Physics:Quantum No-cloning theorem: Difference between revisions

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|image=[[File:Quantum_No_cloning_theorem_educational_yellow.png|430px|The no-cloning theorem: an unknown quantum state cannot be copied perfectly by a physical operation.]]
|image=[[File:Quantum_No_cloning_theorem_educational_yellow.png|430px|The no-cloning theorem: an unknown quantum state cannot be copied perfectly by a physical operation.]]
|text='''Quantum No-cloning theorem''' is a planned ScholarlyWiki page in the Quantum Collection about the no-cloning theorem in quantum information.
|text=The no-cloning theorem is a Book I topic in the Quantum Collection. It states that an arbitrary unknown quantum state cannot be copied perfectly by any physical process allowed by quantum mechanics. The reason is the linear structure of quantum evolution: a device that copies two known states cannot also copy every superposition of them. No-cloning is a basic difference between quantum and classical information. It underlies the security of quantum key distribution, limits error correction strategies, shapes teleportation protocols, and clarifies why measurement generally disturbs unknown quantum states.
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== Overview ==
== Overview ==

Latest revision as of 22:58, 23 May 2026

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The no-cloning theorem is a Book I topic in the Quantum Collection. It states that an arbitrary unknown quantum state cannot be copied perfectly by any physical process allowed by quantum mechanics. The reason is the linear structure of quantum evolution: a device that copies two known states cannot also copy every superposition of them. No-cloning is a basic difference between quantum and classical information. It underlies the security of quantum key distribution, limits error correction strategies, shapes teleportation protocols, and clarifies why measurement generally disturbs unknown quantum states.

Overview

Placeholder: explain why linear quantum evolution forbids perfect copying of an arbitrary unknown quantum state.

Key ideas

Placeholder: cover linearity, unknown states, quantum copying limits, cryptography, measurement disturbance.

Statement of the theorem

Placeholder: develop this section with definitions, examples, formulas, and links to related Quantum Collection pages.

Simple linearity argument

Placeholder: develop this section with definitions, examples, formulas, and links to related Quantum Collection pages.

Consequences for cryptography

Placeholder: develop this section with definitions, examples, formulas, and links to related Quantum Collection pages.

Relation to measurement

Placeholder: develop this section with definitions, examples, formulas, and links to related Quantum Collection pages.

See also

Table of contents (217 articles)

Index

Full contents

References


Author: Harold Foppele


Source attribution: Physics:Quantum No-cloning theorem

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