Equivalence determination of unitary operations

Understand

We study equivalence determination of unitary operations, a task analogous to quantum state discrimination.

• The candidate states are replaced by unitary operations given as a quantum sample, i.e., a black-box device implementing a candidate unitary operation, and the discrimination target becomes another black-box.
• The task is an instance of higher-order quantum computation with the black-boxes as input.
• The optimal error probability is calculated by semidefinite programs.