Measuring QED cross sections via entanglement

Araujo, Jonas B.; Hiller, Brigitte; Paz, I. G. da; Ferreira, Manoel M.; Sampaio, Marcos; Costa, H. A. S.

doi:10.1103/physrevd.100.105018

Cited by 16 publications

(8 citation statements)

References 39 publications

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“…x,z = 0, contrarily to the conclusion in [50]. This result is guaranteed for any other combination of d j , since any other entanglement of two particles implies the same behavior in the individual systems B and C as seen in |Ψ ± (Φ ± ) ; a combination in which all the d j are different from 0 would lead to a product state in which C could clearly be isolated from the scattering process between A and B.…”

Section: Final Discussion and Perspectivesmentioning

confidence: 67%

“…Finally, some of us has studied the QED inelastic process e + e − → µ + µ − watched by an spectator particle, entangled with one of the particles in the in-state [50]. It was claimed that partial information about the dynamics and the total cross-section of particles A, B could be obtained from spin measurements on the spectator particle C. In the present contribution we provide a complete analysis by considering a general tripartite spin 1/2-state…”

Section: Introductionmentioning

confidence: 99%

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Entanglement and scattering in quantum electrodynamics: S-matrix information from an entangled spectator particle

Fonseca¹,

Hiller²,

Araujo³

et al. 2021

Preprint

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We consider a general quantum field relativistic scattering involving two half spin fermions, A and B, which are initially entangled with another fermion C that does not participate in the scattering dynamics. We construct general expressions for the reduced spin matrices for the out-state considering a general tripartite spin-entangled state. In particular we study an inelastic QED process at tree-level, namely e − e + → µ − µ + and a half spin fermion C as an spectator particle which can be entangled to the AB system in the following ways: W state, GHZ state, |A α ⊗ |Ψ ± BC and |A α ⊗ |Φ ± BC, where {|Ψ ± , |Φ ± } are the Bell basis states and |A α is a spin superposition state of system A. We calculate the von-Neumann entropy variation before and after the scattering for the particle C and show that spin measurements in C contain numerical information about the total cross section of the process. We compare the initial states W and GHZ as well as study the role played by the parameter α in the evaluation of the entropy variations and the cross section encoded in the spectator particle.

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Section: Final Discussion and Perspectivesmentioning

confidence: 67%

Section: Introductionmentioning

confidence: 99%

Entanglement and scattering in quantum electrodynamics: S-matrix information from an entangled spectator particle

Fonseca¹,

Hiller²,

Araujo³

et al. 2021

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…give identical results for transition probabilities. However, it has recently been pointed out [11]- [17] that the two approaches have subtle differences with how quantum information is distributed in a scattering process [18]- [28].…”

Section: Jhep07(2020)228mentioning

confidence: 99%

On the infrared divergence and global colour in $$ \mathcal{N} $$ = 4 Yang-Mills theory

Ding

Karczmarek

Semenoff

2020

J. High Energ. Phys.

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The $$ \mathcal{N} $$ N = 4 superconformal Yang-Mills theory on flat four-dimensional Minkowski space is a de-confined gauge theory in the sense that the string tension for fundamental representation coloured quarks vanishes. In fact, static fundamental representation quarks which lie in certain half-BPS super-multiplets do not interact at all. An interesting question asks whether such quarks would carry a well-defined global colour charge which, when the gauge is fixed, should have the status of an internal symmetry. We shall present a simple paradigmatic model which suggests that the answer to this question lies in the way in which infrared divergences are dealt with.

show abstract

“…They give identical results for transition probabilities. However, it has recently been pointed out [11]- [17] that the two approaches have subtle differences with how quantum information is distributed in a scattering process [18]- [28].…”

Section: Introductionmentioning

confidence: 99%

On the infrared divergence and global colour in N=4 Yang-Mills theory

Ding,

Karczmarek,

Semenoff

2020

Preprint

View full text Add to dashboard Cite

The N = 4 superconformal Yang-Mills theory on flat four-dimensional Minkowski space is a de-confined gauge theory in the sense that the string tension for fundamental representation coloured quarks vanishes. In fact, static fundamental representation quarks which lie in certain half-BPS super-multiplets do not interact at all. An interesting question asks whether such quarks would carry a well-defined global colour charge which, when the gauge is fixed, should have the status of an internal symmetry. We shall present a simple paradigmatic model which suggests that the answer to this question lies in the way in which infrared divergences are dealt with.

show abstract

Measuring QED cross sections via entanglement

Cited by 16 publications

References 39 publications

Entanglement and scattering in quantum electrodynamics: S-matrix information from an entangled spectator particle

Entanglement and scattering in quantum electrodynamics: S-matrix information from an entangled spectator particle

On the infrared divergence and global colour in $$ \mathcal{N} $$ = 4 Yang-Mills theory

On the infrared divergence and global colour in N=4 Yang-Mills theory

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