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Entanglement as an operational symmetry
Rochester Conference on Coherence and Quantum Optics (CQO-11), 2019The ability to replicate operations on one subsystem using operations on distant subsystems is a quintessential feature of entanglement. We formalize this notion and classify the states for which it holds to shed light on quantum and classical entanglement. This leads to an operational method for quantifying the entanglement in a quantum state.
Aaron Z. Goldberg +2 more
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Symmetry operators for Riemann’s method
Journal of Mathematical Physics, 2004Riemann’s method is one of the definitive ways of solving Cauchy’s problem for a second order linear hyperbolic partial differential equation in 2 variables. Chaundy’s equation, with 4 parameters, is the most general self-adjoint equation for which the Riemann function is known.
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Representation of Discrete Symmetry Operators
Journal of Mathematical Physics, 1966Representations of discrete symmetry operators (DSO's) connected with space (𝒫), time (T), and generalized charge (𝒞) are considered. It is shown that if one writes a DSO as exp (iπΩ) × a phase transformation, then (under certain conditions on Ωs) to each DSO there corresponds a set of Ωs which is closed with respect a Lie algebra, which is isomorphic ...
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Linear Operators with Symmetries
1992We now proceed to considerations that are of great importance for the applications. If a problem has a certain symmetry, that is, if it is invariant under a certain set of symmetry operations1, then it cam be considerably simplified and is often solvable only by exploiting this symmetry. The study of these symmetries may lead to new theoretic findings.
Albert Fässler, Eduard Stiefel
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Complex Symmetry of Toeplitz Operators over the Bidisk
Acta Mathematica Scientia, 2023Maofa Wang, Kaikai Han
exaly

