English

Adaptive strategy for joint measurements

Quantum Physics 2016-08-17 v1

Abstract

We develop a technique to find simultaneous measurements for noisy quantum observables in finite-dimensional Hilbert spaces. We use the method to derive lower bounds for the noise needed to make incompatible measurements jointly measurable. Using our strategy together with recent devel- opments in the field of one-sided quantum information processing we show that the attained lower bounds are tight for various symmetric sets of quantum measurements. We use this characterisation to prove the existence of so called 4-Specker sets in the qubit case.

Keywords

Cite

@article{arxiv.1604.08724,
  title  = {Adaptive strategy for joint measurements},
  author = {Roope Uola and Kimmo Luoma and Tobias Moroder and Teiko Heinosaari},
  journal= {arXiv preprint arXiv:1604.08724},
  year   = {2016}
}

Comments

11 pages, 7 figures, comments are welcome!

R2 v1 2026-06-22T13:44:19.096Z