Leggett-Garg inequality for qubits coupled to thermal environment

Łobejko, Marcin; Łuczka, J.; Dajka, Jerzy

doi:10.1103/physreva.91.042113

Cited by 18 publications

(16 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this paper, we consider only certain elements of Davies semi-groups: the so called Davies maps [12,14,15,17,21] which are completely positive and describe time evolution of qubits (two-level systems with an energy splitting ω) coupled to a thermal environment [10,11] via a mapping [21] acting on single qubit density matrices in the following way [5]:…”

Section: Davies Decoherece and Entanglementmentioning

confidence: 99%

“…We study an effect of decoherence modelled by the Davies approximation [10] which, except mathematical rigour, has a well established physical setting [11]. The Davies method has been successfully used in recent studies of various problems in quantum information and physics of open quantum systems including teleportation [12], bi-partite entanglement dynamics [13], quantum discord [14,15], quantum cloning [16], Bell-type [14] and Leggett-Garg non-locality [17], properties a e-mail: jerzy.dajka@us.edu.pl…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Multi-partite entanglement in Davies environment

Jałowiecki

Dajka

2019

Eur. Phys. J. Spec. Top.

Self Cite

View full text Add to dashboard Cite

We analyse dynamics of genuinely multi-partite entanglement of N-qubit states initially prepared in the form of so called X-matrices with one qubit coupled to a Davies-type environment. We develop an analytic formula for genuinely multi-partite concurrence of the investigated states as a function of time and analyze its time evolution with an emphasis on the qualitative difference between systems affected by a pure decoherence only and those which do dissipate energy at finite temperature.

show abstract

Section: Davies Decoherece and Entanglementmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Multi-partite entanglement in Davies environment

Jałowiecki

Dajka

2019

Eur. Phys. J. Spec. Top.

Self Cite

View full text Add to dashboard Cite

show abstract

“…In particular, in our calculations we set τ = 0.1 and assume the experimental values of the solar mixing angle θ 12 = 0.187π and ∆m [39]. Furthermore, the values of the [c ij ] Kossakowski matrix, rather than derived from any fundamental properties of the system, such as the coupling with the welldescribed thermal environment [27,40], result from a phenomenological modeling [7,28]. Our choice of the non-vanishing c ij , yet the simplest possible, has no qualitative influence on the presented results.…”

Section: Leggett-garg K3 Function For the Neutrinomentioning

confidence: 99%

Leggett-GargK3quantity discriminates between Dirac and Majorana neutrinos

2017

Self Cite

View full text Add to dashboard Cite

The K3 quantity, introduced in a context of the Leggett-Garg inequality violation, is studied for the neutrino oscillations in matter with phenomenologically modelled dissipative environment. It is shown that the K3 function acquires different values depending on whether neutrino is Dirac or Majorana particle, provided that there is a dissipative interaction between matter and neutrinos. The difference occurs for various matter densities and can serve as a potential quantifier verifying the neutrino nature. Moreover, working within phenomenological model one can suggest the values of the matter density and dissipation for which the difference is the most visible. There exist also special conditions in which the violation of the Leggett-Garg inequality, to a different extent for both kinds of neutrino, is observed.

show abstract

“…LGI is also studied for a system of qubits coupled to a thermal environment [30]. For more details reader can refer to the review [19].…”

Section: Noninvasive Measurability (Nm)mentioning

confidence: 99%

Quantum Correlations in NMR Systems

Mahesh¹,

Kumar²,

Bhosale³

2017

Quantum Science and Technology

View full text Add to dashboard Cite

In conventional NMR experiments, the Zeeman energy gaps of the nuclear spin ensembles are much lower than their thermal energies, and accordingly exhibit tiny polarizations.Generally such low-purity quantum states are devoid of quantum entanglement. However, there exist certain nonclassical correlations which can be observed even in such systems. In this chapter, we discuss three such quantum correlations, namely, quantum contextuality, Leggett-Garg temporal correlations, and quantum discord. In each case, we provide a brief theoretical background and then describe some results from NMR experiments. * mahesh.ts@iiserpune.ac.in † sudheer.kumar@students.iiserpune.ac.in ‡ uday.bhosale@iiserpune.ac.in arXiv:1608.06579v1 [quant-ph] 5 Aug 2016 'Correlations cry out for explanation' -J. S. Bell in Speakable and Unspeakable in Quantum Mechanics, Cambridge university press (1989).

show abstract

Leggett-Garg inequality for qubits coupled to thermal environment

Cited by 18 publications

References 21 publications

Multi-partite entanglement in Davies environment

Multi-partite entanglement in Davies environment

Leggett-GargK3quantity discriminates between Dirac and Majorana neutrinos

Quantum Correlations in NMR Systems

Contact Info

Product

Resources

About