Quantum state tomography, entanglement detection and Bell violation prospects in weak decays of massive particles

Ashby-Pickering, Rachel; Barr, A. J.; Wierzchucka, Agnieszka

doi:10.48550/arxiv.2209.13990

Cited by 3 publications

(5 citation statements)

References 72 publications

(111 reference statements)

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“…In particular, as discussed in section (5), we have paid attention to devise a BRST invariant framework for the study of the violation of the CHSH inequality in the case of gauge theories, taking as explicit example the U (1) Higgs model [51]. We highlight that the setup presented in section (5) generalizes as well to the case of the non-Abelian SU (2) model [41,40,39,38,37,36], a feature which might lead to a Quantum Field Theory investigation of the CHSH inequality in the electroweak theory, a subject of great phenomenological and experimental interest, see [52] and refs. therein.…”

Section: Discussionmentioning

confidence: 97%

Remarks on the Clauser-Horne-Shimony-Holt inequality in relativistic quantum field theory

Peruzzo¹,

Sorella²

2022

Preprint

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We present an investigation of the CHSH inequality within a relativistic quantum field theory model built up with a pair of free massive scalar fields (ϕA, ϕB) where, as it is customary, the indices (A, B) refer to Alice and Bob, respectively. A set of bounded Hermitian operators is introduced by making use of the Weyl operators. A CHSH type correlator is constructed and evaluated in the Fock vacuum by means of the canonical quantization. Although the observed violation of the CHSH inequality turns out to be rather small as compared to Tsirelson's bound of Quantum Mechanics, the model can be employed for the study of Bell's inequalities in the more physical case of gauge theories such as: the Higgs models, for which local BRST invariant operators describing both the massive gauge boson as well as the Higgs particle have been devised. These operators can be naturally exponentiated, leading to BRST invariant type of Weyl operators useful to analyze Bell's inequalities within an invariant BRST environment.

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Section: Discussionmentioning

confidence: 97%

Remarks on the Clauser-Horne-Shimony-Holt inequality in relativistic quantum field theory

Peruzzo¹,

Sorella²

2022

Preprint

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“…As we have seen, the Dirac spinors seem to be the natural quantum fields to be employed in the construction of GHZ-like states in Quantum Field Theory, Eqs. ( 33), (34). For instance, Dirac spinors can be employed to construct the squeezing operator…”

Section: Discussionmentioning

confidence: 99%

“…( 3), adopting analogous definitions for the operators A, A ′ , B, B ′ , C, C ′ , see Eq. ( 7), and using the GHZ-like state obtained from the Fock vacuum through the action of the squeezing operator S 3 (34), one finds…”

Section: Mermin's Inequalities Violation In the Fock Vacuum Of Quantu...mentioning

confidence: 99%

“…It is worth emphasizing that this is a topic of great interest in the phenomenology of Particle Physics, much related to both current and future experiments at the Large Hadron Collider, LHC, and other particle accelerators, that will make it possible to scrutinize this subject in energy regimes never considered before, as one might check out in Refs. [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35].…”

Section: Introductionmentioning

confidence: 99%

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Mermin's inequalities in Quantum Field Theory

Philipe¹,

Roditi²,

Sorella³

2023

Preprint

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A relativistic Quantum Field Theory framework is devised for Mermin's inequalities. By employing smeared Dirac spinor fields, we are able to introduce unitary operators which create, out of the Minkowski vacuum 0⟩, GHZ-type states. In this way, we are able to obtain a relation between the expectation value of Mermin's operators in the vacuum and in the GHZ-type states. We show that Mermin's inequalities turn out to be maximally violated when evaluated on these states.

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“…with progress having been reported recently [17]. Other collider processes have also been investigated [21][22][23][24][25][26].…”

Section: Jhep01(2023)148mentioning

confidence: 99%

Quantum entanglement and top spin correlations in SMEFT at higher orders

Severi

Vryonidou

2023

J. High Energ. Phys.

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We present the first analysis of top spin polarizations, $$ t\overline{t} $$ t t ¯ spin correlations, and $$ t\overline{t} $$ t t ¯ spin entanglement at the LHC in the context of the Standard Model Effective Field Theory, that goes beyond Leading Order QCD accuracy. The complete set of independent dimension-6 operators entering $$ t\overline{t} $$ t t ¯ production is identified, and their effects on all top spin observables are extracted at linear and quadratic order in c/Λ2. By comparing results at LO and NLO, we note that the inclusion of higher orders, while not dramatically changing the picture, often amounts to notable numerical differences, that are not fully captured by LO scale variation. We also find that the expected deviations from the SM have an intricate phase space structure, and show up predominantly at large top pT. For this reason, we advocate for the measurement of spin observables differentially or doubly-differentially in the $$ t\overline{t} $$ t t ¯ phase-space. We show how the inclusion of present and future top spin measurements will improve global fits to top LHC data, by also addressing the issue of flat directions.

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Quantum state tomography, entanglement detection and Bell violation prospects in weak decays of massive particles

Cited by 3 publications

References 72 publications

Remarks on the Clauser-Horne-Shimony-Holt inequality in relativistic quantum field theory

Remarks on the Clauser-Horne-Shimony-Holt inequality in relativistic quantum field theory

Mermin's inequalities in Quantum Field Theory

Quantum entanglement and top spin correlations in SMEFT at higher orders

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