Abstract
We construct a probabilistic quantum cloning machine by a general unitary-reduction operation. With a postselection of the measurement results, the machine yields faithful copies of the input states. It is shown that the states secretly chosen from a certain set can be probabilistically cloned if and only if are linearly independent. We derive the best possible cloning efficiencies. Probabilistic cloning has a close connection with the problem of identification of a set of states, which is a type of outcome measurement on linearly independent states. The optimal efficiencies for this type of measurement are obtained.
- Received 19 February 1998
DOI:https://doi.org/10.1103/PhysRevLett.80.4999
©1998 American Physical Society