Results 41 to 50 of about 62,388 (221)

Extended quantum conditional entropy and quantum uncertainty inequalities [PDF]

, 2012
Quantum states can be subjected to classical measurements, whose incompatibility, or uncertainty, can be quantified by a comparison of certain entropies. There is a long history of such entropy inequalities between position and momentum.
C. Davis, D. Deutsch, E.H. Lieb, E.H. Lieb, Elliott H. Lieb, G. Lindblad, H. Maassen, I.I. Hirschman Jr, J.M. Renes, K. Kraus, M. Berta, M. Rumin, M. Tomamichel, M.J.W. Hall, P.J. Coles, P.J. Coles, R.L. Frank, Rupert L. Frank, S. Wehner   +18 more
core   +3 more sources

States of quantum systems and their liftings

, 2000
Let H(1), H(2) be complex Hilbert spaces, H be their Hilbert tensor product and let tr2 be the operator of taking the partial trace of trace class operators in H with respect to the space H(2). The operation tr2 maps states in H (i.e.
Accardi, Albeverio, Belavkin, Favre, Gleason, Guz, Joachim Kupsch, Kupsch, Nadejda A. Sidorova, Oleg G. Smolyanov   +9 more
core   +1 more source

Tractability of Tensor Product Linear Operators in Weighted Hilbert Spaces [PDF]

gmj, 2001
Abstract We study tractability in the worst case setting of tensor product linear operators defined over weighted tensor product Hilbert spaces. Tractability means that the minimal number of evaluations needed to reduce the initial error by a factor of ε in the d-dimensional case has a polynomial bound in both ε –1 and ...
openaire   +2 more sources

Fermionic tensor network methods

SciPost Physics
We show how fermionic statistics can be naturally incorporated in tensor networks on arbitrary graphs through the use of graded Hilbert spaces. This formalism allows the use of tensor network methods for fermionic lattice systems in a local way, avoiding
Quinten Mortier, Lukas Devos, Lander Burgelman, Bram Vanhecke, Nick Bultinck, Frank Verstraete, Jutho Haegeman, Laurens Vanderstraeten
doaj   +1 more source

Entangled subspaces and quantum symmetries [PDF]

, 2004
Entanglement is defined for each vector subspace of the tensor product of two finite-dimensional Hilbert spaces, by applying the notion of operator entanglement to the projection operator onto that subspace.
Bracken, A. J.
core   +1 more source

Information-theoretical formulation of anyonic entanglement

, 2014
Anyonic systems are modeled by topologically protected Hilbert spaces which obey complex superselection rules restricting possible operations. These Hilbert spaces cannot be decomposed into tensor products of spatially localized subsystems, whereas the ...
Furrer, Fabian, Kato, Kohtaro, Murao, Mio   +2 more
core   +1 more source

Patterning the Void: Combining L‐Systems with Archimedean Tessellations as a Perspective for Tissue Engineering Scaffolds

Advanced Functional Materials, EarlyView.
This study introduces a novel multi‐scale scaffold design using L‐fractals arranged in Archimedean tessellations for tissue regeneration. Despite similar porosity, tiles display vastly different tensile responses (1–100 MPa) and deformation modes. In vitro experiments with hMSCs show geometry‐dependent growth and activity. Over 55 000 tile combinations
Maria Kalogeropoulou, Kenny A. van Kampen, Pierpaolo Fucile, Carlos Mota, Lorenzo Moroni   +4 more
wiley   +1 more source

Notes on the factorisation of the Hilbert space for two-sided black holes in higher dimensions

Journal of High Energy Physics
In this paper, we investigate the Hilbert space factorisation problem of two-sided black holes in high dimensions. We demonstrate that the Hilbert space of two-sided black holes can be factorized into the tensor product of two one-sided bulk Hilbert ...
Pan Li
doaj   +1 more source

A new class of entanglement measures

, 2001
We introduce new entanglement measures on the set of density operators on tensor product Hilbert spaces. These measures are based on the greatest cross norm on the tensor product of the sets of trace class operators on Hilbert space.
Bennett C. H., Bennett C. H., Horodecki M., Horodecki M., Oliver Rudolph, Plenio M. B., Rudolph O., Rudolph O., Vedral V., Vedral V.   +9 more
core   +1 more source

A Virtual Clinical Trial of Psychedelics to Treat Patients With Disorders of Consciousness

Advanced Science, EarlyView.
Disorders of consciousness after severe brain injury are marked by reduced complexity of brain activity and limited treatment options. Using personalized whole‐brain models, this study shows that simulated lysergic acid diethylamide (LSD) and psilocybin shift patient brain dynamics closer to criticality.
Naji L.N. Alnagger, Paolo Cardone, Charlotte Martial, Yonatan Sanz Perl, Iván Mindlin, Jacobo D Sitt, Leor Roseman, Robin Carhart‐Harris, David Nutt, Pablo Mallaroni, Natasha Mason, Johannes G Ramaekers, Vincent Bonhomme, Steven Laureys, Gustavo Deco, Olivia Gosseries, Pablo Núñez, Jitka Annen   +17 more
wiley   +1 more source