Measurement induced quantum walks on an IBM Quantum Computer

Abstract

We study a quantum walk of a single particle that is subject to stroboscopic projective measurements on a graph with two sites. This two-level system is the minimal model of a measurement induced quantum walk. The mean first detected transition and return time are computed on an IBM quantum computer as a function of the hopping matrix element between the sites and the on-site potential. The experimentally monitored quantum walk reveals the theoretically predicted behavior, such as the quantization of the first detected return time and the strong increase of the mean first detected transition time near degenerate points, with high accuracy.

References in corpus (7)

• Universal computation by quantum walk
• Detection of a quantum particle on a lattice under repeated projective measurements
• First detected arrival of a quantum walker on an infinite line
• Active Readout Error Mitigation
• Measurement induced quantum walks
• Quantum random walk and tight-binding model subject to projective measurements at random times
• Randomly repeated measurements on quantum systems: Correlations and topological invariants of the quantum evolution

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