Quantifying the hybrid entanglement of the Stern-Gerlach experiment using discrete reductions

Martínez, E Piceno; Aguilar, L. M. Arévalo

doi:10.1016/j.physleta.2021.127200

Cited by 2 publications

(7 citation statements)

References 72 publications

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“…The definitions in Eq. (A12) make all the variables dimesionless and our results completely comparable with those of other works that study the entanglement in the SGE [31,33]. We found that the final state is a superposition state of the spin eigenstates, in the same way as the state coming out from a single SGE [29,30], and therefore does not represent a state following a definite trajectory to the screen.…”

Section: Dynamic Evolution Of the Csgesupporting

confidence: 86%

“…We then conclude the presence of non-locality in the CSGE, both in the multiple partial (two-way) correlations, as well as in the genuine threeway correlations between our three DoFs. In this way we can directly compare the temporal behavior of the quantum correlations and entanglement in the CSGE relying in the parameter k. Plot similar to the one given in [31].…”

Section: Discussionmentioning

confidence: 99%

“…The entanglement in the SGE has been widely studied in recent years, for instance in [31,33,41]. One of the primal goals of these descriptions of entanglement is the quantification of the same by means of entanglement measures either in discrete, continous or hybrid sytems.…”

Section: Relation Between Correlations and Entanglement In The Csgementioning

confidence: 99%

“…Our treatment of the quantum correlations is directly equiparable with the study of the entanglement of the SGE by [31,33] due to it maintaining the same quantum description of the SGE of [31] and the same temporal dependence in the correlation function, Eq. (B1), and the entanglement of [31,33].…”

Section: Relation Between Correlations and Entanglement In The Csgementioning

confidence: 99%

“…On the other hand, the SGE stands as a pillar for the historical development of quantum mechanics and nowadays constitutes an active field of research, regarding both its experimental capabilities and theoretical studies [29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47], and it also constitutes an important tool in the teaching of both quantum mechanics and quantum information.…”

Section: Introductionmentioning

confidence: 99%

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Single-particle steering and nonlocality: The consecutive Stern-Gerlach experiments

2021

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Quantum nonlocality and quantum steering are fundamental correlations of quantum systems which can not be created using classical resources only. Nonlocality describes the ability to influence the possible results of measurements carried out in distant systems, in quantum steering Alice remotely steers Bob's state. Research in nonlocality and steering possess a fundamental interest for the development of quantum information and in many applications requiring nonlocal resources like quantum key distribution. On the other hand, the Stern-Gerlach experiment holds an important place in the history, development and teaching of quantum mechanics and quantum information. In particular, the thought experiment of consecutive Stern-Gerlach Experiments is commonly used to exemplify the concept of non-commutativity between quantum operators. However, to the best of our knowledge, the consecutive Stern-Gerach Experiments have not been treated in a fully quantum manner yet, and it is a widely accepted idea that atoms crossing consecutive Stern-Gerach Experiments follow classical paths. Here we demonstrate that two consecutive Stern-Gerach Experiment generate nonlocality and steering, these nonlocal effects strongly modify our usual understanding of this experiment. Also, we discuss the implications of this result and its relation with the entanglement. This suggests the use of quantum correlations, of particles possessing mass, to generate nonlocal taks using this venerable experiment.

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Section: Dynamic Evolution Of the Csgesupporting

confidence: 86%

Section: Discussionmentioning

confidence: 99%

Section: Relation Between Correlations and Entanglement In The Csgementioning

confidence: 99%

Section: Relation Between Correlations and Entanglement In The Csgementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Single-particle steering and nonlocality: The consecutive Stern-Gerlach experiments

2021

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Nonlocal single particle steering generated through single particle entanglement

Aguilar

2021

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In 1927, at the Solvay conference, Einstein posed a thought experiment with the primary intention of showing the incompleteness of quantum mechanics; to prove it, he employed the instantaneous nonlocal effects caused by the collapse of the wavefunction of a single particle—the spooky action at a distance–, when a measurement is done. This historical event preceded the well-know Einstein–Podolsk–Rosen criticism over the incompleteness of quantum mechanics. Here, by using the Stern–Gerlach experiment, we demonstrate how the instantaneous nonlocal feature of the collapse of the wavefunction together with the single-particle entanglement can be used to produce the nonlocal effect of steering, i.e. the single-particle steering. In the steering process Bob gets a quantum state depending on which observable Alice decides to measure. To accomplish this, we fully exploit the spreading (over large distances) of the entangled wavefunction of the single-particle. In particular, we demonstrate that the nonlocality of the single-particle entangled state allows the particle to “know” about the kind of detector Alice is using to steer Bob’s state. Therefore, notwithstanding strong counterarguments, we prove that the single-particle entanglement gives rise to truly nonlocal effects at two faraway places. This opens the possibility of using the single-particle entanglement for implementing truly nonlocal task.

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Quantifying the hybrid entanglement of the Stern-Gerlach experiment using discrete reductions

Cited by 2 publications

References 72 publications

Single-particle steering and nonlocality: The consecutive Stern-Gerlach experiments

Single-particle steering and nonlocality: The consecutive Stern-Gerlach experiments

Nonlocal single particle steering generated through single particle entanglement

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