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Related Concept Videos

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.
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...
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...
Woodward–Hoffmann Selection Rules and Microscopic Reversibility01:34

Woodward–Hoffmann Selection Rules and Microscopic Reversibility

Electrocyclic reactions, cycloadditions, and sigmatropic rearrangements are concerted pericyclic reactions that proceed via a cyclic transition state. These reactions are stereospecific and regioselective. The stereochemistry of the products depends on the symmetry characteristics of the interacting orbitals and the reaction conditions. Accordingly, pericyclic reactions are classified as either symmetry-allowed or symmetry-forbidden. Woodward and Hoffmann presented the selection criteria for...
Reversible and Irreversible Processes01:14

Reversible and Irreversible Processes

The thermodynamic processes can be classified into reversible and irreversible processes. The processes that can be restored to their initial state are called reversible processes. It is only possible if the process is in quasi-static equilibrium, i.e., it takes place in infinitesimally small steps, and the system remains at equilibrium However, these are ideal processes and do not occur naturally. An ideal system undergoing a reversible process is always in thermodynamic equilibrium within...
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Synthetic division is an efficient algorithmic approach for dividing a polynomial by a linear binomial of the form x - c, where c is a real number. This method is helpful due to its streamlined process, which avoids the more cumbersome steps involved in the traditional long division of polynomials. It simplifies computation and serves as a practical tool for evaluating polynomials and identifying their factors.To perform synthetic division, one begins by listing the coefficients of the...

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Related Experiment Video

Updated: Jun 29, 2026

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
09:23

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

Experimentally feasible quantum erasure-correcting code for continuous variables.

J Niset1, U L Andersen, N J Cerf

  • 1QuIC, Ecole Polytechnique, CP 165, Université Libre de Bruxelles, 1050 Brussels, Belgium.

Physical Review Letters
|October 15, 2008
PubMed
Summary
This summary is machine-generated.

We developed a new quantum erasure-correcting code to protect light states from loss. This scheme allows for perfect recovery if losses are detected, or efficient filtration otherwise.

Related Experiment Videos

Last Updated: Jun 29, 2026

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
09:23

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

Area of Science:

  • Quantum information science
  • Quantum optics
  • Quantum error correction

Background:

  • Probabilistic losses in quantum channels degrade quantum coherent states.
  • Quantum error correction is crucial for reliable quantum information processing.
  • Continuous-variable (CV) quantum information offers unique advantages for encoding quantum states.

Purpose of the Study:

  • To introduce the first continuous-variable quantum erasure-correcting code.
  • To protect quantum coherent states of light from probabilistic losses.
  • To enable perfect recovery or efficient filtration of quantum states affected by losses.

Main Methods:

  • Devising a novel scheme for quantum erasure correction.
  • Implementing a decoder capable of state recovery upon detection of erasures.
  • Utilizing postselection with homodyne detection for an alternative filtration scheme.

Main Results:

  • Successful demonstration of a continuous-variable quantum erasure-correcting code.
  • Theoretical possibility of perfect recovery of quantum states when erasure occurrence is known.
  • Development of an efficient erasure-filtration scheme using postselection.

Conclusions:

  • The proposed scheme effectively protects quantum coherent states from probabilistic losses.
  • The developed code offers flexibility for either perfect state recovery or efficient filtration.
  • Experimental feasibility of the protocol is thoroughly investigated, paving the way for practical applications.