In this paper, we introduce a quantum decomposition of a two-dimensional Bernoulli random variable (ζ1,ζ2), where E(ζ1) = E(ζ2) = 0, E(ζ12) = E(ζ 22) = 1 and E(ζ1ζ2) = c (-1, 1). Based on this quantum decomposition, we defined the two-dimensional quantum Bernoulli process and set a corresponding central limit theorem, both in the sense of quantum moments and in the sense of characteristic function.
Two-dimensional quantum Bernoulli process and the related central limit theorem
Lu Y.
2023-01-01
Abstract
In this paper, we introduce a quantum decomposition of a two-dimensional Bernoulli random variable (ζ1,ζ2), where E(ζ1) = E(ζ2) = 0, E(ζ12) = E(ζ 22) = 1 and E(ζ1ζ2) = c (-1, 1). Based on this quantum decomposition, we defined the two-dimensional quantum Bernoulli process and set a corresponding central limit theorem, both in the sense of quantum moments and in the sense of characteristic function.File in questo prodotto:
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