No-go theorems for photon state transformations in quantum linear optics
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866910786304081920 |
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| author | Parellada, Pablo V. Garcia, Vicent Gimeno i Moyano-Fernández, Julio-José Garcia-Escartin, Juan Carlos |
| author_facet | Parellada, Pablo V. Garcia, Vicent Gimeno i Moyano-Fernández, Julio-José Garcia-Escartin, Juan Carlos |
| contents | 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). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_11478 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | No-go theorems for photon state transformations in quantum linear optics Parellada, Pablo V. Garcia, Vicent Gimeno i Moyano-Fernández, Julio-José Garcia-Escartin, Juan Carlos Quantum Physics Mathematical Physics Optics 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). |
| title | No-go theorems for photon state transformations in quantum linear optics |
| topic | Quantum Physics Mathematical Physics Optics |
| url | https://arxiv.org/abs/2307.11478 |