On the Completeness of Some Subsystems of $q$-deformed Coherent States
A. M. Perelomov
TL;DR
This paper investigates the completeness properties of certain subsystems of $q$-deformed coherent states, establishing conditions under which these subsystems form complete sets.
Contribution
It proves the completeness of specific von Neumann type subsystems within $q$-deformed coherent states, advancing understanding of their mathematical structure.
Findings
Completeness of von Neumann type subsystems is established.
Provides conditions for the completeness of $q$-deformed coherent state subsystems.
Enhances the theoretical framework of $q$-deformed quantum states.
Abstract
The von Neumann type subsystems of -deformed coherent states are considered. The completeness of such subsystems is proved.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Quantum Information and Cryptography · Quantum Computing Algorithms and Architecture