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Related Concept Videos

Estimation of the Physical Quantities01:05

Estimation of the Physical Quantities

On many occasions, physicists, other scientists, and engineers need to make estimates of a particular quantity. These are sometimes referred to as guesstimates, order-of-magnitude approximations, back-of-the-envelope calculations, or Fermi calculations. The physicist Enrico Fermi was famous for his ability to estimate various kinds of data with surprising precision. Estimating does not mean guessing a number or a formula at random. Instead, estimation means using prior experience and sound...
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...
NMR Spectrometers: Resolution and Error Correction01:14

NMR Spectrometers: Resolution and Error Correction

When magnetic nuclei in a sample achieve resonance and undergo relaxation, the signal detected in NMR is an approximately exponential free induction decay. Fourier transform of an exponential decay yields a Lorentzian peak in the frequency domain. Lorentzian peaks in an NMR spectrum are defined by their amplitude, full width at half maximum, and position, where the peak width is governed by the spin-spin relaxation time alone. In real experiments, however, the applied magnetic field is rendered...
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Quantum Numbers02:43

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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.

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Related Experiment Video

Updated: Jun 8, 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

Improving quantum state estimation with mutually unbiased bases.

R B A Adamson1, A M Steinberg

  • 1Centre for Quantum Information Quantum Control and Institute for Optical Sciences, Department of Physics,60 St. George Street, University of Toronto, Toronto, Ontario, Canada, M5S 1A7.

Physical Review Letters
|September 28, 2010
PubMed
Summary
This summary is machine-generated.

Researchers demonstrated a new quantum state tomography method using mutually unbiased bases for improved two-qubit state estimation. This technique significantly reduces infidelity compared to standard methods, maximizing information extraction per measurement.

Related Experiment Videos

Last Updated: Jun 8, 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 Computing

Background:

  • Mutually unbiased bases (MUBs) are crucial for efficient quantum state estimation.
  • Maximizing information extraction and minimizing redundancy are key challenges in quantum measurements.

Purpose of the Study:

  • To experimentally demonstrate quantum state tomography using MUBs for two-qubit polarization states.
  • To showcase improved state estimation accuracy compared to standard measurement strategies.

Main Methods:

  • Experimental implementation of quantum state tomography for two-qubit polarization states.
  • Utilizing projections onto mutually unbiased bases for enhanced information extraction.
  • Comparative analysis against standard state estimation techniques.

Main Results:

  • First experimental demonstration of MUB-based quantum state tomography for two-qubit states.
  • Observed up to 1.84 ± 0.06 times lower infidelity compared to standard methods.
  • Demonstrated improved state estimation accuracy attributed to MUB measurement structure.

Conclusions:

  • Mutually unbiased bases offer a superior strategy for quantum state estimation.
  • The developed method enhances the precision and efficiency of characterizing quantum states.
  • This work paves the way for more robust quantum information processing and metrology.