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    Exterior calculus and fermionic quantum computation

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    Vourdas_Journal_of_Physics_A.pdf (341.4Kb)
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    Publication date
    2018-10
    Author
    Vourdas, Apostolos
    Keyword
    Exterior calculus
    Fermionic quantum computation
    Fermionic gates
    Boolean gates
    Multi-qubit systems
    Rights
    This is an author-created, un-copyedited version of an article published in Journal of Physics A: Mathematical and Theoretical. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at https://doi.org/10.1088/1751-8121/aae2c4
    Peer-Reviewed
    Yes
    
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    Abstract
    Exterior calculus with its three operations meet, join and hodge star complement, is used for the representation of fermion-hole systems and for fermionic analogues of logical gates. Two different schemes that implement fermionic quantum computation, are proposed. The first scheme compares fermionic gates with Boolean gates, and leads to novel electronic devices that simulate fermionic gates. The second scheme uses a well known map between fermionic and multi-qubit systems, to simulate fermionic gates within multi-qubit systems.
    URI
    http://hdl.handle.net/10454/16618
    Version
    Accepted Manuscript
    Citation
    Vourdas A (2018) Exterior calculus and fermionic quantum computation. Journal of Physics A: Mathematical and Theoretical. 51(44): 445301.
    Link to publisher’s version
    https://doi.org/10.1088/1751-8121/aae2c4
    Type
    Article
    Collections
    Engineering and Informatics Publications

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