Experimental two-dimensional quantum walk on a photonic chip

Tang, Hao; Lin, Xiaofeng; Feng, Zhen; Chen, Jingyuan; Gao, Jun; Sun, Kaihua; Wang, Chaoyue; Lai, Peng-Cheng; Xu, Xiao-Yun; Yao, Wang; Qiao, Lu-Feng; Yang, Ai-Lin; Jin, Xian-Min

doi:10.1126/sciadv.aat3174

Cited by 232 publications

(153 citation statements)

References 42 publications

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“…In this way, the duration of quantum speedup in plasmonic hot spots system under room temperature can reach hundreds of femtoseconds, which is much longer than that in photosynthetic light harvesting systems. Although this duration of quantum speedup is shorter than that reported in coupled waveguides [30], our plasmonic hot spots system can be easily extended to three or highdimensional continuous-time quantum walk based on nowaday technologies in nanostructure constructions [31][32][33]. Within these realizations of three or high-dimensional quantum walks, we can display the quantum advantage in search algorithms, which is the main goal of our future research.…”

Section: Discussionmentioning

confidence: 87%

“…The longer duration of quantum speedup can be realized in our system with a longer NP chain. Although the study on photonic waveguides has reported that the duration of running time reaches several picoseconds [30], such coupled waveguides are unable to realize three or higherdimensional continuous-time quantum walk for one of the spatial dimensions is used as propagation space (time). In comparison, due to the flexible construction within high-dimensional space [31][32][33], such plasmonic nanostructures can be designed to realize three or higher-dimensional continuous-time quantum walk, which can exhibit the quantum advantage over its correspondingly classical walk in executing the search algorithms [34][35][36].…”

Section: Introductionmentioning

confidence: 99%

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Long-lived quantum speedup based on plasmonic hot spot systems

2019

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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.

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Section: Discussionmentioning

confidence: 87%

Section: Introductionmentioning

confidence: 99%

Long-lived quantum speedup based on plasmonic hot spot systems

2019

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“…Recently quantum devices to precisely tune tight binding parameters in machines desired to investigate quantum transport have been reported [55] although so far only in 1D. Another recent report [56] shows how 2D quantum walks on a photonic chip can be experimentally observed. These results could look promising for finding quantum dragons on future related machines which could handle 2D tight binding models.…”

Section: Discussionmentioning

confidence: 99%

Quantum dragon solutions for electron transport through nanostructures based on rectangular graphs

Inkoom

Novotny

2018

J. Phys. Commun.

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Electron transport through nanodevices of atoms in a single-layer rectangular arrangement with free (open) boundary conditions parallel to the direction of the current flow is studied within the singleband tight binding model. The Landauer formula gives the electrical conductance to be a function of the electron transmission probability, ( ) E , as a function of the energy E of the incoming electron. A quantum dragon nanodevice is one which has a perfectly conducting channel, namely  = ( ) E 1 for all energies which are transmitted by the external leads even though there may be arbitrarily strong electron scattering. The rectangular single-layer systems are shown to be able to be quantum dragon devices, both for uniform leads and for dimerized leads. The quantum dragon condition requires appropriate lead-device connections and correlated randomness in the device. F .

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“…Given the commutators and Trotter-Suzuki formula, every multiplier of expression (4) can be separated into three exponential operators, and each one can be further decomposed as Next, we demonstrate how to simulate these operators using an array of optical devices. However, we note that it is possible to implement the same set of elements using a photonic chip [35,42,43] which should enable a speed-up over the classical counterpart. Here we introduce the basic methods and present a prototype for such a chip.…”

Section: Adiabatic Evolution Simulated Via Optical Elementsmentioning

confidence: 99%

“…Linear optics is a promising system for many types of quantum information processing. A logical qubit can be encoded in the polarization, frequency, spatial modes or other degrees of freedom of a photon which can be preserved for a relatively long time and is controllable [28][29][30][31][32][33][34][35][36][37][38]. Just as important for our purposes, the operations of the system are static so that the dynamics are discretized.…”

Section: Introductionmentioning

confidence: 99%

Trotterized adiabatic quantum simulation and its application to a simple all-optical system

et al. 2020

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As first proposed for the adiabatic quantum information processing by Wu et al (2002 Phys. Rev. Lett. 89 057904), the Trotterization technique is a very useful tool for universal quantum computing, and in particular, the adiabatic quantum simulation of quantum systems. Given a boson Hamiltonian involving arbitrary bilinear interactions, we propose a static version of this technique to perform an optical simulation that would enable the identification of the ground state of the Hamiltonian. By this method, the dynamical process of the adiabatic evolution is mapped to a static linear optical array which is robust to the errors caused by dynamical fluctuations. We examine the cost of the physical implementation of the Trotterization, i.e. the number of discrete steps required for a given accuracy. Two conclusions are drawn. One is that the number of required steps grows much more slowly than the system size if the number of non-zero matrix elements of Hamiltonian is not too large. The second is that small fluctuations of the parameters of optical elements do not affect the first conclusion. This implies that the method is robust against the certain type of errors as we considered. Last but not least, we present an example of implementation of the simulation on a photonic chip as well as an optimized scheme. By such examples, we show a reduction of the costs compared to its classical counterpart and the potential for further improvement, which promotes a more general application.

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Experimental two-dimensional quantum walk on a photonic chip

Abstract: The first spatial 2D quantum walk on a photonic chip with thousands of nodes is realized for future analog quantum computing.

Cited by 232 publications

References 42 publications

Long-lived quantum speedup based on plasmonic hot spot systems

Long-lived quantum speedup based on plasmonic hot spot systems

Quantum dragon solutions for electron transport through nanostructures based on rectangular graphs

Trotterized adiabatic quantum simulation and its application to a simple all-optical system

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