Entanglement in neutrino oscillations

Blasone, Massimo; DellʼAnno, Fabio; Siena, Silvio De; Illuminati, Fabrizio

doi:10.1209/0295-5075/85/50002

Cited by 124 publications

(148 citation statements)

References 32 publications

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“…They have been studied and applied in a variety of physical contexts such as quantum optics and condensed matter systems (superconductors, spin systems, etc.). More recently, attention has also been directed towards subatomic physics [1][2][3][4][5][6][7][8][9][10][11][12][13][14], inspired by the technical advances in high energy physics experiments, in particular the meson factories, reactor and accelerator neutrino experiments.…”

Section: Introductionmentioning

confidence: 99%

Quantum correlations in B and K meson systems

2016

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The interplay between the various measures of quantum correlations are well known in stable optical and electronic systems. Here, for the first time, we study such foundational issues in unstable quantum systems. Specifically we study meson-antimeson systems, which are produced copiously in meson factories. We use the semigroup formalism to compute the time evolution of several measures of quantum correlations for three meson systems (KK, B dBd and BsBs), circumventing difficulties which arise using other methods due to the instability of these particles. We then compare these measures to one another and find that the relations between them can be nontrivially different from those of their stable counterparts such as neutrinos.

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Section: Introductionmentioning

confidence: 99%

Quantum correlations in B and K meson systems

2016

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“…Recall that in the standard plane-wave model with only two neutrino flavors (e.g. ν e and ν µ ), which is a relevant approximation for several practical neutrino oscillation scenarios [21,22]…”

Section: B Two-flavor Neutrino Oscillations and Mode Entanglementmentioning

confidence: 99%

“…As mentioned in Section 1, the natural form of entanglement to consider in this context is single-particle, mode entanglement. The general idea is very simple, and we refer the interested reader to Blasone et al [16,22] for details. First, notice that we can look at the neutrino state space H ν as the two-qubit Hilbert space H 1 ⊗ H 2 spanned by {|1 1 ⊗ |0 2 , |0 1 ⊗ |1 2 }, by means of the unitary equivalence defined on the mass basis by |ν 1 −→ |1 1 ⊗ |0 2 and |ν 2 −→ |0 1 ⊗ |1 2 .…”

Section: Ementioning

confidence: 99%

“…First, notice that we can look at the neutrino state space H ν as the two-qubit Hilbert space H 1 ⊗ H 2 spanned by {|1 1 ⊗ |0 2 , |0 1 ⊗ |1 2 }, by means of the unitary equivalence defined on the mass basis by |ν 1 −→ |1 1 ⊗ |0 2 and |ν 2 −→ |0 1 ⊗ |1 2 . Then, observe that in this two-qubit representation [22] there is a bipartition of the space of quantum states available, relative to which entanglement can be considered. Correspondingly, a neutrino state which is entangled as a two qubit state is said to be mode entangled.…”

Section: Ementioning

confidence: 99%

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Quantum estimation in neutrino oscillations

Nogueira

Souza

Varizi

et al. 2017

Int. J. Quantum Inform.

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Neutrino oscillations are at the forefront of advances in Physics beyond the Standard Model. Increasing accuracy in measurements of the neutrino mixing matrix is an important challenge in current experiments. It depends on parameters that do not directly correspond to observables of the neutrino system. This type of estimation problem is handled by Quantum Estimation Theory (QET) via the Fisher Information (FI) and the Quantum Fisher Information (QFI). In this work, we analyze two-flavor neutrino oscillations within the framework of QET. We compute the QFI for the mixing angle θ and show that mass measurements are the ones that achieve optimal precision. We also study the FI associated with flavor measurements and show that they are optimized at specific neutrino times-of-flight. Therefore, although the usual population measurement does not realize the precision limit set by the QFI, it can in principle be implemented with the best possible sensitivity to θ. We study how these quantifiers relate to the single-particle, mode entanglement. We demonstrate that this form of entanglement does not enhance neither of them. In particular, this shows that in single-particle settings, entanglement is not directly connected with the optimal precision in metrological tasks.

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“…Subsequently, such a path-spin hybrid entangled state for a single neutron has been realized experimentally [18]. Recently, an interesting application of hybrid intraparticle entanglement has been discussed in the context of neutrino oscillations [19]. There have also been studies that use the notion of the intraparticle entanglement for demonstrating nonlocality of a single photon [20].…”

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confidence: 99%

Swapping path-spin intraparticle entanglement onto spin-spin interparticle entanglement

et al. 2010

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Based on a scheme that produces an entanglement between the spin and the path variables of a single spin-1/2 particle (qubit) using a beam-splitter and a spin-flipper, we formulate a procedure for transferring this intraparticle hybrid entanglement to an interparticle entanglement between the spin variables of two other spatially separated spin-1/2 particles which never interact with each other during the entire process. This procedure of entanglement swapping is accomplished by a Mach-Zehnder setup in conjunction with the Stern-Gerlach measuring device and by using suitable unitary operations. The proposed protocol, thus, enables the use of intraparticle entanglement as a resource -a feature that has remained unexplored.PACS numbers: 03.65.UdOver the years, quantum entanglement has been increasingly recognised as a key ingredient in the information theoretic processes involving storage and distribution of information among the fundamental constituents of the world [1]. The first profound implication of entanglement for quantum foundations was noticed way back in 1935 using position and momentum variables [2], and was later extended to the discrete spin variables [3]. In recent times there has been significant development of the theory of entanglement for systems described by various types of Hilbert spaces, such as those corresponding to discrete variables[4] as well as for those pertaining to continuous variables [5]. Several powerful information processing protocols such as cryptography [6], densecoding [7], quantum teleportation [8], and entanglement swapping [9] have been developed for the spin entangled states, as well as for the position-momentum entangled states [10,11].The study of various aspects of entanglement and the associated applications in the context of information theory promises to provide insights into a wide range of diverse phenomena such as phase transitions in condensed matter systems [12] and black hole physics [13]. Against this backdrop, the investigation of hybrid entanglement between the physical variables in mutually different Hilbert spaces such as those corresponding to the path (or linear momentum) variables on the one hand, and spin variables on the other, is of special relevance. Although the theoretical framework of quantum mechanics allows for the existence of hybrid entangled states involving Hilbert spaces with distinct properties, the possibility of physical realization of such states has not been much explored and is only beginning to be appreciated [14].Another interesting recent line of development is based on the idea of generation of intraparticle entanglement between the different degrees of freedom of the same particle. The entanglement between polarization and linear momentum of a single photon [15], and also that between polarization and angular momentum of a single photon [16] have been demonstrated experimentally. The idea of creating an entanglement between the path and the spin degrees of freedom for a single spin-1/2 particle was first proposed in order to d...

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Entanglement in neutrino oscillations

Cited by 124 publications

References 32 publications

Quantum correlations in B and K meson systems

Quantum correlations in B and K meson systems

Quantum estimation in neutrino oscillations

Swapping path-spin intraparticle entanglement onto spin-spin interparticle entanglement

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