLE PROPERTIES; RESONANCE

Citation Formats


                    Soares-Pinto, D O, Auccaise, R, Azevedo, E R. de, Bonagamba, T J, Celeri, L C, Maziero, J, Serra, R M, and Fanchini, F F. Nonclassical correlation in NMR quadrupolar systems.  United States: N. p., 2010. 
        Web.  doi:10.1103/PHYSREVA.81.062118.

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                    Soares-Pinto, D O, Auccaise, R, Azevedo, E R. de, Bonagamba, T J, Celeri, L C, Maziero, J, Serra, R M, & Fanchini, F F. Nonclassical correlation in NMR quadrupolar systems.  United States.  https://doi.org/10.1103/PHYSREVA.81.062118

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                    Soares-Pinto, D O, Auccaise, R, Azevedo, E R. de, Bonagamba, T J, Celeri, L C, Maziero, J, Serra, R M, and Fanchini, F F. 2010.  
        "Nonclassical correlation in NMR quadrupolar systems".  United States.  https://doi.org/10.1103/PHYSREVA.81.062118.

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@article{osti_21407900,

  title        = {Nonclassical correlation in NMR quadrupolar systems},

  author       = {Soares-Pinto, D O and Auccaise, R and Azevedo, E R. de and Bonagamba, T J and Celeri, L C and Maziero, J and Serra, R M and Fanchini, F F},

  abstractNote = {The existence of quantum correlation (as revealed by quantum discord), other than entanglement and its role in quantum-information processing (QIP), is a current subject for discussion. In particular, it has been suggested that this nonclassical correlation may provide computational speedup for some quantum algorithms. In this regard, bulk nuclear magnetic resonance (NMR) has been successfully used as a test bench for many QIP implementations, although it has also been continuously criticized for not presenting entanglement in most of the systems used so far. In this paper, we report a theoretical and experimental study on the dynamics of quantum and classical correlations in an NMR quadrupolar system. We present a method for computing the correlations from experimental NMR deviation-density matrices and show that, given the action of the nuclear-spin environment, the relaxation produces a monotonic time decay in the correlations. Although the experimental realizations were performed in a specific quadrupolar system, the main results presented here can be applied to whichever system uses a deviation-density matrix formalism.},

  doi          = {10.1103/PHYSREVA.81.062118},

  url          = {https://www.osti.gov/biblio/21407900},
  journal      = {Physical Review. A},

  issn         = {1050-2947},

  number       = 6,

  volume       = 81,

  place        = {United States},

  year         = {Tue Jun 15 00:00:00 EDT 2010},

  month        = {Tue Jun 15 00:00:00 EDT 2010}

}

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