Abstract
Long-lived quantum speedup serves as a fundamental component for quantum algorithms. The quantum walk is identified as an ideal scheme to realize the long-lived quantum speedup. However, one finds that the duration of quantum speedup is too short in real systems to implement the quantum algorithms, for instance the speedup in the photosynthetic light-harvesting systems can last only dozens of femtoseconds. Here, we construct one plasmonic system with two-level molecules embodied in the hot spots of one-dimensional nanoparticle chains to realize the long-lived quantum speedup. The coherent and incoherent coupling parameters in the system are obtained by means of Green’s tensor technique. Our results reveal that the duration of quantum speedup in our scheme can exceed 500 fs under strong coherent coupling conditions. Moreover, our plasmonic system has far prospect in realizing high-dimensional quantum walk, which is very beneficial for quantum algorithms.
Highlights
Quantum information exhibits the advantage over its classical counterpart due to the appearance of the quantum speedup [1,2,3,4,5,6,7,8,9,10,11,12]
We find that among molecules inserted in our 1D nanoparticle chain, the competition between coherent/incoherent couplings and dissipations can largely influence the excitation of molecules
We investigate long-lived quantum speedup in molecules inserted in the gaps of 1D nanoparticle chain
Summary
Quantum information exhibits the advantage over its classical counterpart due to the appearance of the quantum speedup [1,2,3,4,5,6,7,8,9,10,11,12]. The ultrahigh efficient transport due to the quantum coherence has been observed in photosynthetic light-harvesting systems [16,17,18,19,20,21,22,23] These systems are treated as potential platforms to realize the continuoustime quantum walk and quantum speedup algorithms. We demonstrate that 1D continuous-time quantum walk can be constructed within a scheme of the nanoparticle chain involving plasmonic hot spots. Our implementation of continuous-time quantum walk based on such plasmonic nanostructures presents a new platform to realize the quantum speedup algorithms.
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