Zobrazeno 1 - 10
of 513
pro vyhledávání: '"Longo, Roberto"'
Autor:
Longo, Roberto
Let B be a spacetime region of width 2R > 0, and \phi a vector state localized in B. We show that the vacuum relative entropy of \phi, on the local von Neumann algebra of B, is bounded by 2\pi R-times the energy of the state \phi in B. This bound is
Externí odkaz:
http://arxiv.org/abs/2409.14408
Autor:
Benedetti, Valentin, Casini, Horacio, Kawahigashi, Yasuyuki, Longo, Roberto, Magan, Javier M.
We review the physical meaning of modular invariance for unitary conformal quantum field theories in d=2. For QFT models, while T invariance is necessary for locality, S invariance is not mandatory. S invariance is a form of completeness of the theor
Externí odkaz:
http://arxiv.org/abs/2408.04011
Autor:
Longo, Roberto, Morinelli, Vincenzo
Let $H$ be a local net of real Hilbert subspaces of a complex Hilbert space on the family of double cones of the spacetime $\mathbb{R}^{d+1}$, covariant with respect to a positive energy, unitary representation $U$ of the Poincar\'e group, with the B
Externí odkaz:
http://arxiv.org/abs/2401.02345
Autor:
Longo, Roberto
We propose a conceptual frame to interpret the prolate differential operator, which appears in Communication Theory, as an entropy operator; indeed, we write its expectation values as a sum of terms, each subject to an entropy reading by an embedding
Externí odkaz:
http://arxiv.org/abs/2302.13842
We describe an algebra of observables for a static patch in de Sitter space, with operators gravitationally dressed to the worldline of an observer. The algebra is a von Neumann algebra of Type II$_1$. There is a natural notion of entropy for a state
Externí odkaz:
http://arxiv.org/abs/2206.10780
All causal Lie products of solutions of the Klein-Gordon equation and the wave equation in Minkowski space are determined. The results shed light on the origin of the algebraic structures underlying quantum field theory.
Comment: 7 pages, 1 figu
Comment: 7 pages, 1 figu
Externí odkaz:
http://arxiv.org/abs/2204.00225
Autor:
Longo, Roberto, Witten, Edward
Von Neumann entropy has a natural extension to the case of an arbitrary semifinite von Neumann algebra, as was considered by I. E. Segal. We relate this entropy to the relative entropy and show that the entropy increase for an inclusion of von Neuman
Externí odkaz:
http://arxiv.org/abs/2202.03357
Autor:
Longo, Roberto
Publikováno v:
Commun. Math. Phys. 392, 145-183 (2022)
We study the modular Hamiltonian associated with a Gaussian state on the Weyl algebra. We obtain necessary/sufficient criteria for the local equivalence of Gaussian states, independently of the classical results by Araki and Yamagami, Van Daele, Hole
Externí odkaz:
http://arxiv.org/abs/2111.11266
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:
Longo, Roberto, Morsella, Gerardo
We compute the vacuum local modular Hamiltonian associated with a space ball region in the free scalar massless Quantum Field Theory. We give an explicit expression on the one particle Hilbert space in terms of the higher dimensional Legendre differe
Externí odkaz:
http://arxiv.org/abs/2012.00565