-element POVM is implemented as a sequence of
circuit modules. Each module performs a 2-element POVM. Two variations of the protocol are suggested, one optimal in terms of number of ancilla qubits, the other optimal in terms of number of qubit gate operations and quantum circuit depth. We use the protocol to implement
-element POVMs on two publicly available quantum computing devices. The results we obtain suggest that implementing non-trivial POVMs could be within the reach of the current noisy quantum computing devices.
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