Disclosing Quantum Contextuality: A Geometric Approach to N-Qubit Configurations - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2023

Disclosing Quantum Contextuality: A Geometric Approach to N-Qubit Configurations

Résumé

In the intriguing realm of quantum physics, the concept of contextuality raises interesting questions about the nature of quantum systems. Since the commutation relation in the N-qubits Pauli group corresponds to the colinearity relation in the symplectic polar space W(2N − 1, 2), we study subgeometries of this space in order to discover new contextual quantum configurations. We have developed algorithms and a corresponding software in C language, that can effectively determine quantum contextuality and quantify it, by charting these symplectic polar spaces of various ranks. This tool allowed us to uncover new insights that go beyond the achievements of earlier work, such as that of de Boutray et al (J. Phys. A: Math. Theor. 55 475301, 2022). Our study spans across these geometric structures of ranks from two to seven, offering significant findings. In my talk I will explicitly illustrate the concept of quantum contextuality on certain wellknown finite-geometric configurations living in W(5,2), like the doily (and its two-spread), an elliptic quadric (and its spread of lines) and a hyperbolic quadric (and its associated Heawood graph); I will also consider configurations whose contexts are all the subspaces with a given dimension k < N.
09103445-a8b1-4565-bc9b-d6dffd4db6ec-author.pdf (637.58 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04390495 , version 1 (12-01-2024)

Identifiants

  • HAL Id : hal-04390495 , version 1

Citer

Axel Muller, Metod Saniga, Alain Giorgetti, Henri de Boutray, Frédéric Holweck. Disclosing Quantum Contextuality: A Geometric Approach to N-Qubit Configurations. Slovenian Conference on Graph Theory, Jun 2023, Kranjska Gora, Slovenia. ⟨hal-04390495⟩
24 Consultations
7 Téléchargements

Partager

Gmail Facebook X LinkedIn More