The power of random measurements: measuring Tr(ρ^n) on single copies of ρ

Details The power of random measurements: measuring Tr(ρ^n) on single copies of ρ The power of random measurements: measuring Tr(ρ^n) on single copies of ρ

2011-12-05

arxiv.org/abs/1112.1027v1

Phys.Rev.Lett. 108, 110503 (2012)

Physics

Quantum Physics

Scientific paper

10.1103/PhysRevLett.108.110503

While it is known that Tr(\rho^n) can be measured directly (i.e., without first reconstructing the density matrix) by performing joint measurements on n copies of the same state rho, it is shown here that random measurements on single copies suffice, too. Averaging over the random measurements directly yields estimates of Tr(\rho^n), even when it is not known what measurements were actually performed (so that one cannot reconstruct \rho).

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