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Related Concept Videos

The Phase Rule01:20

The Phase Rule

The phase rule describes the relationship between the variance (degrees of freedom), the number of components, and the number of phases in a system at equilibrium.Variance is a concept that denotes the number of independent intensive properties (properties are those that do not depend on the amount of material in the system), such as temperature, pressure, and composition, that can be altered without impacting the number of phases in equilibrium.In a single-component system, such as pure water,...
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...
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.
Phase Transitions02:31

Phase Transitions

Whether solid, liquid, or gas, a substance's state depends on the order and arrangement of its particles (atoms, molecules, or ions). Particles in the solid pack closely together, generally in a pattern. The particles vibrate about their fixed positions but do not move or squeeze past their neighbors. In liquids, although the particles are closely spaced, they are randomly arranged. The position of the particles are not fixed—that is, they are free to move past their neighbors to occupy...
Phase Transitions01:21

Phase Transitions

A phase transition is the process in which a substance changes from one state of matter to another, like from a solid to a liquid, liquid to gas, or vice versa, at a specific temperature and under given pressure conditions. This change is spontaneous and is affected by alterations in temperature and pressure. These parameters impact the strength of the forces between molecules (intermolecular forces) in the substance.During a phase transition, both the initial and final phases of the substance...
Interpreting ¹H NMR Signal Splitting: The (n + 1) Rule01:10

Interpreting ¹H NMR Signal Splitting: The (n + 1) Rule

In the AX proton spin system, proton A can sense the two spin states of a coupled proton X, resulting in a doublet NMR signal with two peaks of equal (1:1) intensity. When proton A is coupled to two equivalent protons (AX2 spin system), the spin states of each X can be aligned with or against the external field, creating three possible scenarios. This results in a 1:2:1  triplet signal, where the central peak corresponds to the chemical shift of A and is twice as large or intense as the others.

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Related Experiment Video

Updated: May 22, 2026

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
05:30

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

Quantum phases with differing computational power.

Jian Cui1, Mile Gu, Leong Chuan Kwek

  • 1Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China. cuijian@iphy.ac.cn

Nature Communications
|May 3, 2012
PubMed
Summary
This summary is machine-generated.

Quantum phase transitions significantly alter quantum information processing capabilities. Certain phases allow simulation via local operations, while others enable complex multi-body interactions crucial for quantum computation.

Related Experiment Videos

Last Updated: May 22, 2026

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
05:30

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

Area of Science:

  • Quantum Information Science
  • Condensed Matter Physics
  • Quantum Computation

Background:

  • Quantum phase transitions are linked to quantum information processing.
  • Limited understanding exists on how different quantum phases affect information processing capacity.
  • Quantum information concepts offer new indicators for quantum phase transitions.

Purpose of the Study:

  • To investigate if quantum phase transitions create distinct quantum phases with varying information processing capacities.
  • To explore the implications of these transitions for simulating quantum systems.

Main Methods:

  • Analyzing the XY model under adiabatic perturbations of an external magnetic field.
  • Comparing simulation capabilities using local operations and classical communication across different quantum phases.
  • Identifying transitions from locally simulatable dynamics to non-local interactions.

Main Results:

  • Demonstrated quantum phase transitions that qualitatively change the ability to simulate quantum systems.
  • Showcased that in specific quantum phases of the XY model, adiabatic perturbations are locally simulatable.
  • Revealed that in other phases, these perturbations lead to coherent non-local interactions.

Conclusions:

  • Quantum phase transitions can lead to distinct quantum phases with different computational capabilities.
  • The transition to non-local interactions is key for potential advantages in adiabatic quantum computation.
  • Understanding these phase transitions is critical for advancing quantum computing.