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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.
Uncertainty in Measurement: Reading Instruments02:46

Uncertainty in Measurement: Reading Instruments

Counting is the type of measurement that is free from uncertainty, provided the number of objects being counted does not change during the process. Such measurements result in exact numbers. By counting the eggs in a carton, for instance, one can determine exactly how many eggs are there in the carton. Similarly, the numbers of defined quantities are also exact. For example, 1 foot is exactly 12 inches, 1 inch is exactly 2.54 centimeters, and 1 gram is exactly 0.001 kilograms. Quantities...
Reaction Quotient02:35

Reaction Quotient

The status of a reversible reaction is conveniently assessed by evaluating its reaction quotient (Q). For a reversible reaction described by m A + n B ⇌ x C + y D, the reaction quotient is derived directly from the stoichiometry of the balanced equation as
Bias01:22

Bias

Bias refers to any tendency that prevents a question from being considered unprejudiced. In research, bias occurs when one outcome or answer is selected or encouraged over others in sampling or testing. Bias can occur during any research phase, including study design, data collection, analysis, and publication.
In statistics, a sampling bias is created when a sample is collected from a population, and some members of the population are not as likely to be chosen as others (remember, each member...
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...

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Related Experiment Video

Updated: May 21, 2026

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
05:39

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Published on: August 2, 2019

Certifiable quantum dice.

Umesh Vazirani1, Thomas Vidick

  • 1Computer Science Division, University of California at Berkeley, 94720-1776, USA. vazirani@cs.berkeley.edu

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|June 20, 2012
PubMed
Summary
This summary is machine-generated.

We present a method for generating certifiably random bits using quantum devices. This protocol ensures randomness based on a simple statistical test and the no-signalling principle, requiring no assumptions about quantum mechanics itself.

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Absolute Quantum Yield Measurement of Powder Samples
14:20

Absolute Quantum Yield Measurement of Powder Samples

Published on: May 12, 2012

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Last Updated: May 21, 2026

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
05:39

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Published on: August 2, 2019

Absolute Quantum Yield Measurement of Powder Samples
14:20

Absolute Quantum Yield Measurement of Powder Samples

Published on: May 12, 2012

Area of Science:

  • Quantum Information Science
  • Cryptography
  • Foundations of Quantum Mechanics

Background:

  • Generating truly random numbers is crucial for secure computation and scientific experiments.
  • Existing methods often rely on complex assumptions or are not easily verifiable.

Purpose of the Study:

  • To introduce a novel protocol for generating certifiably random bits.
  • To establish a method that requires minimal assumptions about the underlying quantum devices.

Main Methods:

  • Utilizing a pair of quantum mechanical devices.
  • Employing a seed of uniform random bits.
  • Implementing a simple statistical test for verification.

Main Results:

  • The protocol generates n random bits that are statistically close to uniformly distributed bits.
  • The generated bits are certifiably random, verifiable through a user-performed statistical test.
  • The method relies only on the no-signalling principle, not necessarily quantum mechanics.

Conclusions:

  • This protocol offers a robust way to generate verifiable random bits.
  • It provides a practical approach to randomness generation with broad applicability.
  • The method's minimal assumptions make it highly versatile for various quantum information tasks.