Hamiltonian purification

Davide Orsucci, Daniel Burgarth, Paolo Facchi, Hiromichi Nakazato, Saverio Pascazio, Kazuya Yuasa, Vittorio Giovannetti

    Research output: Contribution to journalArticle

    3 Citations (Scopus)

    Abstract

    The problem of Hamiltonian purification introduced by Burgarth et al. [Nat. Commun. 5, 5173 (2014)] is formalized and discussed. Specifically, given a set of noncommuting Hamiltonians {h1, . . . , hm} operating on a d-dimensional quantum system Hd, the problem consists in identifying a set of commuting Hamiltonians {H1, . . . ,Hm} operating on a larger dE-dimensional system HdE which embeds Hd as a proper subspace, such that hj = PHjP with P being the projection which allows one to recover Hd from HdE . The notions of spanning-set purification and generator purification of an algebra are also introduced and optimal solutions for u(d) are provided.

    Original languageEnglish
    Article number122104
    JournalJournal of Mathematical Physics
    Volume56
    Issue number12
    DOIs
    Publication statusPublished - 2015 Dec 1

    Fingerprint

    Purification
    purification
    Quantum Systems
    algebra
    generators
    Optimal Solution
    projection
    Subspace
    Projection
    Generator
    Algebra

    ASJC Scopus subject areas

    • Statistical and Nonlinear Physics
    • Mathematical Physics

    Cite this

    Orsucci, D., Burgarth, D., Facchi, P., Nakazato, H., Pascazio, S., Yuasa, K., & Giovannetti, V. (2015). Hamiltonian purification. Journal of Mathematical Physics, 56(12), [122104]. https://doi.org/10.1063/1.4936311

    Hamiltonian purification. / Orsucci, Davide; Burgarth, Daniel; Facchi, Paolo; Nakazato, Hiromichi; Pascazio, Saverio; Yuasa, Kazuya; Giovannetti, Vittorio.

    In: Journal of Mathematical Physics, Vol. 56, No. 12, 122104, 01.12.2015.

    Research output: Contribution to journalArticle

    Orsucci, D, Burgarth, D, Facchi, P, Nakazato, H, Pascazio, S, Yuasa, K & Giovannetti, V 2015, 'Hamiltonian purification', Journal of Mathematical Physics, vol. 56, no. 12, 122104. https://doi.org/10.1063/1.4936311
    Orsucci D, Burgarth D, Facchi P, Nakazato H, Pascazio S, Yuasa K et al. Hamiltonian purification. Journal of Mathematical Physics. 2015 Dec 1;56(12). 122104. https://doi.org/10.1063/1.4936311
    Orsucci, Davide ; Burgarth, Daniel ; Facchi, Paolo ; Nakazato, Hiromichi ; Pascazio, Saverio ; Yuasa, Kazuya ; Giovannetti, Vittorio. / Hamiltonian purification. In: Journal of Mathematical Physics. 2015 ; Vol. 56, No. 12.
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