Mathematics Atlas

How Proof Is Made
Sign In
Text size
100%
Theme
Theorem

No-Cloning Theorem

Mathematical Physics

There is no physical process that can create an identical, independent copy of an arbitrary unknown quantum state. Proved by William Wootters and Wojciech Zurek, it is a basic structural fact of quantum mechanics with direct consequences for quantum cryptography and quantum information theory.

Facts
Statement
The no-cloning theorem states that it is impossible to create an independent, identical copy of an arbitrary unknown quantum state. 1
Proof Year
1982 1
James L. Park's closely related no-go theorem predates this, published in 1970; the named no-cloning theorem itself is dated to the independent 1982 proofs.
Classification
Statement Form
Impossibility Theorem 1
Connections

Has Statement Form

Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.

In Branch

Sources
1. No-Cloning Theorem (Wikipedia)
Wikimedia FoundationIntroduction
Quote, Introduction
The theorem is an evolution of the 1970 no-go theorem authored by James L. Park, in which he demonstrates that a non-disturbing measurement scheme which is both simple and perfect cannot exist (the same result would be independently derived in 1982 by William Wootters and Wojciech H. Zurek as well as Dennis Dieks the same year).
View the Source
Comments (0)
No comments yet. Be the first to share a thought.
Reader Challenges (0)
No disputes yet. Spotted an error or a better source? Open the first one.