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Related Experiment Video

Updated: May 22, 2026

Gradient Echo Quantum Memory in Warm Atomic Vapor
10:00

Gradient Echo Quantum Memory in Warm Atomic Vapor

Published on: November 11, 2013

Ergodic dynamics in iterated quantum protocols.

Attila Portik1,2,3, Orsolya Kálmán1, Tamás Kiss1

  • 1HUN-REN Wigner Research Centre for Physics, 1525 P.O. Box 49, Budapest, Hungary.

Chaos (Woodbury, N.Y.)
|May 21, 2026
PubMed
Summary
This summary is machine-generated.

This study reveals how quantum protocols can create chaotic dynamics, mimicking ergodic behavior. Even with noise, quantum systems can spread information efficiently, with some states purifying instead of fully mixing.

Related Experiment Videos

Last Updated: May 22, 2026

Gradient Echo Quantum Memory in Warm Atomic Vapor
10:00

Gradient Echo Quantum Memory in Warm Atomic Vapor

Published on: November 11, 2013

Area of Science:

  • Quantum Information Science
  • Quantum Dynamics
  • Nonlinear Systems

Background:

  • Quantum protocols involving entangling gates and single-qubit rotations can induce complex dynamics.
  • Understanding measurement-induced nonlinear dynamics is crucial for quantum information processing and quantum chaos.

Purpose of the Study:

  • To investigate measurement-induced nonlinear dynamics in an iterated quantum protocol.
  • To explore the emergence of ergodic-like behavior in quantum systems.
  • To analyze the impact of noise and mixed initial states on quantum dynamics.

Main Methods:

  • Iterated quantum protocol combining entangling gates, single-qubit rotations, and post-selection.
  • Analysis of pure and mixed initial states on the Bloch sphere.
  • Introduction of quasi-ergodicity to quantify noise robustness.

Main Results:

  • A specific protocol realization exhibits globally chaotic, mixing dynamics for pure states, realizing ergodic behavior.
  • The maximally mixed state acts as an attractor for mixed initial states under noisy conditions.
  • Quasi-ergodicity demonstrates rapid spreading of quantum information within ensembles, despite gradual purity decrease.
  • A family of ergodic-like protocols was identified, showing robustness against noise.

Conclusions:

  • The study demonstrates a physical realization of ergodic behavior in quantum systems through iterated protocols.
  • Quantum systems exhibit complex dynamics, including attractors and transient purity increases, when subjected to noise.
  • The concept of quasi-ergodicity provides a practical measure for noise robustness in quantum information processing.
  • Coexistence of statistical mixing and state purification is observed within certain quantum protocols.