Superselection rules and bosonic quantum computational resources

• URL: http://arxiv.org/abs/2407.03138v2
• Date: Sun, 13 Oct 2024 08:33:20 GMT
• Title: Superselection rules and bosonic quantum computational resources
• Authors: Eloi Descamps, Nicolas Fabre, Astghik Saharyan, Arne Keller, Pérola Milman,
• Abstract summary: We identify and classify quantum optical non-classical states as classical/non-classical based on the resources they create on a bosonic quantum computer. Our work contributes to establish a seamless transition from continuous to discrete properties of quantum optics.
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• Abstract: 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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