Almost Equivalent Paradigms of Contextuality
نویسندگان
چکیده
منابع مشابه
Almost Equivalent Paradigms of Contextuality
Various frameworks that generalise the notion of contextuality in theories of physics have been proposed; one is the sheaf-theoretic approach by Abramsky and Brandenburger; an other is the equivalence-based approach by Spekkens. We show that these frameworks are equivalent for scenarios with preparations and measurements, whenever factorizability is justified. This connection gives rise to a ca...
متن کاملMacroscopic non-contextuality as a principle for Almost Quantum Correlations
Foundational aspects of Quantum Mechanics continues to be a subject of intense research, looking for physically grounded rather than purely mathematical and abstract axioms for quantum theory, in particular for its predictions in correlation experiments. Even though many information-theoretic principles have been proposed, none of them proved to single out the set of quantum correlations. In ad...
متن کاملNON-EQUIVALENT GREEDY AND ALMOST GREEDY BASES IN `p
For 1 < p < ∞ and p 6= 2 we construct a family of mutually non-equivalent greedy bases in `p having the cardinality of the continuum. In fact, no basis from this family is equivalent to a rearranged subsequence of any other basis thereof. We are able to extend this statement to the spaces Lp and H1. Moreover, the technique used in the proof adapts to the setting of almost greedy bases where sim...
متن کاملAn experimental proposal for revealing contextuality in almost all qutrit states
Contextuality is a foundational phenomenon underlying key differences between quantum theory and classical realistic descriptions of the world. Here we propose an experimental test which is capable of revealing contextuality in all qutrit systems, except the completely mixed state, provided we choose the measurement basis appropriately. The 3-level system is furnished by the polarization and sp...
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 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: Electronic Proceedings in Theoretical Computer Science
سال: 2018
ISSN: 2075-2180
DOI: 10.4204/eptcs.266.1