Yes / Coherent spaces spanned by a nite number of coherent states, are introduced. Their coherence
properties are studied, using the Dirac contour representation. It is shown that the corresponding
projectors resolve the identity, and that they transform into projectors of the same type, under
displacement transformations, and also under time evolution. The set of these spaces, with the
logical OR and AND operations is a distributive lattice, and with the logical XOR and AND
operations is a Boolean ring (Stone's formalism). Applications of this Boolean ring into classical
CNOT gates with n-ary variables, and also quantum CNOT gates with coherent states, are discussed.
| Identifer | oai:union.ndltd.org:BRADFORD/oai:bradscholars.brad.ac.uk:10454/8775 |
| Date | 26 July 2016 |
| Creators | Vourdas, Apostolos |
| Source Sets | Bradford Scholars |
| Language | English |
| Detected Language | English |
| Type | Article, Accepted Manuscript |
| Rights | (c) 2016 Elsevier, Inc. Reproduced in accordance with the publisher's self-archiving policy. This manuscript version is made available under the CC-BY-NC-ND 4.0 license (http://creativecommons.org/licenses/by-nc-nd/4.0/). |
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