Experimentally probing the algorithmic randomness and incomputability of quantum randomness
نویسندگان
چکیده
منابع مشابه
Experimental Evidence of Quantum Randomness Incomputability
The irreducible indeterminacy of individual quantum processes postulated by Born [1–3] implies that there exist physical “oracles,” which are capable of effectively producing outputs which are incomputable. Indeed, quantum indeterminism has been proved [4] under some “reasonable” side assumptions implied by Bell-, Kochen-Specker-, and Greenberger-Horne-Zeilinger-type theorems. Yet, as quantum i...
متن کاملQuantum 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 کاملStrong Kochen-Specker theorem and incomputability of quantum randomness
The Kochen-Specker theorem shows the impossibility for a hidden variable theory to consistently assign values to certain (finite) sets of observables in a way that is noncontextual and consistent with quantum mechanics. If we require noncontextuality, the consequence is that many observables must not have pre-existing definite values. However, the Kochen-Specker theorem does not allow one to de...
متن کاملKochen-Specker Theorem Revisited and Strong Incomputability of Quantum Randomness
We present a stronger variant of the Kochen-Specker theorem in which some quantum observables are identified to be provably value indefinite. This result is utilised for the construction and certification of a dichotomic quantum random number generator operating in a three-dimensional Hilbert space.
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 ...
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ژورنال
عنوان ژورنال: Physica Scripta
سال: 2019
ISSN: 0031-8949,1402-4896
DOI: 10.1088/1402-4896/aaf36a