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Quantum cloning and the capacity of the Pauli channel
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Quantum cloning and the capacity of the Pauli channel
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A family of quantum cloning machines is introduced that produce two approximate copies from a single quantum bit, while the overall input-to-output operation for each copy is a Pauli channel. A no-cloning inequality is derived, describing the balance between the quality of the two copies. This also provides an upper bound on the quantum capacity of the Pauli channel with probabilities $p_x$, $p_y$ and $p_z$. The capacity is shown to be vanishing if $(\sqrt{p_x},\sqrt{p_y},\sqrt{p_z})$ lies outside an ellipsoid whose pole coincides with the depolarizing channel that underlies the universal cloning machine.
Forward citations
Cited by 2 Pith papers
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Enhanced quantum capacity thresholds from symmetry
Generalizing a representation-theoretic framework to the full symmetric subspace yields the first improvement in 18 years to the quantum capacity threshold of the depolarizing channel, exceeding all prior gains combined.
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Enhanced quantum capacity thresholds from symmetry
First improvement in 18 years to the depolarizing channel quantum capacity threshold via symmetry-enhanced coherent information on rank-two symmetric states.
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