3 papers
math.PR2008
A Limit Theorem for Products of Free Unitary Operators
Vladislav Kargin
This paper establishes necessary and sufficient conditions for the products of freely independent unitary operators to converge in distribution to the uniform law on the unit circl…
math.PR2007
A Proof of a Non-Commutative Central Limit Theorem by the Lindeberg Method
Vladislav Kargin
A Central Limit Theorem for non-commutative random variables is proved using the Lindeberg method. The theorem is a generalization of the Central Limit Theorem for free random vari…
quant-ph2004
Coordination Games with Quantum Information
Vladislav Kargin
The paper discusses coordination games with remote players that have access to an entangled quantum state. It shows that the entangled state cannot be used by players for communica…