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Related Concept Videos

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.
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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...
2D NMR: Heteronuclear Single-Quantum Correlation Spectroscopy (HSQC)01:19

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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:
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sp3d and sp3d 2 Hybridization
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Related Experiment Video

Updated: May 9, 2026

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
09:23

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

Quantum key distribution session with 16-dimensional photonic states.

S Etcheverry1, G Cañas, E S Gómez

  • 1Departamento de Física, Universidad de Concepción, 160-C Concepción, Chile.

Scientific Reports
|July 31, 2013
PubMed
Summary

This study demonstrates high-dimensional quantum key distribution (QKD) using 16-dimensional quantum states for enhanced cryptographic security. The automated system, encoding information in photon momentum, shows the real-world feasibility of advanced quantum cryptography.

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Last Updated: May 9, 2026

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
09:23

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Published on: May 30, 2014

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
07:56

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference

Published on: September 5, 2019

Area of Science:

  • Quantum Information Science
  • Cryptography
  • Telecommunications Security

Background:

  • Secure information transfer is crucial in telecommunications.
  • Quantum Key Distribution (QKD) uses quantum mechanics for secure key generation.
  • Higher dimensional QKD offers enhanced security but is largely unexplored.

Purpose of the Study:

  • To demonstrate the feasibility of high-dimensional QKD for real-world applications.
  • To implement an automated QKD session using 16-dimensional quantum states.
  • To advance experimental high-dimensional quantum cryptography.

Main Methods:

  • Developed a fully automated QKD system utilizing the BB84 protocol.
  • Employed 16-dimensional quantum states encoded in single-photon transverse momentum.
  • Dynamically generated quantum states using programmable spatial light modulators.

Main Results:

  • Successfully performed the first fully automated QKD session with 16-dimensional quantum states.
  • Demonstrated the encoding of information in single-photon transverse momentum.
  • Validated the practical implementation of high-dimensional QKD.

Conclusions:

  • The experimental setup proves the feasibility of high-dimensional QKD.
  • This work paves the way for future advancements in secure quantum communication.
  • Higher dimensional quantum cryptography offers significant security advantages.