Zobrazeno 1 - 10
of 630
pro vyhledávání: '"P. van Luijk"'
Autor:
Fulsche, Robert, van Luijk, Lauritz
Cordes' characterization of Heisenberg-smooth operators bridges a gap between the theory of pseudo-differential operators and quantum harmonic analysis (QHA). We give a new proof of the result by using the phase space formalism of QHA. Our argument i
Externí odkaz:
http://arxiv.org/abs/2410.00458
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
Embezzlement of entanglement refers to the task of extracting entanglement from an entanglement resource via local operations and without communication while perturbing the resource arbitrarily little. Recently, the existence of embezzling states of
Externí odkaz:
http://arxiv.org/abs/2409.07646
We study convergence rates of the Trotter-Kato splitting $e^{A+L} = \lim_{n \to \infty} (e^{L/n} e^{A/n})^n$ in the strong operator topology. In the first part, we use complex interpolation theory to treat generators $L$ and $A$ of contraction semigr
Externí odkaz:
http://arxiv.org/abs/2407.04045
Universal embezzlers are bipartite quantum systems from which any entangled state may be extracted to arbitrary precision using local operations while perturbing the state of the system arbitrarily little. Here, we show that universal embezzlers are
Externí odkaz:
http://arxiv.org/abs/2406.11747
Autor:
van Luijk, Lauritz
We consider quantum systems with energy constraints. In general, quantum channels and continuous-time dynamics need not satisfy energy conservation. Physically meaningful channels, however, can only introduce a finite amount of energy to the system,
Externí odkaz:
http://arxiv.org/abs/2405.10259
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