#### Room 117

#### Probabilistically Perfect Cloning of Two Pure States: Geometric Approach

#### Arindam Mallick

##### IMSc

*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.

Journal reference: journals.aps.org/prl/abstract/10.1103/PhysRevLett.116.200401

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