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Related Concept Videos

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Conservation of Energy in Control Volume

Consider a turbine operating under steady-flow conditions. The control volume is drawn around the turbine, with fluid entering at one point and exiting at another. The turbine extracts energy from the fluid, which performs mechanical work (shaft work).
For steady flow systems, the time derivative of the stored energy becomes zero since there is no energy accumulation within the control volume. This simplifies the energy equation to:
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The principle of conservation of mass is a fundamental law in fluid mechanics and is applied using the continuity equation. We apply the concept to a finite control volume to derive the continuity equation.
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The Uncertainty Principle04:08

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Related Experiment Video

Updated: Jun 14, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Optimal control at the quantum speed limit.

T Caneva1, M Murphy, T Calarco

  • 1International School for Advanced Studies (SISSA), Via Beirut 2-4, I-34014 Trieste, Italy.

Physical Review Letters
|April 7, 2010
PubMed
Summary
This summary is machine-generated.

Optimal control theory can significantly enhance quantum information processing. This study shows it reaches the maximum speed limit dictated by quantum mechanics.

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Area of Science:

  • Quantum Information Science
  • Quantum Control Theory
  • Theoretical Physics

Background:

  • Quantum information tasks require high precision and speed.
  • Optimal control theory offers a framework for enhancing quantum system performance.
  • Understanding the theoretical limits of quantum control is crucial.

Purpose of the Study:

  • To investigate the ultimate performance limits of quantum information tasks using optimal control theory.
  • To determine if optimal control can achieve the theoretical maximum speed of quantum evolution.
  • To explore paradigmatic cases to validate the findings.

Main Methods:

  • Application of optimal control theory to quantum information processing.
  • Analysis of quantum dynamics under optimal control protocols.
  • Theoretical derivation of speed limits in quantum evolution.

Main Results:

  • Optimal control theory demonstrates significant improvements in quantum information task performance.
  • The study confirms that optimal control achieves the maximum speed limit imposed by quantum mechanics.
  • Paradigmatic quantum systems exhibit control strategies that saturate quantum speed limits.

Conclusions:

  • Optimal control theory is a key tool for advancing quantum information science.
  • The findings establish a fundamental connection between optimal control and the speed limits of quantum dynamics.
  • This research provides a theoretical foundation for designing faster and more efficient quantum technologies.