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Related Concept Videos

Atomic Nuclei: Nuclear Relaxation Processes01:23

Atomic Nuclei: Nuclear Relaxation Processes

In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis,  the precessing magnetic moments are randomly oriented around the z-axis. This...
Propagation of Uncertainty from Random Error00:59

Propagation of Uncertainty from Random Error

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...
Entropy Change in Reversible Processes01:10

Entropy Change in Reversible Processes

In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
The de Broglie Wavelength02:32

The de Broglie Wavelength

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...
Stability of Equilibrium Configuration01:23

Stability of Equilibrium Configuration

Understanding the stability of equilibrium configurations is a fundamental part of mechanical engineering. In any system, there are three distinct types of equilibrium: stable, neutral, and unstable.
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BIBO stability of continuous and discrete -time systems01:24

BIBO stability of continuous and discrete -time systems

System stability is a fundamental concept in signal processing, often assessed using convolution. For a system to be considered bounded-input bounded-output (BIBO) stable, any bounded input signal must produce a bounded output signal. A bounded input signal is one where the modulus does not exceed a certain constant at any point in time.
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Related Experiment Video

Updated: Jun 23, 2026

Gradient Echo Quantum Memory in Warm Atomic Vapor
10:00

Gradient Echo Quantum Memory in Warm Atomic Vapor

Published on: November 11, 2013

Stochastic decoherence of qubits.

K Wodkiewicz

    Optics Express
    |May 7, 2009
    PubMed
    Summary

    We explore quantum qubit decoherence using Bloch equations. A general decoherence process can be described by a 12-parameter stochastic map derived from the damping basis of a Master equation.

    Area of Science:

    • Quantum Information Science
    • Quantum Computing
    • Atomic Physics

    Background:

    • Quantum systems, like qubits, are susceptible to decoherence, losing their quantum properties due to environmental interactions.
    • Understanding and quantifying decoherence is crucial for developing robust quantum technologies.

    Purpose of the Study:

    • To investigate the stochastic decoherence of quantum bits (qubits).
    • To develop a general framework for describing qubit decoherence processes.

    Main Methods:

    • Utilized the Bloch equations and the Bloch sphere representation for a two-level atom.
    • Employed a Master equation to model the qubit's decoherence.
    • Constructed a stochastic map based on the damping basis associated with the Master equation.

    Related Experiment Videos

    Last Updated: Jun 23, 2026

    Gradient Echo Quantum Memory in Warm Atomic Vapor
    10:00

    Gradient Echo Quantum Memory in Warm Atomic Vapor

    Published on: November 11, 2013

    Main Results:

    • Demonstrated that general qubit decoherence can be characterized by a stochastic map.
    • Identified that this stochastic map depends on 12 independent parameters.
    • Showcased the utility of the damping basis in constructing the decoherence map.

    Conclusions:

    • The 12-parameter stochastic map provides a comprehensive description of qubit decoherence.
    • The damping basis offers a systematic approach to modeling complex decoherence dynamics.
    • This framework advances the understanding of quantum information degradation.