BCTCS 2015 Keynote Talk 3 - Samson Abramsky (Oxford University) - Part I скачать в хорошем качестве

BCTCS 2015 Keynote Talk 3 - Samson Abramsky (Oxford University) - Part I

Title: Contextuality: At the Borders of Paradox Abstract: Contextuality is a key feature of quantum mechanics that provides an important non-classical resource for quantum information and computation. Contextuality can be understood as arising where we have a family of data which is locally consistent, but globally inconsistent. From this point of view, it can be seen as a pervasive phenomenon, arising not only in quantum mechanics, but in many other areas, including databases and constraint satisfaction. There are also remarkably direct connections to logical paradoxes. One can say that contextual phenomena, which we must accept as key features of our picture of physical reality, lie at the very borders of paradox, but do not cross those borders. We present a sheaf-theoretic analysis of contextuality as a general phenomenon, and some of its applications, in quantum mechanics and beyond.