- Direct dialling of Haar random unitary matrices
2015/06/30 by Nicholas J Russell, Nicholas J. Russell, Levon Chakhmakhchyan +3 · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Boson #Circular ensemble #Haar measure #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum many-body systems #Random matrix #Representation (politics) #Unitary matrix #Unitary representation #Unitary state #math-ph #math.MP #quant-ph
- Evenly distributed unitaries: On the structure of unitary designs
2006/11/30 by D. Gross, Katrien Audenaert, K. Audenaert +2 · 6 citations
Decision Sciences · Engineering · Materials Science · Mathematics · Physics and Astronomy · #Algebra over a field #Algorithm #Cardinality (data modeling) #Character (mathematics) #Circular ensemble #Combinatorics #Computer science #Discrete mathematics #Geometry #Mathematical analysis #Mathematics #Mutually unbiased bases #Optimal Experimental Design Methods #Order (exchange) #Polynomial #Pure mathematics #Quasicrystal Structures and Properties #Set (abstract data type) #Simple (philosophy) #Sketch #Unitary group #Unitary matrix #Unitary state #graph theory and CDMA systems #math-ph #math.MP #quant-ph
- On the form factor for the unitary group
2004/11/29 by Mirko Degli Esposti, Andreas Knauf · 1 citation
Chemistry · Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Algebra over a field #Circular ensemble #Computer science #Factor (programming language) #Form factor (electronics) #Group (periodic table) #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Molecular spectroscopy and chirality #Physics #Pure mathematics #Quantum #Quantum chaos and dynamical systems #Quantum mechanics #Semiclassical physics #Theoretical physics #Unitary group #Unitary matrix #Unitary state
- Infinite Random Matrices and Ergodic Measures
2000/10/11 by Alexei Borodin, Grigori Olshanski · 1 citation
Mathematics · Physics and Astronomy · #Circular ensemble #Determinantal point process #Eigenvalues and eigenvectors #Ergodic theory #Geometry #Hermitian matrix #Invariant (physics) #Kernel (algebra) #Mathematical analysis #Mathematics #Measure (data warehouse) #Physics #Point process #Pure mathematics #Quantum mechanics #Random Matrices and Applications #Random matrix #Sine #Statistics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #math-ph #math.MP #math.PR #math.RT
- Universality of the local eigenvalue statistics for a class of unitary invariant random matrix ensembles
1997/01/01 by L. А. Pastur, L. Pastur, M. Shcherbina +1 · 4 citations
Mathematics · #Advanced Algebra and Geometry #Circular ensemble #Conjecture #Eigenvalues and eigenvectors #Hermitian matrix #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum mechanics #Quaternion #Random Matrices and Applications #Random matrix #Spectral Theory in Mathematical Physics #Unitary matrix #Unitary state #Universality (dynamical systems)
- The unitary dual ofG 2
1994/12/01 by David A. Vogan · 4 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebra over a field #Circular ensemble #Dual (grammatical number) #Finite Group Theory Research #Linguistics #Mathematics #Pure mathematics #Unitary matrix #Unitary state