Noise-enhanced quantum transport on a closed loop using quantum walks

Chandrashekar, C. M.; Busch, Thomas

doi:10.1007/s11128-014-0730-1

Cited by 7 publications

(6 citation statements)

References 51 publications

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“…In [37] the authors have considered quantum walk on a line with one or two moving sinks. More recently, enhancement of transport by noise in quantum walk on a closed loop was identified in [38]. In [39] the authors have found edge-state enhanced transport along the cut between the source and the absorption center in a two-dimensional quantum walk.…”

Section: Introductionmentioning

confidence: 98%

“…The authors have found that the particle has a non-zero chance to escape to infinity, in contrast to the classical result where the particle falls into the sink with certainty. This problem was later studied in a number of alternated configurations, coins a geometries [34][35][36][37][38][39]. Dependence of the absorption probability on the initial condition for quantum walk on finite line with two sinks was analyzed in [34].…”

Section: Introductionmentioning

confidence: 99%

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Percolation assisted excitation transport in discrete-time quantum walks

2016

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Coherent transport of excitations along chains of coupled quantum systems represents an interesting problem with a number of applications ranging from quantum optics to solar cell technology. A convenient tool for studying such processes are quantum walks. They allow us to determine all the process features in a quantitative way. We study the survival probability and the transport efficiency on a simple, highly symmetric graph represented by a ring. The propagation of excitation is modeled by a discrete-time (coined) quantum walk. For a two-state quantum walk, where the excitation (walker) has to leave its actual position to the neighboring sites, the survival probability decays exponentially and the transport efficiency is unity. The decay rate of the survival probability can be estimated using the leading eigenvalue of the evolution operator. However, if the excitation is allowed to stay at its present position, i.e. the propagation is modeled by a lazy quantum walk, then part of the wave-packet can be trapped in the vicinity of the origin and never reaches the sink. In such a case, the survival probability does not vanish and the excitation transport is not efficient. The dependency of the transport efficiency on the initial state is determined. Nevertheless, we show that for some lazy quantum walks dynamical, percolations of the ring eliminate the trapping effect and efficient excitation transport can be achieved. OPEN ACCESS RECEIVED

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Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Percolation assisted excitation transport in discrete-time quantum walks

2016

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“…Given that the probability transfer among the vertices of the DTQW is closely related to the quantum information processing in the walk [24][25][26], it is very important to study how to control the probability transfer in the DTQW. Although implementations of some quantum information processing based on the DTQW have consulted the CTQW [41][42][43][44][45][46], the differences and the similarities in the probability transfer between the DTQW and the CTQW have not been addressed.…”

Section: Introductionmentioning

confidence: 99%

Controlling probability transfer in the discrete-time quantum walk by modulating the symmetries

2017

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“…With the very weak decoherence in the walk, the uniform distribution in the position of the walk is achieved and the desirable quantum speedup is enhanced 21 . The efficiency of quantum transport can be improved with the aid of decoherence 36 . The advantage of decoherence only emerges in the QW with certain noises.…”

Section: Introductionmentioning

confidence: 99%

Quantum sensing of noises in one and two dimensional quantum walks

Chen

Zhang

2017

Sci Rep

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Quantum walk (QW) provides a versatile platform for the realization of quantum algorithms. Due to the existence of the inevitable noises in the walk, the different quantum algorithms accommodating to different noises are demanded. Thus, the success of the algorithms based on the QW requires us to sense different noises in the walk. Until now, the way to distinguish different noises in the walk has been discussed rarely. Here, we propose an efficient way to sense the noises in the one and two dimensional QWs. The populations of the coin in the walk with or without decoherence are presented. By only detecting the populations of the coin in the QW, we can determine whether there exists the decoherence in the total QW system. Moreover, the non-Markovianity of the coin in the one and two dimensional QWs is revealed, in which the coin is taken as an open quantum system, and the other components of the QW system is taken as the large environment. With the measured value of the non-Markovianity for the coin, we can conjecture which kinds of noise emerges in the one and two dimensional QWs.

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Noise-enhanced quantum transport on a closed loop using quantum walks

Cited by 7 publications

References 51 publications

Percolation assisted excitation transport in discrete-time quantum walks

Percolation assisted excitation transport in discrete-time quantum walks

Controlling probability transfer in the discrete-time quantum walk by modulating the symmetries

Quantum sensing of noises in one and two dimensional quantum walks

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