Please use this identifier to cite or link to this item: http://hdl.handle.net/10016/6595

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 Title: States of minimal joint uncertainty for complementary observables in three-dimensional Hilbert space Author(s): Sánchez-Ruiz, Jorge Publisher: IOP Issued date: Nov-1994 Citation: Journal of Physics A: Mathematical and Theoretical, 1994, vol. 27, n. 21, p. L843-L846 URI: http://hdl.handle.net/10016/6595 ISSN: 1751-8113 (Print)1751-8121 (Online)10.1088/0305-4470/27/21/010 Abstract: The entropic uncertainty relation for sets of $N+1$ complementary observables $\{A_r\}$ existing in $N$-dimensional Hilbert space, $\sum_r H(A_r) \geq (N+1) \ln((N+ 1)/2)$, is shown to be optimal in the case $N=3$ by explicit construction of the states for which equality holds. We prove that the lower bound cannot be attained when $N$ is even, and, on the basis of numerical calculation, this is conjectured to also be the case for odd $N>3$. Review: PeerReviewed Publisher version: http://dx.doi.org/10.1088/0305-4470/27/21/010 Keywords: Entropic uncertainty relationComplementary observables[PACS] Quantum mechanics[PACS] Linear algebra[PACS] Matrix theory Appears in Collections: DM - GAMA - Artículos de Revistas

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