Reply to Svensson: Quantum violations of the pigeonhole principle
نویسندگان
چکیده
منابع مشابه
The Pigeonhole Principle
Theorem 1.1. If n + 1 objects are put into n boxes, then at least one box contains two or more objects. Proof. Trivial. Example 1.1. Among 13 people there are two who have their birthdays in the same month. Example 1.2. There are n married couples. How many of the 2n people must be selected in order to guarantee that one has selected a married couple? Other principles related to the pigeonhole ...
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Since Jeff Paris introduced them in the late seventies [Par78], densities turned out to be useful for studying independence results. Motivated by their simplicity and surprising strength we investigate the combinatorial complexity of two such densities which are strongly related to the pigeonhole principle. The aim is to miniaturise Ramsey’s Theorem for 1-tuples. The first principle uses an unl...
متن کاملQuantum violation of the pigeonhole principle and the nature of quantum correlations.
The pigeonhole principle: "If you put three pigeons in two pigeonholes, at least two of the pigeons end up in the same hole," is an obvious yet fundamental principle of nature as it captures the very essence of counting. Here however we show that in quantum mechanics this is not true! We find instances when three quantum particles are put in two boxes, yet no two particles are in the same box. ...
متن کاملComment on “The quantum pigeonhole principle and the nature of quantum correlations”
“The pigeonhole principle: ‘If you put three pigeons in two pigeonholes, at least two of the pigeons end up in the same hole’ is an obvious yet fundamental priniciple of Nature as it captures the very essence of counting. Here however, we show that in quantum mechanics, this is not true! We find instances when three quantum particles are put in two boxes, yet no two particles are in the same box.”
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The joint realm of quantum mechanics and the general-relativistic description of gravitation is becoming increasingly accessible to terrestrial experiments and observations. In this essay we study the emerging indications of the violation of equivalence principle (VEP). While the solar neutrino anomaly may find its natural explanation in a VEP, the statistically significant discrepancy observed...
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 2016
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.1602477113