Related Experiment Video
Updated: Dec 12, 2025
07:56
A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
Published on: September 5, 2019
8.8K
Cost of Quantum Entanglement Simplified
Xin Wang1,2, Mark M Wilde3
1Institute for Quantum Computing, Baidu Research, Beijing 100193, China.
Physical Review Letters
|August 16, 2020
Summary
We introduce a new, efficiently computable measure for quantifying quantum entanglement. This measure precisely reflects the cost of preparing entangled states, offering a breakthrough in quantum information science.
Area of Science:
- Quantum Information Science
- Quantum Computing
- Quantum Physics
Background:
- Quantum entanglement is crucial for quantum information processing tasks like teleportation and quantum key distribution.
- Quantifying entanglement meaningfully and efficiently has been a long-standing challenge in quantum information theory.
Purpose of the Study:
- To introduce a novel entanglement measure with precise information-theoretic meaning.
- To develop an efficiently computable method for quantifying entanglement.
Main Methods:
- Introduced a new entanglement measure defined as the exact cost of preparing an entangled state.
- Utilized quantum operations that preserve the positivity of the partial transpose.
- Employed semidefinite programming for efficient computation of the entanglement measure.
Main Results:
- The new entanglement measure has a precise information-theoretic meaning.
- The measure is efficiently computable via semidefinite programming.
- The measure exhibits desirable properties like additivity and faithfulness.
Conclusions:
- This work provides a significant advancement in quantifying entanglement.
- The new measure offers fundamental insights into quantum state entanglement structure.
- It enables direct assessment and quantification of entanglement in quantum experiments.
Related Concept Videos
02:45The Quantum-Mechanical Model of an Atom
55.8K
Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
55.8K
04:08The Uncertainty Principle
30.7K
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...
30.7K
02:32The de Broglie Wavelength
32.4K
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...
32.4K
02:35Reaction Quotient
52.3K
The status of a reversible reaction is conveniently assessed by evaluating its reaction quotient (Q). For a reversible reaction described by m A + n B ⇌ x C + y D, the reaction quotient is derived directly from the stoichiometry of the balanced equation as
52.3K
02:43Quantum Numbers
48.2K
It is said that the energy of an electron in an atom is quantized; that is, it can be equal only to certain specific values and can jump from one energy level to another but not transition smoothly or stay between these levels.
48.2K
01:05Estimation of the Physical Quantities
7.0K
On many occasions, physicists, other scientists, and engineers need to make estimates of a particular quantity. These are sometimes referred to as guesstimates, order-of-magnitude approximations, back-of-the-envelope calculations, or Fermi calculations. The physicist Enrico Fermi was famous for his ability to estimate various kinds of data with surprising precision. Estimating does not mean guessing a number or a formula at random. Instead, estimation means using prior experience and sound...
7.0K