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Related Concept Videos

Diffusion01:12

Diffusion

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Diffusion is the passive movement of substances down their concentration gradients—requiring no expenditure of cellular energy. Substances, such as molecules or ions, diffuse from an area of high concentration to an area of low concentration in the cytosol or across membranes. Eventually, the concentration will even out, with the substance moving randomly but causing no net change in concentration. Such a state is called dynamic equilibrium, which is essential for maintaining overall...
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Diffusion01:21

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Diffusion is a type of passive transport. In passive transport, a substance tends to move from an area of high concentration to an area of low concentration until the concentration is equal across the space. For example, take the diffusion of substances through the air. When someone opens a perfume bottle in a room filled with people, the perfume is at its highest concentration in the bottle and is at its lowest at the edges of the room. The perfume vapor will diffuse, or spread away, from the...
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Behavior of Gas Molecules: Molecular Diffusion, Mean Free Path, and Effusion03:48

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Although gaseous molecules travel at tremendous speeds (hundreds of meters per second), they collide with other gaseous molecules and travel in many different directions before reaching the desired target. At room temperature, a gaseous molecule will experience billions of collisions per second. The mean free path is the average distance a molecule travels between collisions. The mean free path increases with decreasing pressure; in general, the mean free path for a gaseous molecule will be...
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Passive Diffusion: Overview and Kinetics01:17

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Passive diffusion is a critical process that allows small lipophilic drugs to cross the cell membrane along a concentration gradient. This mechanism's efficiency depends on four primary factors: the membrane's surface area, the drug's lipid-water partition coefficient, the concentration gradient, and the membrane's thickness.
When administered orally, drugs establish a substantial concentration gradient between the gastrointestinal (GI) lumen and the bloodstream, expediting...
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The Quantum-Mechanical Model of an Atom02:45

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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.
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Equilibrium Conditions for a Particle01:23

Equilibrium Conditions for a Particle

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When an object is in equilibrium, it is either at rest or moving with a constant velocity. There are two types of equilibrium: static and dynamic. Static equilibrium occurs when an object is at rest, while dynamic equilibrium occurs when an object is moving with a constant velocity. In both cases, there must be a balance of forces acting on the object.
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Quantum Annealing via Environment-Mediated Quantum Diffusion.

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  • 1Google, Venice, California 90291, USA.

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Quantum diffusion in open systems offers an efficient quantum annealing method. This approach, utilizing diffusion-mediated recombination, can solve optimization problems faster than traditional methods.

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Statistical mechanics

Background:

  • Quantum annealing is a metaheuristic optimization algorithm.
  • Open quantum systems are challenging for maintaining quantum coherence.
  • Quantum critical points are unique states of matter with exotic properties.

Purpose of the Study:

  • To investigate quantum diffusion as a mechanism for quantum annealing.
  • To explore the behavior of open quantum systems near quantum critical points.
  • To compare the efficiency of diffusion-mediated quantum annealing with other methods.

Main Methods:

  • Simulating an Ising spin chain coupled to a bosonic bath.
  • Applying a monotonically decreasing transverse field.
  • Analyzing excitation diffusion and spatial correlations.

Main Results:

  • Quantum diffusion near a quantum critical point enables efficient quantum annealing.
  • Excitation diffusion slows down below the quantum critical region, causing spatial correlations.
  • Diffusion-mediated quantum annealing shows potential for faster optimization than closed-system methods or Glauber dynamics.

Conclusions:

  • Quantum diffusion in open systems provides an efficient route to quantum annealing.
  • The observed slowing of excitation diffusion is key to the annealing process.
  • This method offers a promising alternative for solving complex optimization problems.