Foundations of quantum mechanics

Georgescu, Iulia

doi:10.1038/nphys2934

Cited by 9 publications

(7 citation statements)

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“…As we shall see, the latter gives rise to the entanglement between the π-electronic spin and the spatial degrees of freedom in graphene. Such entanglement is of course directly aected by the first term of equation (2), which governs the spatial states. Under ordinary conditions, the Zeeman spin splitting is much smaller than both [ 55,56]; in what follows we thus neglect the Zeeman term, the last part of equation (2).…”

Section: π-Electronic Energy States In the Presence Of A Magnetic Fie...mentioning

confidence: 99%

“…It is currently believed that any possible advances in computational technics rely upon the development of quantum information processing [1,2]. In this direction one faces the question of implementing the storage and manipulation of quantum information placed on entities with a limited number (preferably two) of stable quantum states [3][4][5].…”

Section: Introductionmentioning

confidence: 99%

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Thermal free entanglement of π-electronic spin and Landau-sublattice states in Rashba monolayer graphene

2016

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Free entanglement-the milestone of any quantum information processing scheme-among the π-electronic spin and its spatial states in graphene, as a function of temperature, is the main concern of the present report. It is assumed that a perpendicular magnetic field generates the Landau levels so that a coupling with the pseudo-spin (sublattice) states is enacted. Moreover, the pseudo-Rashba spin-orbit interaction (SOI), responsible for the coupling of spin and sublattice states, is also taken into account. From the structure of the total Hamiltonian, we introduce a Casimir operator which, in due turn, assists the development of a simple but ecient algorithm for our numerical computation. We then proceed by constructing the thermal density operator, its partially transposed one and, thereby, compute the negativity, the proper measure of free hybrid entanglement, at any temperature. Our results show that the negativity is nonvanishing at absolute zero temperature due to the fact that the ground state is an entangled one. Moreover, our results indicate that the negativity, at certain temperatures, exhibits maxima. The temperatures at which the entanglement (free) is maximal strongly depend on the magnetic field and pseudo-Rashba spin-orbit strength; decreasing the magnetic field and/or increasing the pseudo-Rashba parameter (PRP) enhances the maximal entanglement monotonically. As the temperature increases, however, it is shown that the negativity decreases asymptotically to zero. As a result, there exists distillable entanglement amid the π-electronic spin and its spatial states in graphene at any finite temperature.

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Section: π-Electronic Energy States In the Presence Of A Magnetic Fie...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Thermal free entanglement of π-electronic spin and Landau-sublattice states in Rashba monolayer graphene

2016

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“…Entanglement is regarded as an essential physical resource of quantum information sciences, which are responsible for the so called 'second quantum revolution' [1]. Besides the developments of quantum algorithm [2,3] and quantum computation [4], every study related to many-body quantum system [5] would benefit from a deeper understanding of multipartite entanglement.…”

Section: Introductionmentioning

confidence: 99%

Quantum state concentration and classification of multipartite entanglement

Zangi

Qiao

2018

Phys. Rev. A

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Entanglement is a unique nature of quantum theory and has tremendous potential for application. Nevertheless, the complexity of quantum entanglement grows exponentially with an increase in the number of entangled particles. Here we introduce a quantum state concentration scheme which decomposes the multipartite entangled state into a set of bipartite and tripartite entangled states. It is shown that the complexity of the entanglement induced by the large number of particles is transformed into the high dimensions of bipartite and tripartite entangled states for pure quantum systems. The results not only simplify the tedious work of verifying the (in)equivalence of multipartite entangled states, but also are instructive to the quantum many-body problem involving multipartite entanglement.

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“…to the study of entanglement and its nonlocal phenomena, and eventually lead to the development of quantum information sciences, which are now responsible for the so called "second quantum revolution" [4].…”

Section: Introductionmentioning

confidence: 99%

The Diminished Quantum Uncertainty in Multipartite Entanglement

Li,

Qiao

2018

Preprint

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The uncertainty principle and entanglement are two fundamental, but yet not well understood, features of quantum theory. The uncertainty relation reflects the capability limit in acquiring the knowledge of different physical properties of a particle simultaneously, while on the other side, the quantum entanglement renders the entangled quanta lose their independence, including measurements imposed on them. By virtue of the majorization, here we establish a general correlation relation for quantum uncertainty and multipartite entanglement. Within this scheme, the optimization problems for entropy and majorization uncertainty relation are solved.We obtain a diminished uncertainty relation in the presence of multipartite entanglement, where the lower bound is connected with the entanglement class. This result is inspiring, reveals the intrinsic quantitative connection between uncertainty relation and entanglement, and may have a deep impact on quantum measurement in application.

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Foundations of quantum mechanics

Abstract: From science to technology and back again:state-of-the-art tools developed for quantum technologies, in theory and experiment, are allowing researchers to revisit the foundations of quantum theory and to explore the terra incognita that may lie beyond.

Cited by 9 publications

References 0 publications

Thermal free entanglement of π-electronic spin and Landau-sublattice states in Rashba monolayer graphene

Thermal free entanglement of π-electronic spin and Landau-sublattice states in Rashba monolayer graphene

Quantum state concentration and classification of multipartite entanglement

The Diminished Quantum Uncertainty in Multipartite Entanglement

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