Phys. Rev. A 58, 3484–3490 (1998)Quantum cloning in d dimensionsReceived 2 April 1998; published in the issue dated November 1998 The quantum state space S over a d-dimensional Hilbert space is represented as a convex subset of a (D-1)-dimensional sphere SD-1⊂RD, where D=d2-1. Quantum transformations (CP maps) are then associated with the affine transformations of RD and N↦M cloners induce polynomial mappings. In this geometrical setting it is shown that an optimal cloner can be chosen to be covariant and induces a map between reduced density matrices given by a simple contraction of the associated D-dimensional Bloch vectors. © 1998 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.58.3484
DOI:
10.1103/PhysRevA.58.3484
PACS:
03.67.-a
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