Realizing Topological Quantum Walks on NISQ Digital Quantum Hardware
- URL: http://arxiv.org/abs/2402.18685v1
- Date: Wed, 28 Feb 2024 20:05:14 GMT
- Title: Realizing Topological Quantum Walks on NISQ Digital Quantum Hardware
- Authors: Mrinal Kanti Giri, Sudhindu Bikash Mandal, Bhanu Pratap Das
- Abstract summary: We study the quantum walk on the off-diagonal Aubry-Andre-Harper (AAH) lattice with quasiperiodic modulation using a digital quantum computer.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We study the quantum walk on the off-diagonal Aubry-Andre-Harper (AAH)
lattice with quasiperiodic modulation using a digital quantum computer. Our
investigation starts with exploring the single-particle quantum walk, where we
study various initial states, hopping modulation strengths, and phase factors
Initiating the quantum walk with a particle at the lattice edge highlights the
robustness of the edge state due to the topological nature of the AAH model and
reveals how this edge state is influenced by the phase factor. Conversely, when
a particle starts the quantum walk from the lattice bulk, we observe the bulk
walker being repelled from the edge, especially in the presence of strong
hopping modulation. Furthermore, we investigate the quantum walk of two
particles with nearest-neighbor interaction, emphasizing the repulsion between
edge and bulk walkers caused by the interaction. Also, we explore the dynamics
of two interacting particles in the lattice bulk and find interesting bulk
localization through the formation of bound states influenced by the combined
effect of hopping modulation and nearest-neighbor interaction. These features
are analyzed by studying physical quantities like density evolution, quantum
correlation, and participation entropy, and exploring their potential
applications in quantum technologies.
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