LAUSR

We present an architecture to investigate wave-particle duality in $N$-path interferometers on a universal quantum computer involving as low as $2{log}_{2}N$ qubits and develop a measurement scheme that allows the efficient extraction of quantifiers of interference visibility and which-path information. We implement our algorithms for interferometers with up to $N=16$ paths in proof-of-principle experiments on a noisy intermediate-scale quantum (NISQ) device using down to $O({log}_{2}N)$ gates and despite increasing noise consistently observe a complementary behavior between interference visibility and which-path information. Our results are in accordance with our current understanding of wave-particle duality and allow its investigation for interferometers with an exponentially growing number of paths on future quantum devices beyond the NISQ era.