Quantum state tomography, entanglement detection and Bell violation prospects in weak decays of massive particles
Abstract A rather general method for determining the spin density matrix of a multi-particle system from angular decay data is presented. The method is based on a Bloch parameterisation of the d-dimensional generalised Gell-Mann representation of ρ and exploits the associated Wigner- and Weyl-transf...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-05-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP05(2023)020 |
| _version_ | 1797736399101755392 |
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| author | Rachel Ashby-Pickering Alan J. Barr Agnieszka Wierzchucka |
| author_facet | Rachel Ashby-Pickering Alan J. Barr Agnieszka Wierzchucka |
| author_sort | Rachel Ashby-Pickering |
| collection | DOAJ |
| description | Abstract A rather general method for determining the spin density matrix of a multi-particle system from angular decay data is presented. The method is based on a Bloch parameterisation of the d-dimensional generalised Gell-Mann representation of ρ and exploits the associated Wigner- and Weyl-transforms on the sphere. Each parameter of a (possibly multipartite) spin density matrix can be measured from a simple average over an appropriate set of experimental angular decay distributions. The general procedures for both projective and non-projective decays are described, and the Wigner P and Q symbols calculated for the cases of spin-half, spin-one, and spin-3/2 systems. The methods are used to examine Monte Carlo simulations of pp collisions for bipartite systems: pp → W + W − , pp → ZZ, pp → ZW +, pp → W + t ¯ $$ {W}^{+}\overline{t} $$ , t t ¯ $$ t\overline{t} $$ , and those from the Higgs boson decays H → WW * and H → ZZ *. Measurements are proposed for entanglement detection, exchange symmetry detection and Bell inequality violation in bipartite systems. |
| first_indexed | 2024-03-12T13:13:13Z |
| format | Article |
| id | doaj.art-36de8e8fd37449b6a544923b3311a7e2 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-12T13:13:13Z |
| publishDate | 2023-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-36de8e8fd37449b6a544923b3311a7e22023-08-27T11:06:43ZengSpringerOpenJournal of High Energy Physics1029-84792023-05-012023514910.1007/JHEP05(2023)020Quantum state tomography, entanglement detection and Bell violation prospects in weak decays of massive particlesRachel Ashby-Pickering0Alan J. Barr1Agnieszka Wierzchucka2Department of Physics, University of OxfordDepartment of Physics, University of OxfordDepartment of Physics, University of OxfordAbstract A rather general method for determining the spin density matrix of a multi-particle system from angular decay data is presented. The method is based on a Bloch parameterisation of the d-dimensional generalised Gell-Mann representation of ρ and exploits the associated Wigner- and Weyl-transforms on the sphere. Each parameter of a (possibly multipartite) spin density matrix can be measured from a simple average over an appropriate set of experimental angular decay distributions. The general procedures for both projective and non-projective decays are described, and the Wigner P and Q symbols calculated for the cases of spin-half, spin-one, and spin-3/2 systems. The methods are used to examine Monte Carlo simulations of pp collisions for bipartite systems: pp → W + W − , pp → ZZ, pp → ZW +, pp → W + t ¯ $$ {W}^{+}\overline{t} $$ , t t ¯ $$ t\overline{t} $$ , and those from the Higgs boson decays H → WW * and H → ZZ *. Measurements are proposed for entanglement detection, exchange symmetry detection and Bell inequality violation in bipartite systems.https://doi.org/10.1007/JHEP05(2023)020Quantum GroupsElectroweak Precision PhysicsHiggs Properties |
| spellingShingle | Rachel Ashby-Pickering Alan J. Barr Agnieszka Wierzchucka Quantum state tomography, entanglement detection and Bell violation prospects in weak decays of massive particles Journal of High Energy Physics Quantum Groups Electroweak Precision Physics Higgs Properties |
| title | Quantum state tomography, entanglement detection and Bell violation prospects in weak decays of massive particles |
| title_full | Quantum state tomography, entanglement detection and Bell violation prospects in weak decays of massive particles |
| title_fullStr | Quantum state tomography, entanglement detection and Bell violation prospects in weak decays of massive particles |
| title_full_unstemmed | Quantum state tomography, entanglement detection and Bell violation prospects in weak decays of massive particles |
| title_short | Quantum state tomography, entanglement detection and Bell violation prospects in weak decays of massive particles |
| title_sort | quantum state tomography entanglement detection and bell violation prospects in weak decays of massive particles |
| topic | Quantum Groups Electroweak Precision Physics Higgs Properties |
| url | https://doi.org/10.1007/JHEP05(2023)020 |
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