Search research articles

Search research articles

Related Experiment Videos

Testing statistical bounds on entanglement using quantum chaos.

Jayendra N Bandyopadhyay¹, Arul Lakshminarayan

¹Physical Research Laboratory, Navrangpura, Ahmedabad 380009, India.

Physical Review Letters

|August 23, 2002

Summary

This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Absolutely maximally entangled pure states of multipartite quantum systems.

Reports on progress in physics. Physical Society (Great Britain)·2026

Same author

Disordering a permutation symmetric system: Revivals, thermalization, and chaos.

Physical review. E·2025

Same author

Chaos controlled and disorder driven phase transitions induced by breaking permutation symmetry.

Scientific reports·2025

Same author

Transport properties in a two-dimensional Su-Schrieffer-Heeger model in quantum Hall regime.

Journal of physics. Condensed matter : an Institute of Physics journal·2025

Same author

Quasi-Majorana modes in the<i>p</i>-wave Kitaev chains on a square lattice.

Journal of physics. Condensed matter : an Institute of Physics journal·2025

Same author

Quantum-classical correspondence in quantum channels.

Physical review. E·2025

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Quantized chaotic systems achieve maximal entanglement, a universal bound derived from random matrix theory. This study demonstrates this bound in coupled kicked tops, offering insights into quantum entanglement in complex systems.

Area of Science:

Quantum mechanics
Chaos theory
Statistical mechanics

Background:

Chaos theory can significantly increase entropy production and dynamical entanglement.
However, this entanglement does not reach its theoretical maximum.
Random matrix theory (RMT) has recently modeled composite quantum systems with universal eigenvalue distributions for reduced density matrices.

Purpose of the Study:

To demonstrate the realization of RMT-predicted universal distributions in quantized chaotic systems.
To derive a universal statistical bound on entanglement applicable to composite quantum systems.
To validate this bound using a specific model of coupled quantized chaotic systems.

Main Methods:

Utilizing a model of two coupled and kicked tops to simulate quantized chaotic systems.

Related Experiment Videos

Applying principles of random matrix theory to analyze eigenvalue distributions.

Deriving a statistical bound on entanglement valid for unequal Hilbert space dimensions.

Main Results:

The study demonstrates that quantized chaotic systems, specifically coupled kicked tops, realize the universal eigenvalue distributions predicted by RMT.
An explicit, universal statistical bound on entanglement was derived.
This derived bound accurately describes entanglement bounds observed in composite quantized chaotic systems.

Conclusions:

Quantized chaotic systems can achieve entanglement bounds predicted by random matrix theory.
The derived universal entanglement bound is applicable even when Hilbert spaces have unequal dimensions.
Coupled kicked tops serve as a valid model for studying these universal properties in quantum chaos.