Phys. Rev. A 64, 042308 (2001) [8 pages]Optimal nonuniversally covariant cloningReceived 29 January 2001; published 12 September 2001 We consider nonuniversal cloning maps, namely, cloning transformations that are covariant under a proper subgroup G of the universal unitary group U(d), where d is the dimension of the Hilbert space H of the system to be cloned. We give a general method for optimizing cloning for any cost function. Examples of applications are given for phase-covariant cloning (cloning of equatorial qubits and qutrits) and for the Weyl-Heisenberg group (cloning of “continuous variables”). © 2001 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.64.042308
DOI:
10.1103/PhysRevA.64.042308
PACS:
03.67.-a
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