One is the no-cloning theorem for a single quantum.

Copying quantum information is not possible due to the no-cloning theorem.

Thus the no-cloning theorem holds in full generality.

The no-cloning theorem prevents us from using classical error correction techniques on quantum states.

This proves the no-cloning theorem.

Following no-cloning theorem, QKD only can provide 1:1 connection.

The no-cloning theorem says that it is impossible to create two copies of a state given a single copy of the state.

In a quantum setting, copying a state is not always possible (no-cloning theorem); a variant of the rewinding technique has to be used.

No-cloning theorem.

A stronger version of the no-cloning theorem and the no-deleting theorem provide permanence to quantum information.

Another way of stating the no-cloning theorem is that amplification of a quantum signal can only happen with respect to some orthogonal basis.

Like the no-cloning theorem this has important implications in quantum computing, quantum information theory and quantum mechanics in general.

The fact that a quantum state cannot be copied is ultimately guaranteed by its proof by the no-cloning theorem, which underlies the security of this system.

Finding the quantum capacity for is straightforward, as the quantum capacity vanishes as a direct result of the no-cloning theorem.

The proof of this statement uses the linearity of classical probability, and has exactly the same structure as the proof of the quantum no-cloning theorem.

The no-cloning theorem does not prevent superluminal communication via quantum entanglement, as cloning is a sufficient condition for such communication, but not a necessary one.

The no-cloning theorem is a result of quantum mechanics that forbids the creation of identical copies of an arbitrary unknown quantum state.

The single-reference property makes linear type systems suitable as programming languages for quantum computation, as it reflects the no-cloning theorem of quantum states.

In 1982 he proved the no-cloning theorem (independently discovered in the same year by William Wootters and Wojciech H. Zurek).

In 1995, Shor and Steane revived the prospects of quantum computing by independently devising the first quantum error correcting codes, which circumvent the no-cloning theorem.

Practical applications are made impossible due to the no-cloning theorem, and the fact that quantum field theories preserve causality, so that quantum correlations cannot be used to transfer information.

Chief among the results that Peres claimed stemmed from a refutation of Herbert's proposal was the no-cloning theorem, proved by Wootters, Zurek, and Dieks.

In the case of pure quantum states, it is a corollary of the no-cloning theorem: since quantum states cannot be copied in general, they cannot be broadcast.

According to Asher Peres and David Kaiser, the publication of the no-cloning theorem was prompted by a proposal of Nick Herbert for a superluminal communication device using quantum entanglement.

Quantum computing pioneer Asher Peres writes that the refutation of Herbert's ideas led to the development of the no-cloning theorem by William Wootters, Wojciech Zurek, and Dennis Dieks.