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.
Hamiltonian purification
ORSUCCI, DAVIDE;BURGARTH, DANIEL KLAUS;FACCHI, PAOLO;NAKAZATO, HIROMICHI;PASCAZIO, SAVERIO;Yuasa, Kazuya;Giovannetti, Vittorio
2015
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
