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Related Concept Videos

Zeroth Law of Thermodynamics01:14

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Experimentally, if object A is in equilibrium with object B, and object B is in equilibrium with object C, then object A is in equilibrium with object C. That statement of transitivity is called the "zeroth law of thermodynamics." For example, a cold metal block and a hot metal block are both placed on a metal plate at room temperature. Eventually, the cold block and the plate will be in thermal equilibrium. In addition, the hot block and the plate will be in thermal equilibrium.
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The second law of thermodynamics can be stated quantitatively using the concept of entropy. Entropy is the measure of disorder of the system.
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A pure, perfectly crystalline solid possessing no kinetic energy (that is, at a temperature of absolute zero, 0 K) may be described by a single microstate, as its purity, perfect crystallinity,and complete lack of motion means there is but one possible location for each identical atom or molecule comprising the crystal (W = 1). According to the Boltzmann equation, the entropy of this system is zero.
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A thermodynamic system is a set of objects whose thermodynamic properties are of interest. The system is considered to be embedded in its surroundings or the environment. The system and its environment can exchange heat and do work on each other through a boundary that separates them. However, the immediate surroundings of the system interact with it directly and therefore have a much stronger influence on its behavior and properties.
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Atomic Nuclei: Nuclear Spin State Population Distribution01:14

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Near absolute zero temperatures, in the presence of a magnetic field, the majority of nuclei prefer the lower energy spin-up state to the higher energy spin-down state. As temperatures increase, the energy from thermal collisions distributes the spins more equally between the two states. The Boltzmann distribution equation gives the ratio of the number of spins predicted in the spin −½ (N−) and spin +½ (N+) states.
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Second Law of Thermodynamics02:49

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In the quest to identify a property that may reliably predict the spontaneity of a process, a promising candidate has been identified: entropy. Processes that involve an increase in entropy of the system (ΔS > 0) are very often spontaneous; however, examples to the contrary are plentiful. By expanding consideration of entropy changes to include the surroundings, a significant conclusion regarding the relation between this property and spontaneity may be reached. In thermodynamic...
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Gradient Echo Quantum Memory in Warm Atomic Vapor
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Quantum memory at nonzero temperature in a thermodynamically trivial system.

Yifan Hong1, Jinkang Guo1, Andrew Lucas2

  • 1Department of Physics and Center for Theory of Quantum Matter, University of Colorado, Boulder, CO, USA.

Nature Communications
|January 2, 2025
PubMed
Summary
This summary is machine-generated.

Certain classical and quantum codes offer passive error correction without thermodynamic phase transitions. Below a critical temperature, Gibbs sampling becomes slow, enabling fault-tolerant quantum error correction with finite circuits.

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Area of Science:

  • Quantum Information Science
  • Statistical Mechanics
  • Error Correction Codes

Background:

  • Passive error correction utilizes local information for information protection.
  • Classical and quantum models often rely on thermodynamic phase transitions for error correction.
  • Low-density parity check (LDPC) codes are crucial in classical and quantum information theory.

Purpose of the Study:

  • Investigate passive error correction in classical and quantum low-density parity check codes.
  • Explore the absence of thermodynamic phase transitions in these codes.
  • Identify alternative mechanisms for achieving passive quantum error correction.

Main Methods:

  • Analysis of classical and quantum low-density parity check codes.
  • Investigation of local Gibbs sampling dynamics.
  • Study of ergodicity-breaking dynamical transitions and mixing times.
  • Exploration of finite-depth circuit implementation.

Main Results:

  • Certain LDPC codes lack thermodynamic phase transitions at nonzero temperatures.
  • These codes exhibit dynamical transitions where Gibbs sampling time diverges below a critical temperature.
  • Slow Gibbs sampling enables fault-tolerant passive quantum error correction.
  • The proposed strategy is suitable for measurement-free quantum error correction.

Conclusions:

  • Passive quantum error correction can be achieved without thermodynamic phase transitions.
  • Ergodicity-breaking dynamical transitions provide a new route for error protection.
  • This approach offers a potential experimental advantage over traditional active feedback methods.