Decomposition of any quantum measurement into extremals

G. Sentís, B. Gendra, S. D. Bartlett, A. C. Doherty

Research output: Contribution to journalArticleResearchpeer-review

11 Citations (Scopus)


We design an efficient and constructive algorithm to decompose any generalized quantum measurement into a convex combination of extremal measurements. We show that if one allows for a classical post-processing step only extremal rank-1 positive operator valued measures are needed. For a measurement with N elements on a d-dimensional space, our algorithm will decompose it into at most (N - 1)d + 1 extremals, whereas the best previously known upper bound scaled as d2. Since the decomposition is not unique, we show how to tailor our algorithm to provide particular types of decompositions that exhibit some desired property. © 2013 IOP Publishing Ltd.
Original languageEnglish
Article number375302
JournalJournal of Physics A: Mathematical and Theoretical
Issue number37
Publication statusPublished - 20 Sept 2013


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