no-cloning theorem
E590888
The no-cloning theorem is a fundamental result in quantum mechanics stating that it is impossible to create an identical copy of an arbitrary unknown quantum state.
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
no-go theorem
ⓘ
theorem in quantum mechanics ⓘ |
| allows | approximate quantum cloning with non-unit fidelity ⓘ |
| appliesTo |
arbitrary unknown quantum states
ⓘ
mixed quantum states ⓘ pure quantum states ⓘ |
| basedOn |
linearity of quantum mechanics
ⓘ
superposition principle ⓘ unitarity of quantum evolution ⓘ |
| concerns |
information-theoretic limits in quantum theory
ⓘ
quantum operations ⓘ quantum states ⓘ |
| constrains |
quantum broadcasting
ⓘ
quantum communication ⓘ quantum cryptography ⓘ quantum error correction ⓘ quantum information processing ⓘ quantum key distribution eavesdropping strategies ⓘ quantum teleportation protocols ⓘ |
| field |
quantum information theory
ⓘ
quantum mechanics NERFINISHED ⓘ |
| forbids |
deterministic perfect cloning of arbitrary unknown states
ⓘ
perfect cloning of non-orthogonal quantum states ⓘ |
| hasConsequence |
classical information can be copied but quantum information cannot be perfectly copied
ⓘ
prevents faster-than-light signalling via cloning of entangled states ⓘ prevents perfect amplification of unknown quantum states ⓘ quantum information is fundamentally different from classical information ⓘ unknown quantum states cannot be used as reusable program states ⓘ |
| holdsUnder |
linear quantum evolution
ⓘ
standard postulates of quantum mechanics ⓘ unitary quantum operations ⓘ |
| implies |
universal quantum cloning machine cannot exist
ⓘ
unknown quantum states cannot be perfectly copied ⓘ |
| mathematicallyExpressedAs | no unitary U exists such that U(|ψ⟩|0⟩) = |ψ⟩|ψ⟩ for all |ψ⟩ ⓘ |
| relatedTo |
Heisenberg uncertainty principle
NERFINISHED
ⓘ
no-broadcasting theorem NERFINISHED ⓘ no-communication theorem NERFINISHED ⓘ no-deleting theorem NERFINISHED ⓘ no-hiding theorem NERFINISHED ⓘ no-signalling principle ⓘ quantum entanglement ⓘ quantum error-correcting codes ⓘ quantum key distribution ⓘ quantum teleportation ⓘ |
| statedAs | it is impossible to create an identical copy of an arbitrary unknown quantum state ⓘ |
| supports |
impossibility of perfect quantum state discrimination in general
ⓘ
security of quantum key distribution ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.