Zobrazeno 1 - 10
of 49 569
pro vyhledávání: '"Bures"'
Within the AdS/CFT correspondence, computational complexity for reduced density matrices of holographic conformal field theories has been conjectured to be related to certain geometric observables in the dual gravity theory. We study this conjecture
Externí odkaz:
http://arxiv.org/abs/2412.08707
Autor:
Holevo, A. S.
The aim of the present note is to show that the method of our paper ArXiv:2408.11400 with minor extra efforts can be extended to obtain upper bounds for the Bures distance between quantum Gaussian states. We argue that these bounds are better adapted
Externí odkaz:
http://arxiv.org/abs/2412.04875
Autor:
Afham, A., Ferrie, Chris
We introduce a family of fidelities, termed generalized fidelity, which are based on the Riemannian geometry of the Bures-Wasserstein manifold. We show that this family of fidelities generalizes standard quantum fidelities such as Uhlmann-, Holevo-,
Externí odkaz:
http://arxiv.org/abs/2410.04937
Optimization in the Bures-Wasserstein space has been gaining popularity in the machine learning community since it draws connections between variational inference and Wasserstein gradient flows. The variational inference objective function of Kullbac
Externí odkaz:
http://arxiv.org/abs/2410.02490
We prove the large deviations principle for empirical Bures-Wasserstein barycenters of independent, identically-distributed samples of covariance matrices and covariance operators. As an application, we explore some consequences of our results for th
Externí odkaz:
http://arxiv.org/abs/2409.11384
Autor:
Diósi, Lajos
We show that the minimum entropy production in near-reversible quantum state transport along a path is a simple function of the path length measured according to the Fisher--Bures metrics. Consequently, the minimum entropy production along a geodesic
Externí odkaz:
http://arxiv.org/abs/2410.04307
We prove that the topology on the density space with respect to a unital C*-algebra and a faithful induced by the C*-norm is finer than the Bures metric topology. We also provide an example when this containment is strict. Next, we provide a metric o
Externí odkaz:
http://arxiv.org/abs/2406.07219
Autor:
Vít Zouhar
The book describes the creative relationship between the composer Bohuslav Martinů and the poet Miloslav Bureš. It explains their cooperation in the second half of the 1950s, the creation of the cantatas Opening of the Springs, Romance of Dandelion