Hamiltonian purification

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Dec 2015Embargo end date: 01 Jan 2014 Italy English Publisher:AIP PublishingJournal:Journal of Mathematical Physics, volume 56 (issn: 0022-2488, eissn: 1089-7658,

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Authors: Davide Orsucci; Daniel Burgarth; Paolo Facchi; Hiromichi Nakazato; Saverio Pascazio; Kazuya Yuasa; Vittorio Giovannetti;

doi: 10.1063/1.4936311 , 10.48550/arxiv.1411.0316

arXiv: 1411.0316

handle: 11384/73944 , 11586/149402

Hamiltonian purification

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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 non-commuting 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.

Country

Italy

Related Organizations

National Institute for Nuclear Physics
Italy
Italian National Institute of Nuclear Physics
Italy
University of Bari Aldo Moro
Italy
Waseda University
Japan
Aberystwyth University
United Kingdom

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Keywords

Quantum Physics, FOS: Physical sciences, Mathematical Physics (math-ph), commuting Hamiltonians, Quantum information, communication, networks (quantum-theoretic aspects), Quantum computation, Statistical and Nonlinear Physics; Mathematical Physics, state purification, Quantum Physics (quant-ph), Mathematical Physics, Statistical and Nonlinear Physic

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