Physics – Quantum Physics
Scientific paper
2000-09-19
Physics
Quantum Physics
10 revtex pages, no figures
Scientific paper
10.1103/PhysRevA.63.052313
We show that for any Hilbert-space dimension, the optimal universal quantum cloner can be constructed from essentially the same quantum circuit, i.e., we find a universal design for universal cloners. In the case of infinite dimensions (which includes continuous variable quantum systems) the universal cloner reduces to an essentially classical device. More generally, we construct a universal quantum circuit for distributing qudits in any dimension which acts covariantly under generalized displacements and momentum kicks. The behavior of this covariant distributor is controlled by its initial state. We show that suitable choices for this initial state yield both universal cloners and optimized cloners for limited alphabets of states whose states are related by generalized phase-space displacements.
Braunstein Samuel L.
Buzek Vladimir
Hillery Mark
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