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Randomness in Quantum Mechanics: Philosophy, Physics …

Randomness in Quantum mechanics : Philosophy, Physics and Technology Manabendra Nath Bera,1 Antonio Ac n,1, 2 Marek Kus ,3 Morgan W. Mitchell,1, 2 and Maciej Lewenstein1, 2. 1. ICFO-Institut de Ci ncies Fot niques, The Barcelona Institute of Science and Technology, E-08860 Castelldefels (Barcelona), Spain 2. ICREA-Instituci Catalana de Recerca i Estudis Avan ats, Lluis Companys 23, E-08010 Barcelona, Spain 3. Center for Theoretical Physics , [quant-ph] 17 Aug 2017. Polish Academy of Sciences, Aleja Lotnik w 32/44, 02-668 Warszawa, Poland This progress report covers recent developments in the area of Quantum Randomness , which is an extraordinarily interdisciplinary area that belongs not only to Physics , but also to philosophy, mathe- matics, computer science, and technology.

In quantum mechanics apparent (a.k.a. epistemic) random-ness also plays an important role and reflects our lack of full knowledge of the state of a system. A state of a system in quantum mechanics corresponds to a vector in a Hilbert space, and is described by the projector operator on that vector. Such

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