Quantum Channel Certification with Incoherent Strategies

Understand

In the problem of quantum channel certification, we have black box access to a quantum process and would like to decide if this process matches some predefined specification or is $\varepsilon$-far from this specification.

• The objective is to achieve this task while minimizing the number of times the black box is used.
• Here, we focus on optimal incoherent strategies for two relevant extreme cases of channel certification.
• The first one is when the predefined specification is a unitary channel, e.g., a gate in a quantum circuit.