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Structure of bicentralizer algebras and inclusions of type III factors (Mathematical aspects of quantum fields and related topics)We investigate the structure of the relative bicentralizer algebra B(N ⊂ M, φ) for inclusions of von Neumann algebras with normal expectation where N is a type Ill₁ subfactor and φ ∈ N* is a faithful state. We first construct a canonical flow β[φ] : R*₊ ↷ B(N C M, ip) on the relative bicentralizer algebra and we show that the W*-dynamical system (B(N ⊂
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MATHEMATICAL FUNDAMENTALS OF ALGEBRAIC LATTICIES AND THEIR APPLICATION IN QUANTUM CRYPTOLOGY
The ongoing development of quantum computers threatens state-of-the-art public key cryptographic schemes, such as discrete logarithm factorization key generation schemes, digital signatures, and elliptic curve cryptography. It is necessary to develop new cryptographic algorithms capable of resisting the attacks of quantum computers.
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A short essay on the interplay between algebraic language theory, galois theory and class field theory : comparing physics and theory of computation (Mathematical aspects of quantum fields and related topics)This paper is written as a technical report for our talk given at the RJMS workshop on quantum fields and related topics, held on 6th- 8th December 2021. In this talk we introduced our recent works [23, 24, 25, 26] in formal language theory to the community of mathematical physics, which concern some interplay between algebraic language theory, galois ...
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A C$^{ast}$-algebraic approach to quantum measurement (Mathematical aspects of quantum fields and related topics)openaire
Algebraic and geometric representations of the two-qudit entanglement (Mathematical Study of Quantum Dynamical Systems and Its Application to Quantum Computer)openaire
The discrete quantum origin of the Lorentz group and the $Z_3$-graded ternary algebras (Mathematical aspects of quantum fields and related topics)openaire
Algebraic QFT & Local Gauge Invariance (Mathematical Aspects of Quantum Fields and Related Topics)
Algebraic QFT & Local Gauge Invariance (Mathematical Aspects of Quantum Fields and Related Topics)openaire
The Arcsine Law and "Quantum-Classical Correspondence" (Mathematical Studies on Independence and Dependence Structure : Algebra meets Probability)openaire
APPLICATIONS OF FREE PROBABILITY TO QUANTUM INFORMATION THEORY (Mathematical Studies on Independence and Dependence Structure : Algebra meets Probability)openaire
Application of Resolvent CCR Algebras to Statistical Mechanics of Bosons on Lattices (Mathematical Aspects of Quantum Fields and Related Topics)openaire