Quantum entanglement
Atomic claims
Quantum entanglement is a property of composite quantum systems whose joint state cannot be written as a product of states of the individual subsystems.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
Measurements on entangled subsystems show correlations that violate Bell inequalities.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
✓
Gemini 2.5 Pro
(0.98)
No local hidden-variable theory can reproduce the correlations shown by measurements on entangled subsystems.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
Entanglement is a resource in quantum information science.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
Entanglement underpins quantum teleportation.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
Entanglement underpins some quantum key distribution protocols.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
Albert Einstein, Boris Podolsky and Nathan Rosen argued in 1935 that correlations between spatially separated systems implied quantum mechanics was incomplete.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
✓
Gemini 2.5 Pro
(0.98)
Erwin Schrödinger introduced the term 'entanglement' in 1935.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
✓
Gemini 2.5 Pro
(0.98)
Erwin Schrödinger called entanglement the characteristic trait of quantum mechanics.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
A pure bipartite state is entangled if and only if it is not a product state.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
A mixed state is entangled if it is not a convex combination of product states.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
John Stewart Bell proved in 1964 that any local hidden-variable theory obeys inequalities that quantum-mechanical predictions violate.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
Clauser, Horne, Shimony and Holt derived an experimentally testable form of Bell's inequality (CHSH).
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
The CHSH inequality has a local bound of 2.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
Quantum mechanics limits the CHSH value to 2√2.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
Freedman and Clauser reported the first experimental violation of a Bell-type inequality.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
Aspect, Dalibard and Roger reported a violation of a Bell-type inequality with analyser settings changed during the photons' flight.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
Three experiments in 2015 reported violations of Bell-type inequalities that closed the detection and locality loopholes simultaneously.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
Entanglement alone cannot be used to transmit information.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
Quantum teleportation requires a classical communication channel in addition to entanglement.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
Quantum teleportation was proposed in 1993.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
Quantum teleportation was demonstrated experimentally with photons in 1997.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
Artur Ekert proposed a quantum key distribution protocol in 1991 whose security is tested by a Bell inequality violation.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
Quantum entanglement is monogamous.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
For three qubits, the entanglement of subsystem A with subsystem B constrains the entanglement of subsystem A with subsystem C.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
The satellite Micius distributed entangled photon pairs to ground stations about 1,200 km apart.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
The 2022 Nobel Prize in Physics was awarded to Alain Aspect, John Clauser and Anton Zeilinger.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
✓
Gemini 2.5 Pro
(0.98)
The 2022 Nobel Prize in Physics was awarded for experiments with entangled photons establishing the violation of Bell inequalities.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
✓
Gemini 2.5 Pro
(0.98)
The 2022 Nobel Prize in Physics was awarded for pioneering quantum information science.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
Entanglement is fragile under interaction with the environment, known as decoherence.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
Decoherence is a main obstacle to large-scale quantum computing.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
Bell inequality violations are experimentally established.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
Quantum mechanics correctly predicts the observed correlations of Bell inequality violations.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
What Bell inequality violations imply physically is contested.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
Some physical interpretations of Bell inequality violations involve nonlocal influences, such as Bohmian mechanics.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
Some physical interpretations of Bell inequality violations involve abandoning definite pre-measurement values.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
Many-worlds accounts of Bell inequality violations deny single outcomes.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
Superdeterminism denies the independence of measurement settings.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
No current experiment discriminates between the physical interpretations of Bell inequality violations.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
Whether 'nonlocality' is the correct description for Bell inequality violations is contested.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
Some authors hold that Bell's theorem rules out locality itself.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
The 'freedom-of-choice' assumption cannot be fully closed by experiment.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
Superdeterminism remains logically possible.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
Superdeterminism has few proponents.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Claude Opus 4.8
(1.00)
Quantum entanglement is a physical phenomenon in which a group of particles interact or share spatial proximity such that the quantum state of each particle cannot be described independently of the state of the others.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Gemini 2.5 Pro
(0.98)
A measurement performed on one particle in an entangled system instantaneously determines the physical properties of its partners, regardless of the physical distance separating them.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Gemini 2.5 Pro
(0.98)
Non-local correlation is a foundational feature of quantum mechanics.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Gemini 2.5 Pro
(0.98)
Quantum entanglement forms the basis for emerging technologies in quantum computing.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Gemini 2.5 Pro
(0.98)
Albert Einstein, Boris Podolsky, and Nathan Rosen published a paper in 1935 known as the 'EPR paper'.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Gemini 2.5 Pro
(0.98)
Einstein, Podolsky, and Rosen argued that quantum mechanics was incomplete because it predicted non-local interactions.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Gemini 2.5 Pro
(0.98)
Einstein, Podolsky, and Rosen termed non-local quantum interactions 'spooky action at a distance.'
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Gemini 2.5 Pro
(0.98)
Schrödinger coined the term 'entanglement' from the German word 'Verschränkung'.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Gemini 2.5 Pro
(0.98)
Schrödinger used the term 'entanglement' to describe the non-independent quantum states of separated particles.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Gemini 2.5 Pro
(0.98)
In quantum mechanics, variables such as particle spin or polarization do not have definite values until they are measured.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Gemini 2.5 Pro
(0.98)
When one particle in an entangled pair is measured, the outcome is random.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Gemini 2.5 Pro
(0.98)
When one particle in an entangled pair is measured, the corresponding measurement on the second particle is perfectly correlated or anti-correlated with the first.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Gemini 2.5 Pro
(0.98)
Physicist John Stewart Bell formulated Bell's theorem in 1964.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Gemini 2.5 Pro
(0.98)
Bell's theorem proves mathematically that the predictions of quantum mechanics regarding entanglement cannot be reproduced by any theory relying on local hidden variables.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Gemini 2.5 Pro
(0.98)
A 'local hidden-variable theory' posits that particles contain pre-existing, undetected properties that dictate their states upon measurement.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Gemini 2.5 Pro
(0.98)
Local hidden-variable theories attempt to preserve classical locality.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Gemini 2.5 Pro
(0.98)
John Clauser and Stuart Freedman conducted the first major experimental test of Bell's theorem in 1972.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Gemini 2.5 Pro
(0.98)
Clauser and Freedman used entangled photons in their 1972 experiment to demonstrate violations of Bell inequalities.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Gemini 2.5 Pro
(0.98)
Alain Aspect and his research team performed an experiment that rapidly switched measurement settings while entangled photons were in flight in 1982.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Gemini 2.5 Pro
(0.98)
The 1982 experiment by Alain Aspect and his team closed a significant 'locality loophole' in earlier Bell tests.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Gemini 2.5 Pro
(0.98)
The 'no-communication theorem' is a mathematical proof demonstrating that quantum entanglement cannot be utilized to transmit classical information faster than the speed of light.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Gemini 2.5 Pro
(0.98)
Anton Zeilinger's research group demonstrated quantum teleportation in 1997.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Gemini 2.5 Pro
(0.98)
Zeilinger's 1997 experiment utilized an entangled pair to transfer the quantum state of a photon to a distant location.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Gemini 2.5 Pro
(0.98)
Entanglement is a required resource for quantum cryptographic protocols such as Ekert91 (E91).
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Gemini 2.5 Pro
(0.98)
The Ekert91 (E91) protocol uses entangled pairs to generate secure encryption keys.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Gemini 2.5 Pro
(0.98)
The underlying physical mechanism of quantum entanglement remains highly contested among physicists and philosophers.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Gemini 2.5 Pro
(0.98)
The standard Copenhagen interpretation posits an instantaneous, non-local 'collapse' of the wave function upon measurement.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Gemini 2.5 Pro
(0.98)
The Many-Worlds interpretation argues that the wave function never collapses.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Gemini 2.5 Pro
(0.98)
The Many-Worlds interpretation posits that the observer and the measured system become entangled.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Gemini 2.5 Pro
(0.98)
The Many-Worlds interpretation posits that measurement splits reality into non-interacting branches.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Gemini 2.5 Pro
(0.98)
De Broglie-Bohm (pilot-wave) theory interprets quantum correlations through deterministic, explicitly non-local hidden variables.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Gemini 2.5 Pro
(0.98)
There is an ongoing debate regarding whether the quantum state represents an objective physical reality or merely an observer's information about the system.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Gemini 2.5 Pro
(0.98)
The ontic view proposes that the quantum state represents an objective physical reality.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Gemini 2.5 Pro
(0.98)
The epistemic view proposes that the quantum state merely represents an observer's information or knowledge about the system.
AI Panel: 3 AIs · 1 independent source ⓘ
✓
Gemini 2.5 Pro
(0.98)
External references: Wikidata Q215675