Related Experiment Video
Updated: Dec 12, 2025
08:19
Asymmetric Walkway: A Novel Behavioral Assay for Studying Asymmetric Locomotion
Published on: January 15, 2016
9.2K
Parrondo paradoxical walk using four-sided quantum coins
Joel Weijia Lai1, Jean Ren Adriel Tan2, Huiyi Lu
1Science, Mathematics and Technology, Singapore University of Technology and Design (SUTD), 8 Somapah Road, Singapore 487372.
Physical Review. E
|August 16, 2020
Summary
Parrondo's paradox, where two losing games yield a win, is explored using quantum game theory. Flipping four-sided quantum coins demonstrates this paradox, requiring a ratcheting effect for the first time.
Area of Science:
- Quantum Information Science
- Game Theory
- Quantum Computation
Background:
- Parrondo's paradox describes a phenomenon where combining two losing strategies can lead to a winning outcome.
- Quantum game theory offers novel approaches to model classical paradoxes using quantum mechanics.
- Previous studies have explored Parrondo's paradox within classical game theory frameworks.
Purpose of the Study:
- To investigate the emergence of Parrondo's paradox using quantum computation.
- To determine if four-sided quantum coins can exhibit Parrondo's paradox.
- To explore the necessity of the ratcheting effect in a quantum context.
Main Methods:
- Modeling Parrondo's games using quantum computation notation.
- Sequential play of two distinct losing quantum games (Game A and Game B).
- Analysis of outcomes based on quantum coin flips and protocol design.
Main Results:
- Demonstration of Parrondo's paradox through the sequential play of two quantum losing games.
- Identification of the four-sided quantum coin as the first instance requiring a ratcheting effect.
- The study's foundation in quantum protocols, lacking a direct classical analogue.
Conclusions:
- Quantum protocols can successfully model and exhibit Parrondo's paradox.
- Four-sided quantum coins provide a unique platform for studying paradoxes in quantum game theory.
- This research highlights the distinct nature of quantum game theory compared to its classical counterpart.
Related Concept Videos
03:06The Pauli Exclusion Principle
58.2K
The arrangement of electrons in the orbitals of an atom is called its electron configuration. We describe an electron configuration with a symbol that contains three pieces of information:
58.2K
01:06Physical Pendulum
2.4K
When a rigid body is hanging freely from a fixed pivot point and is displaced, it oscillates similar to a simple pendulum and is known as a physical pendulum. The period and angular frequency of a physical pendulum are obtained by using the small-angle approximation and drawing parallels with a spring-mass system. The small-angle approximation (sinθ=θ) is valid up to about 14°.
When dealing with complicated systems, the mass moment of inertia is an important parameter, as it...
When dealing with complicated systems, the mass moment of inertia is an important parameter, as it...
2.4K
02:45The Quantum-Mechanical Model of an Atom
55.8K
Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
55.8K
02:43Quantum Numbers
48.2K
It is said that the energy of an electron in an atom is quantized; that is, it can be equal only to certain specific values and can jump from one energy level to another but not transition smoothly or stay between these levels.
48.2K
01:10Simple Pendulum
7.0K
A simple pendulum consists of a small diameter ball suspended from a string, which has negligible mass but is strong enough to not stretch. In our daily life, pendulums have many uses, such as in clocks, on a swing set, and on a sinker on a fishing line.
The period of a simple pendulum depends on two factors: its length and the acceleration due to gravity. The period is completely independent of any other factors, such as mass or maximum displacement. For small displacements, a pendulum is...
The period of a simple pendulum depends on two factors: its length and the acceleration due to gravity. The period is completely independent of any other factors, such as mass or maximum displacement. For small displacements, a pendulum is...
7.0K
01:12Fermi Level Dynamics
541
The vacuum level denotes the energy threshold required for an electron to escape from a material surface. It is usually positioned above the conduction band of a semiconductor and acts as a benchmark for comparing electron energies within various materials.
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...
541