No-go theorems for photon state transformations in quantum linear optics

• URL: http://arxiv.org/abs/2307.11478v2
• Date: Thu, 9 Nov 2023 14:49:07 GMT
• Title: No-go theorems for photon state transformations in quantum linear optics
• Authors: Pablo V. Parellada, Vicent Gimeno i Garcia, Julio-Jos\'e Moyano-Fern\'andez, Juan Carlos Garcia-Escartin
• Abstract summary: We find a conserved quantity that appears in all allowed optical transformations. We comment some examples and numerical applications, with example code, and give three general no-go results.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We give a necessary condition for photon state transformations in linear optical setups preserving the total number of photons. From an analysis of the algebra describing the quantum evolution, we find a conserved quantity that appears in all allowed optical transformations. We comment some examples and numerical applications, with example code, and give three general no-go results. These include (i) the impossibility of deterministic transformations which redistribute the photons from one to two different modes, (ii) a proof that it is impossible to generate a perfect Bell state in heralded schemes with a separable input for any number of ancillary photons and modes and a fixed herald and (iii) a restriction for the conversion between different types of entanglement (converting GHZ to W states).

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