We introduce a synthetic Mach-Zehnder interferometer for digitized quantum computing devices to probe fractional exchange statistics of anyonic excitations that appear in quantum spin liquids. Employing an IonQ quantum computer, we apply this scheme to the toric ladder, a quasi-one-dimensional version of the toric code. We observe interference patterns resulting from the movement of electric excitations in the presence and absence of magnetic ones. We model the noise in IonQ via depolarizing Lindbladian dynamics, and find quantitative agreement with the measurements obtained from the quantum device. The synthetic Mach-Zehnder interferometer can thus also serve as an effective means to probe the coherence length and time scales of multiqubit noisy quantum devices.

Close

PrevNext

View figure in article

• Anyons
• Quantum computation
• Quantum simulation
• Mach-Zehnder atom interferometry