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Related Concept Videos

Computed Tomography01:10

Computed Tomography

Tomography refers to imaging by sections. Computed tomography (CT) is a non-invasive imaging technique that uses computers to analyze several cross-sectional X-rays to reveal minute details about structures in the body.
The technique was invented in the 1970s and is based on the principle that as X-rays pass through the body, they are absorbed or reflected at different levels. In the technique, a patient lies on a motorized platform while a computerized axial tomography (CAT) scanner rotates...
Electron Microscope Tomography and Single-particle Reconstruction01:07

Electron Microscope Tomography and Single-particle Reconstruction

Transmission electron microscopy (TEM) can be used to determine the 3D structure of biological samples with the help of techniques such as electron microscope tomography and single-particle reconstruction. While single-particle reconstruction can examine macromolecules and macromolecular complexes in vitro conditions only, tomography permits the study of cell components or small cells in vivo.
Electron Tomography
Electron tomography can be performed either in TEM or STEM (scanning transmission...
Imaging Studies III: Computed Tomography01:27

Imaging Studies III: Computed Tomography

DefinitionComputed Tomography (CT) of the genitourinary (GU) tract is a non-invasive imaging modality that utilizes X-rays and computer processing to generate detailed cross-sectional images of the urinary system, encompassing the kidneys, ureters, bladder, and adjacent structures such as the adrenal glands.PurposeCT scans of the GU tract serve several diagnostic and therapeutic purposes, including:Diagnosis of Urinary Tract Diseases: Detects kidney stones, tumors, cysts, and congenital...
Positron Emission Tomography01:29

Positron Emission Tomography

Positron emission tomography (PET) is a medical imaging technique involving radiopharmaceuticals — substances that emit short-lived radiation. Although the first PET scanner was introduced in 1961, it took 15 more years before radiopharmaceuticals were combined with the technique and revolutionized its potential.
One of the main requirements of a PET scan is a positron-emitting radioisotope, which is produced in a cyclotron and then attached to a substance used by the part of the body being...
Sampling Methods: Overview01:06

Sampling Methods: Overview

A sample refers to a smaller subset representative of a larger population. In analytical chemistry, studying or analyzing an entire population is often impractical or impossible. Therefore, samples are used to draw inferences and generalize the whole population. The sampling method selects individuals or items from a population to create a sample. Standard sampling methods include random, judgemental, systematic, stratified, and cluster sampling. 
In analytical chemistry, the choice of sampling...
Sampling Theorem01:15

Sampling Theorem

In signal processing, the analysis of continuous-time signals, denoted as x(t), often involves sampling techniques to convert these signals into discrete-time signals. This process is essential for digital representation and manipulation. A critical component in sampling is the train of impulses, characterized by the sampling interval and the sampling frequency. The relationship between these parameters and the original signal's properties dictates the success of the sampling process.

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Related Experiment Video

Updated: May 21, 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

Experimental quantum state tomography via compressed sampling.

Wei-Tao Liu1, Ting Zhang, Ji-Ying Liu

  • 1Department of Physics, College of Science, National University of Defense Technology, Changsha, People's Republic of China. wtliu@nudt.edu.cn

Physical Review Letters
|June 12, 2012
PubMed
Summary
This summary is machine-generated.

Quantum state tomography is resource-intensive. New methods using compressed sampling for pure states require fewer measurements and improve accuracy, offering a more efficient approach to quantum information processing.

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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Generation and Coherent Control of Pulsed Quantum Frequency Combs

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Last Updated: May 21, 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

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Area of Science:

  • Quantum Information Science
  • Quantum Computing
  • Quantum Optics

Background:

  • Quantum state tomography is essential for characterizing quantum systems.
  • Exponential resource scaling hinders tomography for large quantum systems.
  • Efficient tomography is crucial for advancing quantum technologies.

Purpose of the Study:

  • To develop efficient quantum state tomography methods for pure and nearly pure states.
  • To reduce measurement requirements compared to standard tomography.
  • To enhance the accuracy and noise robustness of state reconstruction.

Main Methods:

  • Proposed two novel state reconstruction methods: minimizing entropy and maximizing likelihood.
  • Employed the compressed sampling algorithm to solve optimization problems.
  • Conducted experiments on 4-qubit photonic states.

Main Results:

  • Achieved high fidelity with significantly fewer measurements than standard tomography.
  • Demonstrated that maximizing likelihood is more accurate and noise robust.
  • Validated the physical interpretability of both proposed methods.

Conclusions:

  • Developed efficient and robust methods for quantum state tomography.
  • Compressed sampling with entropy minimization or likelihood maximization offers a practical solution.
  • These advancements are vital for scalable quantum information processing.