Probabilistically Perfect Cloning of Two Pure States: Geometric Approach

V. Yerokhin, A. Shehu, E. Feldman, E. Bagan, J. A. Bergou

Research output: Contribution to journalArticleResearchpeer-review

3 Citations (Scopus)


© 2016 American Physical Society. We solve the long-standing problem of making n perfect clones from m copies of one of two known pure states with minimum failure probability in the general case where the known states have arbitrary a priori probabilities. The solution emerges from a geometric formulation of the problem. This formulation reveals that cloning converges to state discrimination followed by state preparation as the number of clones goes to infinity. The convergence exhibits a phenomenon analogous to a second-order symmetry-breaking phase transition.
Original languageEnglish
Article number200401
JournalPhysical Review Letters
Issue number20
Publication statusPublished - 20 May 2016


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