Quantum U-statistics

Details Quantum U-statistics Quantum U-statistics

2010-04-14

arxiv.org/abs/1004.2452v2

J. Math. Phys. 51, 102202 (2010)

Physics

Quantum Physics

30 pages, added section on quantum metrology

Scientific paper

10.1063/1.3476776

The notion of a $U$-statistic for an $n$-tuple of identical quantum systems is introduced in analogy to the classical (commutative) case: given a selfadjoint `kernel' $K$ acting on $(\mathbb{C}^{d})^{\otimes r}$ with $r

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