scholarly journals Catalytic quantum randomness as a correlational resource

2021 ◽  
Vol 3 (4) ◽  
Author(s):  
Seok Hyung Lie ◽  
Hyunseok Jeong
Keyword(s):  
Quantum Randomness

Extraction of quantum randomness

2020 ◽  
Author(s):  
I.M. Arbekov ◽  
Sergei N. Molotkov
Keyword(s):  
Quantum Randomness

scholarly journals The Topological Origin of Quantum Randomness

Symmetry ◽  
2021 ◽  
Vol 13 (4) ◽  
pp. 581
Author(s):  
Stefan Heusler ◽  
Paul Schlummer ◽  
Malte S. Ubben
Keyword(s):  
High School ◽  
Hilbert Space ◽  
Group Theory ◽  
Lorentz Group ◽  
Quantum Physics ◽  
Time Development ◽  
Mathematical Structures ◽  
Stochastic Nature ◽  
Quantum Randomness ◽  
And Topology

What is the origin of quantum randomness? Why does the deterministic, unitary time development in Hilbert space (the ‘4π-realm’) lead to a probabilistic behaviour of observables in space-time (the ‘2π-realm’)? We propose a simple topological model for quantum randomness. Following Kauffmann, we elaborate the mathematical structures that follow from a distinction(A,B) using group theory and topology. Crucially, the 2:1-mapping from SL(2,C) to the Lorentz group SO(3,1) turns out to be responsible for the stochastic nature of observables in quantum physics, as this 2:1-mapping breaks down during interactions. Entanglement leads to a change of topology, such that a distinction between A and B becomes impossible. In this sense, entanglement is the counterpart of a distinction (A,B). While the mathematical formalism involved in our argument based on virtual Dehn twists and torus splitting is non-trivial, the resulting haptic model is so simple that we think it might be suitable for undergraduate courses and maybe even for High school classes.

scholarly journals Quantum randomness in the Sky

2019 ◽  
Vol 79 (7) ◽  
Author(s):  
Sayantan Choudhury ◽  
Arkaprava Mukherjee
Keyword(s):  
Quantum Randomness

scholarly journals How Does Quantum Uncertainty Emerge from Deterministic Bohmian Mechanics?

2016 ◽  
Vol 15 (03) ◽  
pp. 1640010 ◽  
Author(s):  
A. Solé ◽  
X. Oriols ◽  
D. Marian ◽  
N. Zanghì
Keyword(s):  
Wave Function ◽  
Classical Mechanics ◽  
Bohmian Mechanics ◽  
The State ◽  
Quantum Uncertainty ◽  
Point Particles ◽  
Quantum Randomness ◽  
Quantum Dynamical ◽  
System Of Particles ◽  
Quantum Phenomena

Bohmian mechanics is a theory that provides a consistent explanation of quantum phenomena in terms of point particles whose motion is guided by the wave function. In this theory, the state of a system of particles is defined by the actual positions of the particles and the wave function of the system; and the state of the system evolves deterministically. Thus, the Bohmian state can be compared with the state in classical mechanics, which is given by the positions and momenta of all the particles, and which also evolves deterministically. However, while in classical mechanics it is usually taken for granted and considered unproblematic that the state is, at least in principle, measurable, this is not the case in Bohmian mechanics. Due to the linearity of the quantum dynamical laws, one essential component of the Bohmian state, the wave function, is not directly measurable. Moreover, it turns out that the measurement of the other component of the state — the positions of the particles — must be mediated by the wave function; a fact that in turn implies that the positions of the particles, though measurable, are constrained by absolute uncertainty. This is the key to understanding how Bohmian mechanics, despite being deterministic, can account for all quantum predictions, including quantum randomness and uncertainty.

scholarly journals Randomness: Quantum versus classical

2016 ◽  
Vol 14 (04) ◽  
pp. 1640009 ◽  
Author(s):  
Andrei Khrennikov
Keyword(s):  
Information Theory ◽  
Related Problem ◽  
Short Review ◽  
Quantum Information Theory ◽  
Quantum Foundations ◽  
Interpretation Of Quantum Mechanics ◽  
New Wave ◽  
Quantum Randomness ◽  
Information Interpretation ◽  
Random Generators

Recent tremendous development of quantum information theory has led to a number of quantum technological projects, e.g. quantum random generators. This development had stimulated a new wave of interest in quantum foundations. One of the most intriguing problems of quantum foundations is the elaboration of a consistent and commonly accepted interpretation of a quantum state. Closely related problem is the clarification of the notion of quantum randomness and its interrelation with classical randomness. In this short review, we shall discuss basics of classical theory of randomness (which by itself is very complex and characterized by diversity of approaches) and compare it with irreducible quantum randomness. We also discuss briefly “digital philosophy”, its role in physics (classical and quantum) and its coupling to the information interpretation of quantum mechanics (QM).

scholarly journals Quantum randomness extraction for various levels of characterization of the devices

2014 ◽  
Vol 47 (42) ◽  
pp. 424028 ◽  
Author(s):  
Yun Zhi Law ◽  
Le Phuc Thinh ◽  
Jean-Daniel Bancal ◽  
Valerio Scarani
Keyword(s):  
Quantum Randomness ◽  
Randomness Extraction

scholarly journals Ultra-fast quantum randomness generation by accelerated phase diffusion in a pulsed laser diode

2014 ◽  
Vol 22 (2) ◽  
pp. 1645 ◽  
Author(s):  
C. Abellán ◽  
W. Amaya ◽  
M. Jofre ◽  
M. Curty ◽  
A. Acín ◽  
...  
Keyword(s):  
Laser Diode ◽  
Pulsed Laser ◽  
Phase Diffusion ◽  
Quantum Randomness

An Explicit Non-Malleable Extraction Scheme for Quantum Randomness Amplification With Two Untrusted Devices

2018 ◽  
Vol 22 (1) ◽  
pp. 85-88
Author(s):  
Mingfeng Xu ◽  
Wei Pan ◽  
Lianshan Yan ◽  
Bin Luo ◽  
Xihua Zou ◽  
...  
Keyword(s):  
Quantum Randomness ◽  
Extraction Scheme
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