Zobrazeno 1 - 10
of 189
pro vyhledávání: '"Werner, Reinhard F"'
We develop the theory of local operations and classical communication (LOCC) for bipartite quantum systems represented by commuting von Neumann algebras. Our central result is the extension of Nielsen's Theorem to arbitrary factors. As in the matrix
Externí odkaz:
http://arxiv.org/abs/2409.17739
We consider the quantum dynamics of a particle on a lattice for large times. Assuming translation invariance, and either discrete or continuous time parameter, the distribution of the ballistically scaled position $Q(t)/t$ converges weakly to a distr
Externí odkaz:
http://arxiv.org/abs/2408.02108
We investigate Wiener's Tauberian theorem from the perspective of limit functions, which results in several new versions of the Tauberian theorem. Based on this, we formulate and prove analogous Tauberian theorems for operators in the sense of quantu
Externí odkaz:
http://arxiv.org/abs/2405.08678
We study the quantum information theoretic task of embezzlement of entanglement in the setting of von Neumann algebras. Given a shared entangled resource state, this task asks to produce arbitrary entangled states using local operations without commu
Externí odkaz:
http://arxiv.org/abs/2401.07299
Embezzlement of entanglement refers to the counterintuitive possibility of extracting entangled quantum states from a reference state of an auxiliary system (the "embezzler") via local quantum operations while hardly perturbing the latter. We uncover
Externí odkaz:
http://arxiv.org/abs/2401.07292
Publikováno v:
Commun. Math. Phys. 405, 152 (2024)
In quantum information theory, the Schmidt rank is a fundamental measure for the entanglement dimension of a pure bipartite state. Its natural definition uses the Schmidt decomposition of vectors on bipartite Hilbert spaces, which does not exist (or
Externí odkaz:
http://arxiv.org/abs/2307.11619
Publikováno v:
Annales Henri Poincar\'e (2024)
Many features of physical systems, both qualitative and quantitative, become sharply defined or tractable only in some limiting situation. Examples are phase transitions in the thermodynamic limit, the emergence of classical mechanics from quantum th
Externí odkaz:
http://arxiv.org/abs/2306.16063
Publikováno v:
Quantum 7, 1166 (2023)
Catalysts are quantum systems that open up dynamical pathways between quantum states which are otherwise inaccessible under a given set of operational restrictions while, at the same time, they do not change their quantum state. We here consider the
Externí odkaz:
http://arxiv.org/abs/2301.09877
Autor:
Dammeier, Lars, Werner, Reinhard F.
Publikováno v:
Quantum 7, 1068 (2023)
We study continuous variable systems, in which quantum and classical degrees of freedom are combined and treated on the same footing. Thus all systems, including the inputs or outputs to a channel, may be quantum-classical hybrids. This allows a unif
Externí odkaz:
http://arxiv.org/abs/2208.05020
Publikováno v:
Journal of Functional Analysis, Volume 284, Issue 4, 2023
We prove a new criterion that guarantees self-adjointness of Toeplitz operator with unbounded operator-valued symbols. Our criterion applies, in particular, to symbols with Lipschitz continuous derivatives, which is the natural class of Hamiltonian f
Externí odkaz:
http://arxiv.org/abs/2202.04687