Mathematical Realization of Quantum Mechanics

Stephen J. Gustafson, Israel Michael Sigal

Andrzej Frydryszak

Formalism where fundamental variables are nilpotent, but in contrast to the super-mathematics, not anticommutative but commutative gives another version of realization of the Pauli exclusion principle. We discuss some aspects of nilpotent quantum mechanics realized in generalized Hilbert space of functions of nilpotent commuting variables. The qubits are natural objects described by such a formalism. Supersymmetric system of qubit and fermion is presented.

Stephen J. Gustafson, Israel Michael Sigal

裕子 平塚

A control theory and mathematical engineering approach at the dawn of quantum computers 20 years which shook the quantum world Quantum computer research sets the world alight

Joachim Asch, Alain Joye