Results 41 to 50 of about 64,232 (230)

Numerical radius inequalities for tensor product of operators [PDF]

Proceedings - Mathematical Sciences, 2022
The two well-known numerical radius inequalities for the tensor product $$A \otimes B$$ A ⊗ B acting on $${\mathbb {H}} \otimes {\mathbb {K}}$$ H ⊗ K , where A and B are bounded linear operators defined on complex Hilbert spaces $${\mathbb {H}} $$ H and $
Anirban Sen, Pintu Bhunia, K. Paul
semanticscholar   +1 more source

Efficient and flexible approach to simulate low-dimensional quantum lattice models with large local Hilbert spaces

SciPost Physics, 2021
Quantum lattice models with large local Hilbert spaces emerge across various fields in quantum many-body physics. Problems such as the interplay between fermions and phonons, the BCS-BEC crossover of interacting bosons, or decoherence in quantum ...
Thomas Köhler, Jan Stolpp, Sebastian Paeckel
doaj   +1 more source

Multi-boundary entanglement in Chern-Simons theory with finite gauge groups

Journal of High Energy Physics, 2020
We study the multi-boundary entanglement structure of the states prepared in (1+1) and (2+1) dimensional Chern-Simons theory with finite discrete gauge group G.
Siddharth Dwivedi, Andrea Addazi, Yang Zhou, Puneet Sharma   +3 more
doaj   +1 more source

Structure of k-Quasi-m,n-Isosymmetric Operators

Journal of Mathematics, 2022
The investigation of new operators belonging to some specific classes has been quite fashionable since the beginning of the century, and sometimes it is indeed relevant.
Sid Ahmed Ould Ahmed Mahmoud, El Moctar Ould Beiba, Sidi Hamidou Jah, Maawiya Ould Sidi   +3 more
doaj   +1 more source

The smallest interacting universe

Journal of High Energy Physics, 2023
We study a mechanism by which the most basic structures of quantum physics can emerge from the most meager of starting points, a Hilbert space, lacking any preassigned structure such as a tensor decomposition, and a loss function.
Modjtaba Shokrian Zini, Adam R. Brown, Michael Freedman   +2 more
doaj   +1 more source

Khatri-Rao Products for Operator Matrices Acting on the Direct Sum of Hilbert Spaces

Journal of Mathematics, 2016
We introduce the notion of Khatri-Rao product for operator matrices acting on the direct sum of Hilbert spaces. This notion generalizes the tensor product and Hadamard product of operators and the Khatri-Rao product of matrices.
Arnon Ploymukda, Pattrawut Chansangiam
doaj   +1 more source

Reduced density matrix and entanglement of interacting quantum field theories with Hamiltonian truncation

Physical Review Research, 2022
Entanglement is the fundamental difference between classical and quantum systems and has become one of the guiding principles in the exploration of high- and low-energy physics.
Patrick Emonts, Ivan Kukuljan
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

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
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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
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