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We study quantum learning algorithms for quantum measurements.
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This is equivalent to a usage of a direct sum over the classical outcomes
Cited in the paper.
For N + 1 ≥ d N+1\geq d , this number is known as Bell number B N + 1 B_{N+1} .In the case N + 1 < d N+1<d the solution is provided by the sum for k = 1 , … , d k=1,\dots,d of numbers of disjoint partitions of a set with N + 1 N+1 elements into k k subsets, which is the sum of Stirling numbers of the second kind S ( N + 1 , k ) S(N+1,k) for 1 ≤ k ≤ d 1\leq k\leq d
Cited in the paper.
G. Chiribella, G. M. D’Ariano, and P. Perinotti, Phys. Rev. A 80
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J. Fiurasek, M. Micuda Phys. Rev. A 80
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A. Bisio, G. Chiribella, G. M. D’Ariano, S. Facchini, and P. Perinotti, Phys. Rev. A 81
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A. W. Harrow, A. Hassidim, D. W. Leung, J. Watrous Phys. Rev. A 81
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