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Trapped Ion Quantum Computing
Quantum Simulation
Evolution of Quantum Resources in Quantum-walk-based Search Algorithm
arXiv
Authors: Meng Li, Xian Shi
Year
2023
Paper ID
54267
Status
Preprint
Abstract Read
~2 min
Abstract Words
95
Citations
N/A
Abstract
Quantum walk is fundamental to designing many quantum algorithms. Here we consider the effects of quantum coherence and quantum entanglement for the quantum walk search on the complete bipartite graph. First, we numerically show the complementary relationship between the success probability and the two quantum resources (quantum coherence and quantum entanglement). We also provide theoretical analysis in the asymptotic scenarios. At last, we discuss the role played by generalized depolarizing noises and find that it would influence the dynamics of success probability and quantum coherence sharply, which is demonstrated by theoretical derivation and numerical simulation.
Why This Paper Matters
- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
- It adds a 2023 reference point for readers tracking recent quantum research.
- Quantum walk is fundamental to designing many quantum algorithms.
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