A Single Quantum Cannot Be Cloned

Wootters, W. K., & Zurek, W. H. (1982). A Single Quantum Cannot Be Cloned. Nature, 299(5886), 802-803.

Type

Journal article

Intellectual base

Primary research

Year

1982

Volume

299

Issue

5886

Pages

802-803

DOI

10.1038/299802a0

DOI registrant

Springer Nature

Link

https://doi.org/10.1038/299802a0

Cited from

mathematics, physics

Cited by

3 citations across 3 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Axiomatic Incompatibility
  • In physics, the Heisenberg uncertainty principle forbids joint sharp position and momentum, and the no-cloning theorem forbids copying arbitrary unknown quantum states.

    This sourceProves the no-cloning theorem forbidding the copying of an arbitrary unknown quantum state.

    Supported in partVerified against the publisher's abstract

    The paper's own abstract states that the linearity of quantum mechanics forbids replicating an arbitrary unknown quantum state - the no-cloning clause - and says nothing about CAP, FLP or Heisenberg.

    “We show here that the linearity of quantum mechanics forbids such replication and that this conclusion holds for all quantum systems.”

    Read by an automated reader; not a human review. How support was checked

• Superposition

  • This sourceProves an unknown quantum superposition cannot be copied, showing fundamental constraints on superposition operations.

Domain-specific

• No-cloning theorem
  • … one unitary clones two nonorthogonal states forces their inner product to equal its square, possible only for identical or orthogonal states. to A quantum-protocol proof distinguishes copying classical basis labels, approximate cloning, teleportation and destructive measurement from forbidden universal cloning..

Verification

Does it exist? Confirmed. This work's DOI resolves to a registered record, which fixes its identity. That is all it fixes.

Does it back the claim? Read against the text for 1 of 3 citations: 1 supported in part. Each verdict is shown under its citation below, with what in the work backs the sentence.

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See how references were verified.

Registry ID ref:229d2a47aef6 · see in the full table