Related Experiment Video
Updated: Jul 13, 2025
12:19
Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source
Published on: April 4, 2017
8.4K
Quantifying the Intrinsic Randomness of Quantum Measurements
Gabriel Senno1,2, Thomas Strohm3, Antonio Acín1,4
1ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, 08860 Castelldefels, Barcelona, Spain.
Physical Review Letters
|October 13, 2023
Summary
This study explores quantum randomness and eavesdropping. We found that an eavesdropper
Area of Science:
- Quantum information theory
- Quantum measurement theory
- Foundations of quantum mechanics
Background:
- Quantum mechanics exhibits intrinsic randomness during measurement.
- Realistic quantum systems involve noise, introducing non-intrinsic stochasticity.
- Eavesdroppers (Eve) can exploit correlations to guess quantum measurement outcomes.
Purpose of the Study:
- To investigate an eavesdropper's maximum guessing probability in generalized quantum measurements.
- To analyze the impact of classical versus quantum correlations on eavesdropping strategies.
- To extend understanding of quantum randomness in the presence of noise and generalized measurements.
Main Methods:
- Modeling eavesdropping through classical or quantum correlations.
- Analyzing generalized measurements on mixed states.
- Calculating Eve's maximum guessing probability under different correlation strategies.
Main Results:
- Eve's maximum guessing probability depends on her correlation strategy (classical vs. quantum).
- This dependency arises specifically in generalized measurements with mixed states.
- The findings differ from scenarios involving projective measurements or pure states.
Conclusions:
- The nature of quantum randomness is nuanced when considering realistic noise and generalized measurements.
- An eavesdropper's advantage is sensitive to the type of correlations they can establish.
- This work clarifies the operational distinction between classical and quantum correlations in quantum information tasks.
Related Concept Videos
03:37Uncertainty in Measurement: Accuracy and Precision
73.8K
Scientists typically make repeated measurements of a quantity to ensure the quality of their findings and to evaluate both the precision and the accuracy of their results. Measurements are said to be precise if they yield very similar results when repeated in the same manner. A measurement is considered accurate if it yields a result that is very close to the true or the accepted value. Precise values agree with each other; accurate values agree with a true value.
73.8K
04:08The Uncertainty Principle
23.4K
Werner Heisenberg considered the limits of how accurately one can measure properties of an electron or other microscopic particles. He determined that there is a fundamental limit to how accurately one can measure both a particle’s position and its momentum simultaneously. The more accurate the measurement of the momentum of a particle is known, the less accurate the position at that time is known and vice versa. This is what is now called the Heisenberg uncertainty principle. He...
23.4K
01:04Random Error
899
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...
899
01:20Random and Systematic Errors
11.0K
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...
11.0K
00:59Uncertainty: Overview
570
In analytical chemistry, we often perform repetitive measurements to detect and minimize inaccuracies caused by both determinate and indeterminate errors. Despite the cares we take, the presence of random errors means that repeated measurements almost never have exactly the same magnitude. The collective difference between these measurements - observed values - and the estimated or expected value is called uncertainty. Uncertainty is conventionally written after the estimated or expected value.
570
00:59Propagation of Uncertainty from Random Error
704
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...
704