Related Experiment Video
Updated: Apr 3, 2026
11:15
Applications of EEG Neuroimaging Data: Event-related Potentials, Spectral Power, and Multiscale Entropy
Published on: June 27, 2013
34.5K
Device-independent tests of entropy
Rafael Chaves1,2, Jonatan Bohr Brask3, Nicolas Brunner3
1Institute for Physics & FDM, University of Freiburg, 79104 Freiburg, Germany.
Physical Review Letters
|September 26, 2015
Summary
We demonstrate device-independent entropy testing for messages. Quantum communication requires less entropy than classical communication to explain observed data, enabling new quantum information processing applications.
Area of Science:
- Quantum Information Science
- Information Theory
- Causal Inference
Background:
- Device-independent (DI) protocols in quantum information processing aim to ensure security and functionality without trusting the internal workings of devices.
- Characterizing information flow, particularly entropy, is crucial for understanding the capabilities and limitations of communication channels.
- Prepare-and-measure scenarios are fundamental models for studying communication tasks.
Purpose of the Study:
- To develop methods for testing the entropy of communication in a device-independent manner.
- To establish lower bounds on communication entropy using observable data in prepare-and-measure settings.
- To compare the entropy requirements of classical versus quantum communication for reproducing observed data.
Main Methods:
- Utilizing causal inference networks to establish bounds on communication entropy.
- Employing convex optimization techniques to analyze and compare communication strategies.
- Analyzing data from prepare-and-measure scenarios with both classical and quantum communication assumptions.
Main Results:
- Two distinct methods are presented for placing lower bounds on communication entropy.
- The study shows that quantum communication offers an advantage over classical communication.
- Quantum communication requires lower entropy to reproduce given observable data compared to classical communication.
Conclusions:
- Device-independent entropy testing is feasible, offering a robust way to certify information properties.
- The findings highlight the potential of quantum communication in reducing information requirements.
- These methods pave the way for novel applications in device-independent quantum information processing.
More Related Videos
08:08Using Wavelet Entropy to Demonstrate how Mindfulness Practice Increases Coordination between Irregular Cerebral and Cardiac Activities
Published on: May 10, 2017
15.4K
11:00Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
Published on: July 19, 2016
12.0K
Related Concept Videos
02:39Entropy
38.0K
Salt particles that have dissolved in water never spontaneously come back together in solution to reform solid particles. Moreover, a gas that has expanded in a vacuum remains dispersed and never spontaneously reassembles. The unidirectional nature of these phenomena is the result of a thermodynamic state function called entropy (S). Entropy is the measure of the extent to which the energy is dispersed throughout a system, or in other words, it is proportional to the degree of disorder of a...
38.0K
01:18Entropy
3.8K
The first law of thermodynamics is quantitatively formulated via an equation relating the internal energy of a system, the heat exchanged by it, and the work done on it. A quantitative formulation of the second law of thermodynamics leads to defining a state function, the entropy.
When an ideal gas expands isothermally, the disorder in the gas increases. From the molecular perspective, the gas molecules have more volume to move around in.
Consider an infinitesimal step in the expansion, which...
When an ideal gas expands isothermally, the disorder in the gas increases. From the molecular perspective, the gas molecules have more volume to move around in.
Consider an infinitesimal step in the expansion, which...
3.8K
01:20Entropy and the Second Law of Thermodynamics
5.3K
The second law of thermodynamics can be stated quantitatively using the concept of entropy. Entropy is the measure of disorder of the system.
The relation between entropy and disorder can be illustrated with the example of the phase change of ice to water. In ice, the molecules are located at specific sites giving a solid state, whereas, in a liquid form, these molecules are much freer to move. The molecular arrangement has therefore become more randomized. Although the change in average...
The relation between entropy and disorder can be illustrated with the example of the phase change of ice to water. In ice, the molecules are located at specific sites giving a solid state, whereas, in a liquid form, these molecules are much freer to move. The molecular arrangement has therefore become more randomized. Although the change in average...
5.3K
01:26Entropy and the Second Law of Thermodynamics
271
Consider an isolated system in which a hot object is placed in contact with a cold one. This is an irreversible process that eventually leads both objects to reach the same equilibrium temperature. It is crucial to note that the constituents of any substance exhibit increased disorder at higher temperatures. As a cold substance absorbs heat, its constituents become more disordered. The energy transfer from a hotter object to a cooler one increases the system's disorder or randomness. This...
271
01:14The Entropy as a State Function
99
Consider an arbitrary process that moves between two specific states (A and B) in a cyclic manner. This process is reversible and broken down into smaller parts that each follow a Carnot cycle. A Carnot cycle has two isothermal (constant temperature) processes. During these processes, the ratio of the amount of heat transferred to their respective temperature remains constant. The other two processes in the Carnot cycle are also reversible but adiabatic, which means they occur without any heat...
99
01:14The Second Law of Thermodynamics
7.2K
In the quest to identify a property that may reliably predict the spontaneity of a process, a promising candidate has been identified: entropy. Scientists refer to the measure of randomness or disorder within a system as entropy. High entropy means high disorder and low energy. To better understand entropy, think of a student’s bedroom. If no energy or work were put into it, the room would quickly become messy. It would exist in a very disordered state, one of high entropy. Energy must be...
7.2K