NMR investigation of contextuality in a quantum harmonic oscillator via pseudospin mapping
Physical potentials are routinely approximated to harmonic potentials. Hence it is important to know when a quantum harmonic oscillator (QHO) behaves quantum mechanically and when classically. Recently Su et al. (Phys. Rev. A, 85 (2012) 052126) have theoretically shown that QHO exhibits quantum cont...
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| Published in: | Europhysics letters Vol. 113; no. 2; p. 20003 |
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| Language: | English |
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EDP Sciences, IOP Publishing and Società Italiana di Fisica
01-01-2016
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| Abstract | Physical potentials are routinely approximated to harmonic potentials. Hence it is important to know when a quantum harmonic oscillator (QHO) behaves quantum mechanically and when classically. Recently Su et al. (Phys. Rev. A, 85 (2012) 052126) have theoretically shown that QHO exhibits quantum contextuality (QC) for a certain set of pseudospin observables. Here we encode the four eigenstates of a QHO onto four Zeeman product states of a pair of spin-(1/2) nuclei. Using the techniques of NMR quantum information processing, we then demonstrate the violation of both state-dependent and state-independent inequalities arising from the noncontextual hidden variable model. |
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| AbstractList | Physical potentials are routinely approximated to harmonic potentials. Hence it is important to know when a quantum harmonic oscillator (QHO) behaves quantum mechanically and when classically. Recently Su et al. (Phys. Rev. A, 85 (2012) 052126) have theoretically shown that QHO exhibits quantum contextuality (QC) for a certain set of pseudospin observables. Here we encode the four eigenstates of a QHO onto four Zeeman product states of a pair of spin-(1/2) nuclei. Using the techniques of NMR quantum information processing, we then demonstrate the violation of both state-dependent and state-independent inequalities arising from the noncontextual hidden variable model. |
| Author | Sudheer Kumar, C. S. Mahesh, T. S. Katiyar, Hemant |
| Author_xml | – sequence: 1 givenname: Hemant surname: Katiyar fullname: Katiyar, Hemant email: hkatiyar@uwaterloo.ca organization: Indian Institute of Science Education and Research NMR Research Center, - Pune 411008, India – sequence: 2 givenname: C. S. surname: Sudheer Kumar fullname: Sudheer Kumar, C. S. email: sudheer.kumar@students.iiserpune.ac.in organization: Indian Institute of Science Education and Research NMR Research Center, - Pune 411008, India – sequence: 3 givenname: T. S. surname: Mahesh fullname: Mahesh, T. S. email: mahesh.ts@iiserpune.ac.in organization: Indian Institute of Science Education and Research NMR Research Center, - Pune 411008, India |
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| Cites_doi | 10.1103/PhysRevLett.104.160501 10.1016/0375-9601(90)90172-K 10.1088/0034-4885/69/5/R02 10.1063/1.2835542 10.1103/PhysRevA.85.052126 10.1007/BF00669912 10.1017/CBO9780511976667 10.1002/9783527619153 10.1103/PhysRevA.81.022121 10.1073/pnas.94.5.1634 10.1103/PhysRevA.90.022303 10.1103/PhysRev.47.777 10.1007/978-1-4757-9808-1 10.1103/PhysRevLett.65.3373 10.1088/0305-4470/24/4/003 10.1016/j.jmr.2004.11.004 10.1103/PhysRevLett.101.210401 |
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| References | 11 12 13 14 16 17 Walther H. (8) 2006; 69 19 1 Kochen S. (4) 1967; 17 Peres A. (3) 1995 5 Cavanagh J. (18) 1996 6 7 9 Peres A. (2) 1991; 24 Kong X. (15) 2012 20 10 21 |
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| SubjectTerms | 03.65.Ta 03.65.Ud 03.67.-a Approximation Data processing Eigenvectors Harmonic oscillators Inequalities Mapping Mathematical models NMR Nuclear magnetic resonance Nuclei Quantum phenomena |
| Title | NMR investigation of contextuality in a quantum harmonic oscillator via pseudospin mapping |
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