Hamiltonian purification

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

doi:10.1063/1.4936311

Hamiltonian purification

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

Adran Mathemateg

Scuola Normale Superiore
University of Bari Aldo Moro
Waseda University

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

7 Dyfyniadau (Scopus)

216 Wedi eu Llwytho i Lawr (Pure)

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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 픲(d) are provided

Iaith wreiddiol	Saesneg
Tudalennau (o-i)	122104
Cyfnodolyn	Journal of Mathematical Physics
Cyfrol	56
Rhif cyhoeddi	12
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1063/1.4936311
Statws	Cyhoeddwyd - 01 Rhag 2015

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10.1063/1.4936311

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http://hdl.handle.net/2160/43901

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@article{e513759dbd9e45d68f69f4f11b9dc8ab,

title = "Hamiltonian purification",

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 픲(d) are provided",

author = "Davide Orsucci and Daniel Burgarth and Paolo Facchi and Hiromichi Nakazato and Saverio Pascazio and Kazuya Yuasa and Vittorio Giovannetti",

year = "2015",

month = dec,

day = "1",

doi = "10.1063/1.4936311",

language = "English",

volume = "56",

pages = "122104",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "American Institute of Physics",

number = "12",

}

TY - JOUR

T1 - Hamiltonian purification

AU - Orsucci, Davide

AU - Burgarth, Daniel

AU - Facchi, Paolo

AU - Nakazato, Hiromichi

AU - Pascazio, Saverio

AU - Yuasa, Kazuya

AU - Giovannetti, Vittorio

PY - 2015/12/1

Y1 - 2015/12/1

N2 - 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 픲(d) are provided

AB - 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 픲(d) are provided

UR - http://hdl.handle.net/2160/43901

U2 - 10.1063/1.4936311

DO - 10.1063/1.4936311

M3 - Article

SN - 0022-2488

VL - 56

SP - 122104

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 12

ER -

Hamiltonian purification

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