Demonstrating geometric phase acquisition in multi-path tunnel systems using a near-term quantum computer

Quantum computers have shown promise in simulating quantum many-body physics, even under the constraints that arise due to limitations in the number of qubits involved. Considering the effects of tunneling, backscattering and the accumulation of a geometric phase, we see the possibility of simulating weak anti-localization (WAL), in addition to the weak localization in a multi-path system. We show how a quantum simulator works through the construction of multiple scattering centers in closed paths and tunnel barriers yielding a large return probability (P-r) for electrons. A combination of inter- and intra-layer tunneling in a double-path circuit creates a phase reversal and subsequently the WAL effect. Incorporation of such arrangements of tunnel barriers can add a geometric phase and demonstrate Aharonov-Bohm-type phi(0) and phi(0)/2 oscillations in a ring and a tube, respectively. Finally, the angle dependence of P-r shows a phase reversal in the two-path circuit caused by the inter-path resonance.