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Quantum entanglement

Quantum entanglement is a physics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Quantum entanglement rather than just read about it. In short: Quantum entanglement is the phenomenon in which the quantum state of each particle in a group cannot be described independently of the state of the others, even when the particles are separated by a large distance. The topic of quantum entanglement is at the heart of the disparity between classical physics and quantum physics: entanglement is a primary feature of quantum mechanics not present in classical mechanics.

Quantum entanglement — main illustration
Quantum entanglement — illustration

Key takeaways

  • Quantum entanglement belongs to physics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Quantum entanglement to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Quantum entanglement from memory before moving on to harder problems.

Reference excerpt

Quantum entanglement is the phenomenon in which the quantum state of each particle in a group cannot be described independently of the state of the others, even when the particles are separated by a large distance. The topic of quantum entanglement is at the heart of the disparity between classical physics and quantum physics: entanglement is a primary feature of quantum mechanics not present in classical mechanics. Measurements of physical properties such as position, momentum, spin, and polarization performed on entangled particles can, in some cases, be found to be perfectly correlated. For example, if a pair of entangled particles is generated such that their total spin is known to be zero, and one particle is found to have clockwise spin on a first axis, then the spin of the other particle, measured on the same axis, is found to be anticlockwise. This behavior gives rise to seemingly paradoxical effects: any measurement of a particle's properties results in an apparent and irreversible wave function collapse of that particle and changes the original quantum state. With entangled particles, such measurements affect the entangled system as a whole. Such phenomena were the subject of a 1935 paper by Albert Einstein, Boris Podolsky, and Nathan Rosen, and several papers by Erwin Schrödinger shortly thereafter, describing what came to be known as the EPR paradox. Einstein and others considered such behavior impossible, as it violated the local realism view of causality and argued that the accepted formulation of quantum mechanics must therefore be incomplete. Later, the counterintuitive predictions of quantum mechanics were verified in tests where polarization or spin of entangled particles were measured at separate locations, statistically violating Bell's inequality. This established that the correlations produced from quantum entanglement cannot be explained in terms of local hidden variables. Entanglement can produce statistical correlations between events in widely separated places, but it cannot be used for faster-than-light communication. Quantum entanglement has been demonstrated experimentally with photons, electrons, top quarks, molecules and even small diamonds. The use of quantum entanglement in communication and computation is an active area of research and development.

History

… excerpt ends here. Continue reading the full article.

Illustrations

Quantum entanglement: Spontaneous parametric down-conversion process can split photons into type II photon pairs with mutually perpendicular polarization.
Spontaneous parametric down-conversion process can split photons into type II photon pairs with mutually perpendicular polarization.
Quantum entanglement: Article headline regarding the Einstein–Podolsky–Rosen (EPR) paradox paper, in the 4 May 1935 issue of The New York Times
Article headline regarding the Einstein–Podolsky–Rosen (EPR) paradox paper, in the 4 May 1935 issue of The New York Times
Quantum entanglement: Entanglement of states from independent sources can be swapped through Bell state measurement.[83]: 341
Entanglement of states from independent sources can be swapped through Bell state measurement.[83]: 341

Worked examples

Example 1 — a first encounter with Quantum entanglement

Start with the simplest possible case. Write down what Quantum entanglement claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In physics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Quantum entanglement before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Quantum entanglement ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Quantum entanglement

In research
Quantum entanglement appears in physics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Quantum entanglement in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Quantum entanglement is common in secondary-school and first-year university syllabi. It links to neighbouring topics Quantum information science, Quantum measurement, so understanding it makes those chapters shorter.
In everyday life
Look for Quantum entanglement outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Quantum entanglement in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Quantum entanglement means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Quantum entanglement out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Quantum entanglement in simple terms?

Quantum entanglement is the phenomenon in which the quantum state of each particle in a group cannot be described independently of the state of the others, even when the particles are separated by a large distance. The topic of quantum entanglement is at the heart of the disparity between classical…

Why does Quantum entanglement matter?

Because it connects several physics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Quantum entanglement?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Quantum entanglement.

Tags

  • Quantum information science
  • Quantum measurement

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