Superselection rules and bosonic quantum computational resources - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2024

Superselection rules and bosonic quantum computational resources

Eloi Descamps
  • Fonction : Auteur
Nicolas Fabre
  • Fonction : Auteur
Astghik Saharyan
  • Fonction : Auteur
Arne Keller
  • Fonction : Auteur

Résumé

We present a method to systematically identify and classify quantum optical non-classical states as classical/non-classical based on the resources they create on a bosonic quantum computer. This is achieved by converting arbitrary bosonic states into multiple modes, each occupied by a single photon, thereby defining qubits of a bosonic quantum computer. Starting from a bosonic classical-like state in a representation that explicitly respects particle number super-selection rules, we apply universal gates to create arbitrary superpositions of states with the same total particle number. The non-classicality of the corresponding states can then be associated to the operations they induce in the quantum computer. We also provide a correspondence between the adopted representation and the more conventional one in quantum optics, where superpositions of Fock states describe quantum optical states, and we identify how multi-mode states can lead to quantum advantage. Our work contributes to establish a seamless transition from continuous to discrete properties of quantum optics while laying the grounds for a description of non-classicality and quantum computational advantage that is applicable to spin systems as well.
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Dates et versions

hal-04786835 , version 1 (16-11-2024)

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Eloi Descamps, Nicolas Fabre, Astghik Saharyan, Arne Keller, Pérola Milman. Superselection rules and bosonic quantum computational resources. 2024. ⟨hal-04786835⟩
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