Displaying similar documents to “Illustration of the quantum central limit theorem by independent addition of spins”

Quantum limit theorems

Katarzyna Lubnauer (2004)

Studia Mathematica

Similarity:

A noncommutative analogue of limit theorems in classical probability theory for distributions of canonical pairs of observables is considered. A complete description of all limit probability operators which are quantum counterparts of the classical infinitely divisible and semistable laws is obtained in the case when scalar norming is generalised to norming by 2 × 2 matrices.

Quantum Bochner theorems and incompatible observables

Robin L. Hudson (2010)

Kybernetika

Similarity:

A quantum version of Bochner's theorem characterising Fourier transforms of probability measures on locally compact Abelian groups gives a characterisation of the Fourier transforms of Wigner quasi-joint distributions of position and momentum. An analogous quantum Bochner theorem characterises quasi-joint distributions of components of spin. In both cases quantum states in which a true distribution exists are characterised by the intersection of two convex sets. This may be described...

Quantum copying: a review.

Hillery, Mark (2000)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Similarity:

Natural quantum operational semantics with predicates

Marek Sawerwain, Roman Gielerak (2008)

International Journal of Applied Mathematics and Computer Science

Similarity:

A general definition of a quantum predicate and quantum labelled transition systems for finite quantum computation systems is presented. The notion of a quantum predicate as a positive operator-valued measure is developed. The main results of this paper are a theorem about the existence of generalised predicates for quantum programs defined as completely positive maps and a theorem about the existence of a GSOS format for quantum labelled transition systems. The first theorem is a slight...

A U q ⁢ s ⁢ l ⁢ 2 -representation with no quantum symmetric algebra

Olivia Rossi-Doria (1999)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Similarity:

We show by explicit calculations in the particular case of the 4-dimensional irreducible representation of U q ⁢ s ⁢ l ⁢ 2 that it is not always possible to generalize to the quantum case the notion of symmetric algebra of a Lie algebra representation.