Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Errors in Taping01:18

Errors in Taping

261
Errors in taping arise from multiple factors that can significantly impact measurement accuracy in surveying. Misalignment of the tape, often due to human error, is one primary source. A skilled rear tapeman, using a telescope, can help correct alignment by guiding the head tapeman; however, human limitations still lead to small inaccuracies. These errors may include misplacement of pins or inaccurate tape readings due to common visual confusions, such as mistaking a six for a nine. Such...
261
Errors in Global Positioning System01:26

Errors in Global Positioning System

269
Global Positioning System (GPS) technology has revolutionized navigation and positioning, but its accuracy is often compromised by various errors. These errors, stemming from environmental, satellite, and receiver-related factors, require careful mitigation to ensure reliable performance across applications.Atmospheric ErrorsGPS signals travel through the Earth’s ionosphere and troposphere, introducing delays which affect accuracy. The ionosphere is strongly influenced by charged particles,...
269
Correlation01:09

Correlation

14.4K
In statistics, two variables are said to be correlated if the values of one variable are associated with the other variable. Depending on the relationship between two variables, correlation can be of three types– positive correlation, negative correlation, and zero correlation.
Two variables, for example, a and b, are said to be positively correlated if both variables move in the same direction. In other words, a positive correlation exists between two variables, a and b, if:
14.4K
Calibration Curves: Correlation Coefficient01:10

Calibration Curves: Correlation Coefficient

4.4K
In a linear calibration curve, there is a value called the calibration coefficient, denoted by 'r,' which measures the strength and the direction of association between two variables. The correlation coefficient value ranges from −1 to +1. A value of +1 indicates a perfect positive linear correlation, −1 denotes a perfect negative correlation, and 0 implies no correlation between the two variables. A positive correlation value establishes that as one variable increases, the...
4.4K
Random and Systematic Errors01:20

Random and Systematic Errors

14.2K
Scientists always try their best to record measurements with the utmost accuracy and precision. However, sometimes errors do occur. These errors can be random or systematic. Random errors are observed due to the inconsistency or fluctuation in the measurement process, or variations in the quantity itself that is being measured. Such errors fluctuate from being greater than or less than the true value in repeated measurements. Consider a scientist measuring the length of an earthworm using a...
14.2K
Random Error01:04

Random Error

7.6K
Random or indeterminate errors originate from various uncontrollable variables, such as variations in environmental conditions, instrument imperfections, or the inherent variability of the phenomena being measured. Usually, these errors cannot be predicted, estimated, or characterized because their direction and magnitude often vary in magnitude and direction even during consecutive measurements. As a result, they are difficult to eliminate. However, the aggregate effect of these errors can be...
7.6K

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Hand mental rotation reaction time reflects motor imagery strategy and predicts changes in finger dexterity after motor imagery.

Neuroreport·2026
Same author

Consideration of the appropriate prospective ECG-triggered scan mode in dual-source CT angiography examinations for coronary diagnosis in children with high heart rate: a phantom study.

Physica medica : PM : an international journal devoted to the applications of physics to medicine and biology : official journal of the Italian Association of Biomedical Physics (AIFB)·2026
Same author

Data-driven simulator of multi-animal behavior with unknown dynamics via reinforcement learning.

iScience·2026
Same author

MNISQ: A Large-Scale Quantum Circuit Dataset for Machine Learning in the NISQ Era.

Scientific data·2026
Same author

Impact of Caregiver Burden and Care Recipients' Activities of Daily Living Abilities on Caregivers' Occupational Dysfunction.

Occupational therapy international·2026
Same author

Nutritional Assessment of Older Female Inpatients With Hip Fracture Using Phase Angle: Calculation of Cutoff Values and Minimal Detectable Change.

Orthopedic nursing·2026
Same journal

Poly(bromophenol blue)/CoSn(OH)<sub>6</sub> cubic particles modified pencil graphite electrode for electrochemical determination of diphenhydramine.

Scientific reports·2026
Same journal

Dietary Chlorella, Spirulina, and acidifier modulate jejunal cytokine-related gene expression in broiler chickens.

Scientific reports·2026
Same journal

Perceived physical activity barriers in university students: associations with fatigue and eating behaviours.

Scientific reports·2026
Same journal

Refuge limitation structures habitat use in agricultural landscapes: evidence from Sunda pangolins.

Scientific reports·2026
Same journal

Lightweight stateless transaction verification with outsourced witness updates for UTXO blockchains.

Scientific reports·2026
Same journal

Efficacy of historical context and exogenous features on deep learning for cooling load forecasting in chilled water plants.

Scientific reports·2026
See all related articles

Related Experiment Video

Updated: Dec 31, 2025

Four-Dimensional CT Analysis Using Sequential 3D-3D Registration
05:05

Four-Dimensional CT Analysis Using Sequential 3D-3D Registration

Published on: November 23, 2019

8.4K

Not all physical errors can be linear CPTP maps in a correlation space.

Tomoyuki Morimae1, Keisuke Fujii

  • 1Controlled Quantum Dynamics Theory Group, Imperial College London, London SW7 2AZ, United Kingdom. morimae@gmail.com

Scientific Reports
|July 17, 2012
PubMed
Summary
This summary is machine-generated.

Quantum computational tensor networks simulate quantum computation in a correlation space. However, physical errors on qudits do not always translate to errors in this space, complicating fault-tolerant circuit simulations.

More Related Videos

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
13:44

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Published on: August 30, 2013

43.5K
Identification of Disease-related Spatial Covariance Patterns using Neuroimaging Data
14:27

Identification of Disease-related Spatial Covariance Patterns using Neuroimaging Data

Published on: June 26, 2013

16.1K

Related Experiment Videos

Last Updated: Dec 31, 2025

Four-Dimensional CT Analysis Using Sequential 3D-3D Registration
05:05

Four-Dimensional CT Analysis Using Sequential 3D-3D Registration

Published on: November 23, 2019

8.4K
Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
13:44

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Published on: August 30, 2013

43.5K
Identification of Disease-related Spatial Covariance Patterns using Neuroimaging Data
14:27

Identification of Disease-related Spatial Covariance Patterns using Neuroimaging Data

Published on: June 26, 2013

16.1K

Area of Science:

  • Quantum Information Science
  • Computational Physics
  • Quantum Computing

Background:

  • Measurement-based quantum computation (MBQC) utilizes entangled resource states.
  • Tensor networks, particularly matrix-product states, represent these resource states.
  • Universal quantum computation is performed within an abstract 'correlation space'.

Purpose of the Study:

  • To investigate the simulation of fault-tolerant quantum circuits within the tensor network framework.
  • To determine if physical errors on qudits can be accurately modeled as errors in the correlation space.

Main Methods:

  • Analysis of the tensor network representation of quantum computation.
  • Examination of how physical errors on qudits transform within the correlation space.

Main Results:

  • Not all physical errors on physical qudits manifest as linear, completely-positive trace-preserving (CPTP) errors in the correlation space.
  • This discrepancy poses a challenge for simulating fault-tolerant quantum circuits in this framework.

Conclusions:

  • The simulation of fault-tolerant quantum circuits in the correlation space of tensor networks is not straightforward for general resource states.
  • Existing theories of fault-tolerant quantum computation may require adaptation for tensor network simulations due to the nature of physical errors.