Results 31 to 40 of about 60,391 (204)
Journal of Inequalities and Applications, 2019 To construct dual frames with good structure for a given frame is a fundamental problem in the theory of frames. The tensor product duals of tensor product frames can provide a rank-one decomposition of bounded antilinear operators between two Hilbert ...
Ya-Hui Wang, Yun-Zhang Li
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Dimensionality Reduction with Variational Encoders Based on Subsystem Purification
Mathematics, 2023 Efficient methods for encoding and compression are likely to pave the way toward the problem of efficient trainability on higher-dimensional Hilbert spaces, overcoming issues of barren plateaus.
Raja Selvarajan +3 more
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Bipartite Mixed States of Infinite-Dimensional Systems are Generically Nonseparable [PDF]
, 1999 Given a bipartite quantum system represented by a tensor product of two Hilbert spaces, we give an elementary argument showing that if either component space is infinite-dimensional, then the set of nonseparable density operators is trace-norm dense in ...
A. Peres +26 more
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Product of random states and spatial (half-)wormholes
Journal of High Energy Physics, 2021 We study how coarse-graining procedure of an underlying UV-complete quantum gravity gives rise to a connected geometry. It has been shown, quantum entanglement plays a key role in the emergence of such a geometric structure, namely a smooth Einstein ...
Kanato Goto +3 more
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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
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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 +3 more
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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 +3 more
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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 +2 more
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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
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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
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