No-go theorems for photon state transformations in quantum linear optics
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Other documents of the author: V. Parellada, Pablo; Gimeno i Garcia, Vicent; Moyano-Fernández, Julio José; Garcia-Escartin, Juan Carlos
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comunitat-uji-handle2:10234/173364
comunitat-uji-handle3:10234/173369
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Title
No-go theorems for photon state transformations in quantum linear opticsAuthor (s)
Date
2023Publisher
ElsevierISSN
2211-3797Bibliographic citation
PARELLADA, Pablo V., et al. No-go theorems for photon state transformations in quantum linear optics. Results in Physics, 2023, vol. 54: 107108Type
info:eu-repo/semantics/articlePublisher version
https://www.sciencedirect.com/science/article/pii/S2211379723009014Version
info:eu-repo/semantics/publishedVersionSubject
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 ... [+]
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 give 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 with an arbitrary ancilla from the Fock basis and (iii) a restriction for the conversion between different types of entanglement (converting GHZ to W states). These tools and results can help in the design of experiments for optical quantum state generation. [-]
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Results in Physics, 2023, vol. 54: 107108Funder Name
Unión Europea NextGenerationEU | Consejería de Educación, Junta de Castilla y León | Universitat Jaume I | Ministerio de Ciencia, Innovación y Universidades | El Fondo Europeo de Desarrollo Regional (FEDER) | Agencia Estatal de Investigación
Project code
PRTRC17.I1 | UJI-B2018-35 | PID2020-115930GA-I00 | AICO/2021/252 | TED2021-130358B-I00 | GACU- JIMA/2023/06 | PRTRC17.I1 | PID2020-119418GB-I00
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QCAYLE
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info:eu-repo/semantics/openAccess
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