QUANTUM RANDOM-WALK FOR U-Q(SU(2)) AND A NEW EXAMPLE OF QUANTUM-NOISE

We derive the quantum version of the central limit theorem for sample sums of q-independent q-identically distributed quantum variables for q epsilon R(+) -{1}. In particular, we consider U-q(su(2)), for which we obtain in the limit a state Psi on the algebra generated by q-commu ting q-oscillators indexed by pairs of real numbers (r,s), where 0 les s than or equal to r < s, giving a new example of non-additive quantum noise. (C) 1996 American Institute of Physics.