Hamiltonian purification

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

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)
178 Downloads (Pure)

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
Original languageEnglish
Pages (from-to)122104
JournalJournal of Mathematical Physics
Volume56
Issue number12
DOIs
Publication statusPublished - 01 Dec 2015

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