منابع مشابه
Quantum mechanics and algorithmic randomness
A long sequence of tosses of a classical coin produces an apparently random bit string, but classical randomness is an illusion: the algorithmic information content of a classically-generated bit string lies almost entirely in the description of initial conditions. This letter presents a simple argument that, by contrast, a sequence of bits produced by tossing a quantum coin is, almost certainl...
متن کاملAlgorithmic Randomness , Quantum Physics , and Incompleteness C
Is randomness in quantum mechanics “algorithmically random”? Is there any relation between Heisenberg’s uncertainty relation and Gödel’s incompleteness? Can quantum randomness be used to trespass the Turing’s barrier? Can complexity shed more light on incompleteness? In this paper we use variants of “algorithmic complexity” to discuss the above questions.
متن کاملAlgorithmic Randomness, Quantum Physics, and Incompleteness
Is randomness in quantum mechanics “algorithmically random”? Is there any relation between Heisenberg’s uncertainty relation and Gödel’s incompleteness? Can quantum randomness be used to trespass the Turing’s barrier? Can complexity shed more light on incompleteness? In this paper we use variants of “algorithmic complexity” to discuss the above questions.
متن کاملThe algorithmic randomness of quantum measurements
This paper is a comment on the paper “Quantum Mechanics and Algorithmic Randomness” was written by Ulvi Yurtsever [1] and the briefly explanation of the algorithmic randomness of quantum measurements results. There are differences between the computability of probability sources, ( which means there is an algorithm that can define the way that random process or probability source generates the ...
متن کاملAlgorithmic randomness and lowness
We prove that there are uncountably many sets that are low for the class of Schnorr random reals. We give a purely recursion theoretic characterization of these sets and show that they all have Turing degree incomparable to 0 0. This contrasts with a result of Ku cera and Terwijn 2] on sets that are low for the class of Martin-LL of random reals. The Cantor space 2 ! is the set of innnite binar...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2021
ISSN: 0022-2488,1089-7658
DOI: 10.1063/5.0003351