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quant-ph2026
The Heisenberg-Weyl-parity group its coherent states and a unified Wigner-Weyl function
A. Vourdas
The Heisenberg-Weyl group related to a -dimensional Hilbert space , is enlarged into the Heisenberg-Weyl-parity group that incorporates parity transformat…
quant-ph2025
Effective approach to open systems with probability currents and the Grothendieck formalism
A. Vourdas
An effective approach to open systems and irreversible phenomena is presented, where an open system with -dimensional Hilbert space, is a subsystem of a larger isolated…
quant-ph2025
Partial order and topology of Hermitian matrices and quantum Choquet integrals for density matrices with given expectation values
A. Vourdas
The set of Hermitian matrices (observables) is studied as a partially ordered set with the Löwner partial order. Upper and lower sets in it, define the concept of…
quant-ph2024
Rescaling transformations and the Grothendieck bound formalism in a single quantum system
A. Vourdas
The Grothedieck bound formalism is studied using `rescaling transformations', in the context of a single quantum system. The rescaling transformations enlarge the set of unitary tr…