Results 21 to 30 of about 212,635 (101)
Synthesis of Logical Clifford Operators via Symplectic Geometry [PDF]
Quantum error-correcting codes can be used to protect qubits involved in quantum computation. This requires that logical operators acting on protected qubits be translated to physical operators (circuits) acting on physical quantum states.
Narayanan Rengaswamy+3 more
semanticscholar +1 more source
Symplectic geometry and connectivity of spaces of frames [PDF]
Frames provide redundant, stable representations of data which have important applications in signal processing. We introduce a connection between symplectic geometry and frame theory and show that many important classes of frames have natural symplectic
Tom Needham, C. Shonkwiler
semanticscholar +1 more source
Coisotropic Branes, Noncommutativity, and the Mirror Correspondence
We study coisotropic A-branes in the sigma model on a four-torus by explicitly constructing examples. We find that morphisms between coisotropic branes can be equated with a fundamental representation of the noncommutatively deformed algebra of functions
A. Kapustin+11 more
core +1 more source
Derived Stacks in Symplectic Geometry [PDF]
This is a survey paper on derived symplectic geometry, that will appear as a chapter contribution to the book "New Spaces for Mathematics and Physics", edited by Mathieu Anel and Gabriel Catren.
D. Calaque
semanticscholar +1 more source
Enumerative invariants of stongly semipositive real symplectic six-manifolds [PDF]
Following the approach of Gromov and Witten, we define invariants under deformation of stongly semipositive real symplectic six-manifolds. These invariants provide lower bounds in real enumerative geometry, namely for the number of real rational $J ...
Welschinger, Jean-Yves
core +3 more sources
Airy structures and symplectic geometry of topological recursion [PDF]
We propose a new approach to the topological recursion of Eynard-Orantin based on the notion of Airy structure, which we introduce in the paper. We explain why Airy structure is a more fundamental object than the one of the spectral curve. We explain how
M. Kontsevich, Y. Soibelman
semanticscholar +1 more source
Some Morse-type inequalities for symplectic manifolds [PDF]
Morse-type inequalities are given for the symplectic versions of the Bott-Chern and Aeppli cohomology groups defined by Tseng and Yau.
arxiv
A Note on Lagrangian Submanifolds in Symplectic $4m$-Manifolds [PDF]
This short paper shows a topological obstruction of the existence of certain Lagrangian submanifolds in symplectic $4m$-manifolds.
arxiv
Aiming at fault feature extraction of a hydraulic pump signal, a new method based on symplectic geometry mode decomposition (SGMD) and power spectral entropy (PSE) is proposed.
Zhijian Zheng, G. Xin
semanticscholar +1 more source
Symplectic Geometry and Spectral Properties of Classical and Quantum Coupled Angular Momenta [PDF]
We give a detailed study of the symplectic geometry of a family of integrable systems obtained by coupling two angular momenta in a non-trivial way. These systems depend on a parameter t∈[0,1]\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{
Yohann Le Floch, Á. Pelayo
semanticscholar +1 more source