Experimental two-dimensional quantum walk on a photonic chip

Science Advances
Hao TangXian-Min Jin

Abstract

Quantum walks, in virtue of the coherent superposition and quantum interference, have exponential superiority over their classical counterpart in applications of quantum searching and quantum simulation. The quantum-enhanced power is highly related to the state space of quantum walks, which can be expanded by enlarging the photon number and/or the dimensions of the evolution network, but the former is considerably challenging due to probabilistic generation of single photons and multiplicative loss. We demonstrate a two-dimensional continuous-time quantum walk by using the external geometry of photonic waveguide arrays, rather than the inner degree of freedoms of photons. Using femtosecond laser direct writing, we construct a large-scale three-dimensional structure that forms a two-dimensional lattice with up to 49 × 49 nodes on a photonic chip. We demonstrate spatial two-dimensional quantum walks using heralded single photons and single photon-level imaging. We analyze the quantum transport properties via observing the ballistic evolution pattern and the variance profile, which agree well with simulation results. We further reveal the transient nature that is the unique feature for quantum walks of beyond one dimension. An arc...Continue Reading

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Citations

Oct 16, 2019·Advanced Materials·Yao WangXian-Min Jin
May 31, 2019·Physical Review Letters·Yao WangXian-Min Jin
Nov 9, 2019·Physical Review Letters·Hamidreza ChalabiEdo Waks
Apr 30, 2020·Scientific Reports·Dan T NguyenNicholas F Borrelli
Jun 17, 2020·Optics Letters·Stefano Longhi
Apr 24, 2019·Physical Review Letters·Yao WangXian-Min Jin
Jun 9, 2020·Research : a Science Partner Journal·Andong WangDavid Grojo
Jan 31, 2019·Optics Express·Dan T NguyenNicholas F Borrelli
Aug 7, 2019·Nanomaterials·Fengqiang ZhangYukui Wang
May 23, 2020·Physical Review Letters·Mathieu RogetGiuseppe Di Molfetta
Jan 30, 2020·Light, Science & Applications·Xiao-Ye XuGuang-Can Guo
Dec 10, 2019·Light, Science & Applications·Patrick S Salter, Martin J Booth
Feb 18, 2020·Science Advances·Xiao-Yun XuXian-Min Jin
Jan 14, 2021·Entropy·Luca RazzoliPaolo Bordone
Oct 31, 2020·Physical Review Letters·Yao WangXian-Min Jin
Jan 1, 2021·Optics Express·Yong-Heng LuXian-Min Jin
Feb 28, 2021·Science Advances·Max EhrhardtAlexander Szameit
Jan 20, 2021·Light, Science & Applications·Xiao-Ye XuGuang-Can Guo
Apr 2, 2021·Optics Letters·Wen-Hao ZhouXian-Min Jin
Mar 4, 2019··Dan A. NolanDan T. Nguyen
Mar 4, 2019··S.H. KwonLukasz Dusanowski

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Methods Mentioned

BETA
nuclear magnetic resonance
imaging technique
chip
chips
imaging techniques

Software Mentioned

MATLAB

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