The rank of contextuality
نویسندگان
چکیده
Quantum contextuality is one of the most recognized resources in quantum communication and computing scenarios. We provide a new quantifier this resource, rank (RC). define RC as minimum number non-contextual behaviors that are needed to simulate contextual behavior. show logarithm natural measure satisfying several properties considered spirit resource-theoretic approach. The include faithfulness, monotonicity, additivity under tensor product. also give examples how construct with an arbitrary value exhibiting connection between arboricity underlying hypergraph. discuss exemplary areas research which appears quantifier.
منابع مشابه
Freud, Rank and, the problem of anxiety
Anxiety has always been a phenomenon of great importance among psychoanalysts. Freud, as the founder of psychoanalysis, took much notice of this phenomenon from the beginning of his career, and he was always trying to give a comprehensive explanation for this problem. Therefore, throughout his career, he modified his theories about anxiety frequently, and even one time, he changed his whole the...
متن کاملOn the Cohomology of Contextuality
Recent work by Abramsky and Brandenburger used sheaf theory to give a mathematical formulation of non-locality and contextuality. By adopting this viewpoint, it has been possible to define cohomological obstructions to the existence of global sections. In the present work, we illustrate new insights into different aspects of this theory. We shed light on the power of detection of the cohomologi...
متن کاملQuantifying contextuality.
Contextuality is central to both the foundations of quantum theory and to the novel information processing tasks. Despite some recent proposals, it still faces a fundamental problem: how to quantify its presence? In this work, we provide a universal framework for quantifying contextuality. We conduct two complementary approaches: (i) the bottom-up approach, where we introduce a communication ga...
متن کاملthe effect of taftan pozzolan on the compressive strength of concrete in the environmental conditions of oman sea (chabahar port)
cement is an essential ingredient in the concrete buildings. for production of cement considerable amount of fossil fuel and electrical energy is consumed. on the other hand for generating one tone of portland cement, nearly one ton of carbon dioxide is released. it shows that 7 percent of the total released carbon dioxide in the world relates to the cement industry. considering ecological issu...
Generalized Robustness of Contextuality
Motivated by the importance of contextuality and a work on the robustness of the entanglement of mixed quantum states, the robustness of contextuality (RoC) RC(e) of an empirical model e against non-contextual noises was introduced and discussed in Science China Physics, Mechanics and Astronomy (59(4) and 59(9), 2016). Because noises are not always non-contextual, this paper introduces and disc...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: New Journal of Physics
سال: 2023
ISSN: ['1367-2630']
DOI: https://doi.org/10.1088/1367-2630/acdf78