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Showing papers on "Quantum channel published in 1984"


Journal ArticleDOI
TL;DR: In this article, the authors considered the joint system of a classical system and a quantum system and provided the same conditions on the two systems as those that give the description of two classical systems systems by means of the tensor product of the Hilbert spaces.

19 citations


Journal ArticleDOI
TL;DR: The quantum simplex as mentioned in this paper is a quantum simplicial topology suitable for a quantum theory of time space and gravity without prior time space structure; it is isotropic and all quantum simplexes of the same signature are congruent.
Abstract: Quantum set theory permits the formulation of a quantum simplicial topology suitable for a quantum theory of time space and gravity without prior time space structure. The quantum simplex differs strikingly from the classical: It is isotropic (“points in all directions”) and all quantum simplexes of the same signature are congruent. Quantum simplexes and complexes are described byS numbers, elements of the Clifford algebra of quantum sets. The isotropy groups of noncontiguous simplexes commute, like local invariance groups in a gaugeinvariant theory.

12 citations