Related Experiment Video
Updated: Nov 10, 2025
06:37
Quantifying Cytoskeleton Dynamics Using Differential Dynamic Microscopy
Published on: June 15, 2022
3.9K
Quantum Speed Limit and Divisibility of the Dynamical Map
Jose Teittinen1, Sabrina Maniscalco1,2,3
1Turku Centre for Quantum Physics, Department of Physics and Astronomy, University of Turku, FI-20014 Turku, Finland.
Entropy (Basel, Switzerland)
|April 3, 2021
Summary
Quantum systems can evolve faster by exploiting non-Markovianity to lower the quantum speed limit (QSL). This study reveals that speed-ups are also possible under P- and CP-divisible dynamics, not just during transitions to non-P-divisible states.
Area of Science:
- Quantum information science
- Quantum dynamics
- Quantum thermodynamics
Background:
- The quantum speed limit (QSL) defines the minimum time for quantum state evolution.
- Non-Markovian dynamics can potentially reduce the QSL, but this effect is not universally observed.
- The role of P- and CP-divisibility in quantum dynamics and QSL is not fully understood.
Purpose of the Study:
- To investigate the relationship between quantum speed limits and non-Markovianity.
- To explore the impact of P- and CP-divisibility on quantum speed-up.
- To determine if quantum speed-up is exclusively linked to transitions between P-divisible and non-P-divisible dynamics.
Main Methods:
- Analysis of quantum dynamical maps.
- Theoretical investigation of P- and CP-divisibility conditions.
- Mathematical formulation of quantum speed limits under different dynamical regimes.
Main Results:
- Quantum speed-up is achievable even under P- and CP-divisible quantum dynamics.
- The observed speed-up is not solely dependent on the transition from P-divisible to non-P-divisible dynamics.
- Non-Markovianity's role in reducing QSL is further elucidated.
Conclusions:
- P- and CP-divisibility of dynamical maps do not preclude quantum speed-up.
- Quantum speed-up is a more general phenomenon than previously thought, not restricted to specific non-Markovian transitions.
- This work deepens the understanding of quantum dynamics and its limitations.
Related Concept Videos
01:30Introduction to Limits
54
A limit describes the value a function approaches as its input moves closer to a particular point. Even when a function is undefined at a specific value, limits allow us to analyze its behavior near that point. This concept is fundamental in calculus and essential for understanding continuity, derivatives, and integrals.Mathematically, a function f(x) has a limit L at x = a if its values L approach x as x gets arbitrarily close to a. This is written as:This notation expresses that the function...
54
01:19Limits with Oscillating Discontinuities
58
An oscillating discontinuity is a type of discontinuity in which a function’s values fluctuate infinitely often as the input approaches a particular point. Unlike jump discontinuities, where the function suddenly shifts between two values, or infinite discontinuities, where the function diverges without bound, an oscillating discontinuity arises from rapid back-and-forth variation. Because the function never stabilizes toward a single value, no finite limit exists at that point.One of the...
58
02:32The de Broglie Wavelength
31.4K
In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
31.4K
04:08The Uncertainty Principle
29.7K
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...
29.7K
01:27Distribution of Molecular Speeds
4.4K
The motion of molecules in a gas is random in magnitude and direction for individual molecules, but a gas of many molecules has a predictable distribution of molecular speeds. This predictable distribution of molecular speeds is known as the Maxwell-Boltzmann distribution. The distribution of molecular speeds in liquids is comparable to that of gases but not identical and can help to understand the phenomenon of the boiling and vapor pressure of a liquid. Consider that a molecule requires a...
4.4K
01:17Space-Time Curvature and the General Theory of Relativity
3.6K
In 1905, Albert Einstein published his special theory of relativity. According to this theory, no matter in the universe can attain a speed greater than the speed of light in a vacuum, which thus serves as the speed limit of the universe.
This has been verified in many experiments. However, space and time are no longer absolute. Two observers moving relative to one another do not agree on the length of objects or the passage of time. The mechanics of objects based on Newton's laws of...
This has been verified in many experiments. However, space and time are no longer absolute. Two observers moving relative to one another do not agree on the length of objects or the passage of time. The mechanics of objects based on Newton's laws of...
3.6K