Violation of the Lüders bound of macrorealist and noncontextual inequalities

Autor:	Alok Kumar Pan, Md. Qutubuddin, Asmita Kumari
Rok vydání:	2018
Předmět:	Physics Theoretical physics Inequality media_common.quotation_subject 0103 physical sciences Observable Qutrit Algebraic number 010306 general physics 01 natural sciences Quantum 010305 fluids & plasmas media_common
Zdroj:	Physical Review A. 98
ISSN:	2469-9934 2469-9926
DOI:	10.1103/physreva.98.042135
Popis:	In a recent Letter by Budroni and Emary [Phys. Rev. Lett. 113, 050401 (2014)], it is shown that the quantum violation of a three-time Leggett-Garg inequality for a dichotomic qutrit system can exceed the L\"uders bound. This is obtained by using a degeneracy-breaking projective measurement rule which the authors termed the ``von Neumann rule.'' Such violation can even approach the algebraic maximum in the asymptotic limit of system size. In this paper, we first examine the reason behind such violation of the L\"uders bound in quantum mechanics and its conceptual relevance in the Leggett-Garg scenario. Further, we demonstrate the violation of the L\"uders bound of the simplest noncontextual inequality involving three commuting observables. The implication of such violations of the L\"uders bound of Leggett-Garg inequalities and noncontextual inequalities is discussed.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::0c8cd0b9b1f502c277a7403f7e429ea5 https://doi.org/10.1103/physreva.98.042135 Zobrazit plný text záznamu