Abstract
This work is a review of certain quantum limit theorems that may be viewed as non-commutative versions of the classical central limit theorem. Since various kinds of independences can be introduced in quantum probability, there are many quantum versions of this fundamental result in classical probability. We concentrate here only on various algebraic approaches and even within this scope we do not give a complete survey of the vast literature on the subject.
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Lenczewski, R. (1995). Quantum Central Limit Theorems. In: Gruber, B. (eds) Symmetries in Science VIII. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-1915-7_22
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DOI: https://doi.org/10.1007/978-1-4615-1915-7_22
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