- Stabilizer states and Clifford operations for systems of arbitrary dimensions and modular arithmetic
2004/08/31 by Erik Hostens, Jeroen Dehaene, Bart De Moor · 1 voice · 3 citations
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Abelian group #Algebra over a field #Algorithm #Arithmetic #Clifford algebra #Computer science #Cryptography #Cyclic group #Dimension (graph theory) #Discrete mathematics #Engineering #Group (periodic table) #Mathematical physics #Mathematics #Modular arithmetic #Modular design #Modular group #Modulo #Pauli matrices #Physics #Pure mathematics #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum mechanics #Stabilizer (aeronautics) #quant-ph
- Quantum modular group in (2+1)-dimensional gravity
1998/07/31 by S. Carlip, J. E. Nelson · 1 citation
Mathematics · Physics and Astronomy · #Algebra over a field #Black Holes and Theoretical Physics #Combinatorics #Computer science #Cosmology and Gravitation Theories #Geometry #Group (periodic table) #Hilbert space #Holonomy #Loop quantum gravity #Mathematics #Modular design #Modular group #Noncommutative and Quantum Gravity Theories #Operator (biology) #Physics #Pure mathematics #Quantum #Quantum gravity #Quantum mechanics #Representation (politics) #Topology (electrical circuits) #Torus #Transformation (genetics) #gr-qc #hep-th
- Modular group, operator ordering, and time in (2+1)-dimensional gravity
1992/09/25 by S. Carlip, Steven Carlip · 5 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Black Holes and Theoretical Physics #Compact operator #Computer science #Cosmology and Gravitation Theories #Geometry #Group (periodic table) #Mathematics #Modular design #Modular group #Noncommutative and Quantum Gravity Theories #Operator (biology) #Physics #Pure mathematics #Quantum mechanics #Shift operator #Slicing #Torus #gr-qc #hep-th
- Calculation of the 7-modular characters of the Held group
1988/08/01 by A. J. E. Ryba, A.J.E Ryba · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebra over a field #Arithmetic #Combinatorics #Computer science #Finite Group Theory Research #Group (periodic table) #Mathematics #Modular design #Modular group #Programming language #Pure mathematics
- Hilbert Modular Surfaces
1987/12/23 by Gerard van der Geer, Gerard Geer · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebra over a field #Algebraic Geometry and Number Theory #Algebraic number field #Analytic Number Theory Research #Cohomology #Computer science #Cusp form #Eisenstein series #Field (mathematics) #Geometry and complex manifolds #Hecke operator #Intersection homology #Mathematics #Modular curve #Modular design #Modular form #Modular group #Programming language #Pure mathematics #Ring of integers
- Modular points, modular curves, modular surfaces and modular forms
1985/01/01 by D. Zagier, Don Zagier · 2 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Computer science #Elliptic curve #Mathematics #Modular curve #Modular design #Modular elliptic curve #Modular form #Modular group #Programming language #Pure mathematics
- A fundamental region for Hecke's modular group
1973/04/01 by Ronald Evans, Ronald J. Evans · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebra over a field #Analytic Number Theory Research #Finite Group Theory Research #Group (periodic table) #Hecke operator #Mathematics #Modular design #Modular form #Modular group #Physics #Pure mathematics #Quantum mechanics
- The Hilbert modular group, resolution of the singularities at the cusps and related problems
1971/01/01 by F. Hirzebruch, Friedrich Hirzebruch · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebra over a field #Algebraic and Geometric Analysis #Artificial intelligence #Computer science #Gravitational singularity #Group (periodic table) #Holomorphic and Operator Theory #Mathematical analysis #Mathematics #Modular design #Modular group #Physics #Pure mathematics #Resolution (logic) #Resolution of singularities