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of 9
pro vyhledávání: '"Ranallo, Alessio"'
Two theorems with applications to the quantum theory of measurements are stated and proven. The first one clarifies and amends von Neumann's Measurement Postulate used in the Copenhagen interpretation of quantum mechanics. The second one clarifies th
Externí odkaz:
http://arxiv.org/abs/2312.00599
In this paper we study the low-lying spectrum of the AKLT model perturbed by small, finite-range potentials and with open boundary conditions imposed at the edges of the chain. Our analysis is based on the \emph{local, iterative Lie Schwinger block-d
Externí odkaz:
http://arxiv.org/abs/2308.02811
It is shown that, for a class of Hamiltonians of XXZ chains in an external magnetic field that are small perturbations of an Ising Hamiltonian, the spectral gap above the ground-state energy remains strictly positive when the perturbation is turned o
Externí odkaz:
http://arxiv.org/abs/2306.02772
Autor:
Hollands, Stefan, Ranallo, Alessio
We consider a notion of complexity of quantum channels in relativistic continuum quantum field theory (QFT) defined by the distance to the trivial (identity) channel. Our distance measure is based on a specific divergence between quantum channels der
Externí odkaz:
http://arxiv.org/abs/2302.10013
Publikováno v:
Quart. J. Math. 74 (2023) 975-1014
We show that conditional expectations, optimal hypotheses, disintegrations, and adjoints of unital completely positive maps, are all instances of Bayesian inverses. We study the existence of the latter by means of the Tomita-Takesaki modular group an
Externí odkaz:
http://arxiv.org/abs/2112.03129
Given any half-sided modular inclusion of standard subspaces, we show that the entropy function associated with the decreasing one-parameter family of translated standard subspaces is convex for any given (not necessarily smooth) vector in the underl
Externí odkaz:
http://arxiv.org/abs/2107.06787
Autor:
Hollands, Stefan1,2 (AUTHOR) stefan.hollands@uni-leipzig.de, Ranallo, Alessio3 (AUTHOR)
Publikováno v:
Communications in Mathematical Physics. Dec2023, Vol. 404 Issue 2, p927-962. 36p.
Publikováno v:
In Journal of Geometry and Physics February 2022 172
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