Adaptive POVM implementations and measurement error mitigation strategies for near-term quantum devices

Understand

We present adaptive measurement techniques tailored for variational quantum algorithms on near-term small and noisy devices.

• In particular, we generalise earlier "learning to measure" strategies in two ways.
• First, by considering a class of adaptive positive operator valued measures (POVMs) that can be simulated with simple projective measurements without ancillary qubits, we decrease the amount of required qubits and two-qubit gates.
• Second, by introducing a method based on Quantum Detector Tomography to mitigate the effect of noise, we are able to optimise the POVMs as well as to infer expectation values reliably in the currently available noisy quantum devices.