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Related Concept Videos

The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

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. Schrödinger...
Free Energy Changes for Nonstandard States03:25

Free Energy Changes for Nonstandard States

The free energy change for a process taking place with reactants and products present under nonstandard conditions (pressures other than 1 bar; concentrations other than 1 M) is related to the standard free energy change according to this equation:
The Entropy as a State Function01:14

The Entropy as a State Function

Consider an arbitrary process that moves between two specific states (A and B) in a cyclic manner. This process is reversible and broken down into smaller parts that each follow a Carnot cycle. A Carnot cycle has two isothermal (constant temperature) processes. During these processes, the ratio of the amount of heat transferred to their respective temperature remains constant. The other two processes in the Carnot cycle are also reversible but adiabatic, which means they occur without any heat...
Quantum Numbers02:43

Quantum Numbers

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.
Entropy Change in Reversible Processes01:10

Entropy Change in Reversible Processes

In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
Energy Associated With a Charge Distribution01:21

Energy Associated With a Charge Distribution

The work done to bring a charge through a distance r is given by the potential difference between the initial and the final position. To assemble a collection of point charges, the total work done can be expressed in terms of the product of each pair of charges divided by their separation distance, defined with respect to a suitable origin. Solving this expression gives the energy stored in a point charge distribution.

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Related Experiment Video

Updated: May 18, 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

Continuous variable quantum key distribution with modulated entangled states.

Lars S Madsen1, Vladyslav C Usenko, Mikael Lassen

  • 1Department of Physics, Technical University of Denmark, Fysikvej, 2800 Kongens Lyngby, Denmark. lsma@fysik.dtu.dk

Nature Communications
|September 27, 2012
PubMed
Summary
This summary is machine-generated.

This study introduces a new quantum key distribution protocol using entangled states to improve secure communication distance. The novel method enhances robustness against channel noise, outperforming existing protocols.

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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

Area of Science:

  • Quantum Information Science
  • Quantum Communication Security

Background:

  • Quantum key distribution (QKD) enables secure communication but is limited by channel loss and noise.
  • Existing continuous variable QKD protocols are sensitive to channel excess noise, limiting secure communication distances.

Purpose of the Study:

  • To develop a continuous variable quantum key distribution protocol with enhanced robustness to channel noise.
  • To improve the maximal distance for unconditionally secure communication.

Main Methods:

  • Proposed and experimentally demonstrated a continuous variable QKD protocol utilizing modulated fragile entangled states of light.
  • Investigated the protocol's performance under varying levels of channel excess noise.

Main Results:

  • The proposed protocol demonstrated significantly enhanced robustness to channel noise compared to conventional methods.
  • Experimentally confirmed that the protocol can tolerate higher noise levels than the ideal continuous variable coherent state protocol.
  • Achieved greater resilience against channel imperfections.

Conclusions:

  • The novel entangled-state QKD protocol offers a promising solution for extending secure communication distances.
  • This approach significantly improves the practical feasibility of long-distance quantum-secured communication.