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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...
The Uncertainty Principle04:08

The Uncertainty Principle

Werner Heisenberg considered the limits of how accurately one can measure properties of an electron or other microscopic particles. He determined that there is a fundamental limit to how accurately one can measure both a particle’s position and its momentum simultaneously. The more accurate the measurement of the momentum of a particle is known, the less accurate the position at that time is known and vice versa. This is what is now called the Heisenberg uncertainty principle. He mathematically...
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.
Propagation of Uncertainty from Systematic Error01:10

Propagation of Uncertainty from Systematic Error

The atomic mass of an element varies due to the relative ratio of its isotopes. A sample's relative proportion of oxygen isotopes influences its average atomic mass. For instance, if we were to measure the atomic mass of oxygen from a sample, the mass would be a weighted average of the isotopic masses of oxygen in that sample. Since a single sample is not likely to perfectly reflect the true atomic mass of oxygen for all the molecules of oxygen on Earth, the mass we obtain from this particular...
The de Broglie Wavelength02:32

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In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
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An experiment often consists of more than a single step. In this case, measurements at each step give rise to uncertainty. Because the measurements occur in successive steps, the uncertainty in one step necessarily contributes to that in the subsequent step. As we perform statistical analysis on these types of experiments, we must learn to account for the propagation of uncertainty from one step to the next. The propagation of uncertainty depends on the type of arithmetic operation performed on...

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Related Experiment Videos

Can one trust quantum simulators?

Philipp Hauke1, Fernando M Cucchietti, Luca Tagliacozzo

  • 1ICFO-Institut de Ciències Fotòniques, Parc Mediterrani de la Tecnologia, 08860 Castelldefels, Spain. philipp.hauke@icfo.es

Reports on Progress in Physics. Physical Society (Great Britain)
|July 26, 2012
PubMed
Summary
This summary is machine-generated.

Quantum simulators offer a path to understanding complex quantum systems. However, their reliability and efficiency can be impacted by imperfections like disorder and noise, requiring careful analysis for accurate results.

Related Experiment Videos

Area of Science:

  • Quantum physics
  • Condensed matter theory
  • Computational physics

Background:

  • Many-body quantum systems present significant computational challenges.
  • Phenomena like high-temperature superconductivity remain unexplained due to complexity.
  • Quantum simulators, proposed by Feynman, offer a potential solution.

Purpose of the Study:

  • To evaluate the reliability and efficiency of quantum simulators.
  • To analyze the impact of imperfections, such as disorder and noise, on quantum simulator performance.
  • To investigate the conditions for a useful quantum simulator: relevance, controllability, reliability, and efficiency.

Main Methods:

  • Review of digital and analog quantum simulator states of the art.
  • Numerical simulations of a disordered quantum spin chain (Ising model in a transverse magnetic field).
  • Analysis of how disorder and noise affect simulator reliability and efficiency.

Main Results:

  • Disorder can reduce the reliability of analog quantum simulators.
  • Significant errors in local observables occur only at high levels of disorder.
  • Controllability has been the primary focus, but reliability and efficiency need more attention.

Conclusions:

  • Quantum simulators are a promising tool but must be carefully assessed for imperfections.
  • Disorder impacts reliability, but large errors are limited to strong disorder.
  • The trustworthiness of quantum simulators is conditional and depends on specific factors.