Realizing topological quantum walks on NISQ digital quantum computer

• DOI: 10.1088/1402-4896/adb244
• Publication Date: 2025-02-04T22:59:07Z
• Authors: Mrinal Kanti Giri; Sudhindu Bikash M...
• Keywords: Quantum walk; Lattice (music)

Abstract We study the quantum walk on off-diagonal Aubry-André-Harper (AAH) lattice with periodic modulation using a digital computer. investigate various initial states at single-particle level, considering different hopping strengths and phase factors. Initiating particle edge reveals robustness of state, attributed to topological nature AAH model, displays influence factor this state. On other hand, when begins in bulk, we observe repulsion bulk walker from edge, especially under strong modulation. Furthermore, extend our investigation two particles nearest-neighbour (NN) interaction. show effect walkers originate due Additionally, are positioned nearest-neighbor sites modulation, they unexpectedly form local bound state very small interaction strength, highlighting unique interplay between setup. analyze these phenomena by examining physical quantities such as density evolution, two-particle correlation, participation entropy, discuss their potential applications technologies.