Moment methods on compact groups: Weingarten calculus and its applications
From MaRDI portal
Publication:6119189
DOI10.4171/icm2022/114arXiv2207.08418OpenAlexW4389775561MaRDI QIDQ6119189
Publication date: 22 March 2024
Published in: International Congress of Mathematicians (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.08418
quantum groupsquantum information theorySchur-Weyl dualityasymptotic freenessrandom tensorsnorm estimatesWeingarten calculusHaar measure on compact groups
Harmonic analysis on specific compact groups (43A75) Moment problems (44A60) Quantum groups (quantized function algebras) and their representations (20G42) Quantum groups (operator algebraic aspects) (46L67)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Polynomiality of monotone Hurwitz numbers in higher genera
- Monotone Hurwitz numbers and the HCIZ integral
- Free probability and random matrices
- Gaussianization and eigenvalue statistics for random quantum channels. III
- Stochastic aspects of easy quantum groups
- The spectral edge of unitary Brownian motion
- Eigenvectors and eigenvalues in a random subspace of a tensor product
- Integration over quantum permutation groups
- Integration with respect to the Haar measure on unitary, orthogonal and symplectic group
- Integration over the Pauli quantum group
- Random quantum channels. I: Graphical calculus and the Bell state phenomenon
- Compact matrix pseudogroups
- Tannaka-Krein duality for compact matrix pseudogroups. Twisted SU(N) groups
- Representations of symmetric groups and free probability
- Combinatorial properties of Brownian motion on the compact classical groups
- The free compact quantum group \(U(n)\)
- Dual bases in Temperley-Lieb algebras, quantum groups, and a question of Jones
- Semiclassical asymptotics of \(\mathrm {GL}_N(\mathbb C)\) tensor products and quantum random matrices
- A new proof of Harish-Chandra's integral formula
- Free products of compact quantum groups
- Representations of unitary groups and free convolution
- Matrix group integrals, surfaces, and mapping class groups. I. \(\mathrm{U}(\mathrm{n})\)
- Eigenvalues of random lifts and polynomials of random permutation matrices
- Connections between conjectures of Alon-Tarsi, Hadamard-Howe, and integrals over the special unitary group
- Second order freeness and fluctuations of random matrices. III: Higher order freeness and free cumulants
- Matrix product states, random matrix theory and the principle of maximum entropy
- Asymptotics of unitary and orthogonal matrix integrals
- Borel theorems for random matrices from the classical compact symmetric spaces
- On polynomial integrals over the orthogonal group
- Integration over compact quantum groups
- Schur-Weyl duality and the heat kernel measure on the unitary group
- A new application of random matrices: \(\operatorname{Ext} (C_{\text{red}}^*(F_2))\) is not a group
- Counterexamples to the maximal \(p\)-norm multiplicativity conjecture for all \(p>1\)
- Almost one bit violation for the additivity of the minimum output entropy
- Random matrix techniques in quantum information theory
- Area law for random graph states
- WEINGARTEN CALCULUS FOR MATRIX ENSEMBLES ASSOCIATED WITH COMPACT SYMMETRIC SPACES
- Monotone Hurwitz Numbers in Genus Zero
- THE ABSOLUTE POSITIVE PARTIAL TRANSPOSE PROPERTY FOR RANDOM INDUCED STATES
- Free Bessel Laws
- The PPT square conjecture holds generically for some classes of independent states
- Free Random Variables
- Differential Operators on a Semisimple Lie Algebra
- Lectures on the Combinatorics of Free Probability
- On some properties of orthogonal Weingarten functions
- Symmetry, Representations, and Invariants
- Representations of Lie groups and random matrices
- Asymptotic behavior of group integrals in the limit of infinite rank
- On the Eigenvalues of Random Matrices
- Random and Free Positive Maps with Applications to Entanglement Detection
- Free probability for purely discrete eigenvalues of random matrices
- Jucys–Murphy Elements and Unitary Matrix Integrals
- On the convergence of output sets of quantum channels
- Diagrammatic method of integration over the unitary group, with applications to quantum transport in mesoscopic systems
- Weingarten calculus via orthogonality relations: new applications
- The strong asymptotic freeness of Haar and deterministic matrices
This page was built for publication: Moment methods on compact groups: Weingarten calculus and its applications