Quantum fibrations: quantum computation on an arbitrary topological space

DOI10.1007/s10114-024-3338-0MaRDI QIDQ6652634

Kazuki Ikeda

Publication date: 12 December 2024

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

zbMATH Keywords

von Neumann algebraquantum computationoperator algebrafibrationcomplexity theoryquantum computational chemistry

Mathematics Subject Classification ID

Quantum computation (81P68) Generalizations (algebraic spaces, stacks) (14A20) Linear operators in (C^*)- or von Neumann algebras (47C15)

Cites Work

• States, effects, and operations. Fundamental notions of quantum theory. Lectures in mathematical physics at the University of Texas at Austin. Ed. by A. Böhm, J. D. Dollard and W. H. Wootters
• Simple \(C^*\)-algebras generated by isometries
• Zur Algebra der Funktionaloperationen und Theorie der normalen Operatoren.
• Simulation of topological field theories by quantum computers
• Quantifying Entanglement
• Realizable Hamiltonians for universal adiabatic quantum computers
• The Quantum Wasserstein Distance of Order 1
• An Algebraic Approach to Quantum Field Theory
• Conditional expectation in an operator algebra. IV. Entropy and information

This page was built for publication: Quantum fibrations: quantum computation on an arbitrary topological space