Optimal photonic indistinguishability tests in multimode networks  

作　　者：Niko Viggianiello Fulvio Flamini Marco Bentivegna Nicolò Spagnolo Andrea Crespi Daniel J.Brod Ernesto F.Galvao Roberto Osellame Fabio Sciarrino 

机构地区：[1]Dipartimento di Fisica,Sapienza Universitadi Romo,Piazzale Aldo Moro 5,1-00185Roma,Italy [2]Istituto di Fotonica e Nanotecnologie,Consiglio Nazionale delle Ricerche (IFN-CNR),Piazza Leonardo da Vinci,32,1-20133 Milano,Italy [3]Diportimento di Fisica,Politecnico di Milano,Piazza Leonardo da Vinci,32,1-20133 Milano,Italy [4]Perimeter Institute for Theoretical Physics,31 Caroline Street North,Waterloo,ON N2L 2Y5,Canada [5]Instituto de Pisica,Universidade Federal Fluminense,Av.Gal.Milton Tavares de Souza s/n,Niteroi,RJ 24210-340,Brazil

出　　处：《Science Bulletin》2018年第22期1470-1478,共9页科学通报（英文版）

基　　金：supported by ERC-Starting Grant 3D-QUEST (3DQuantum Integrated Optical Simulation; Grant agreement No.307783);H2020-FETPROACT-2014 Grant QUCHIP (Quantum Simulation on a Photonic Chip; Grant agreement No.641039);Brazilian National Institute for Science and Technology of Quantum Information (INCT-IQ/CNPq);in part by Perimeter Institute for Theoretical Physics

摘　　要：Particle indistinguishability is at the heart of quantum statistics that regulates fundamental phenomena such as the electronic band structure of solids, Bose-Einstein condensation and superconductivity.Moreover, it is necessary in practical applications such as linear optical quantum computation and simulation, in particular for Boson Sampling devices.It is thus crucial to develop tools to certify genuine multiphoton interference between multiple sources.Our approach employs the total variation distance to find those transformations that minimize the error probability in discriminating the behaviors of distinguishable and indistinguishable photons.In particular, we show that so-called Sylvester interferometers are near-optimal for this task.By using Bayesian tests and inference, we numerically show that Sylvester transformations largely outperform most Haar-random unitaries in terms of sample size required.Furthermore, we experimentally demonstrate the efficacy of the transformation using an efficient 3 D integrated circuits in the single-and multiple-source cases.We then discuss the extension of this approach to a larger number of photons and modes.These results open the way to the application of Sylvester interferometers for optimal assessment of multiphoton interference experiments.Particle indistinguishability is at the heart of quantum statistics that regulates fundamental phenomena such as the electronic band structure of solids, Bose-Einstein condensation and superconductivity.Moreover, it is necessary in practical applications such as linear optical quantum computation and simulation, in particular for Boson Sampling devices.It is thus crucial to develop tools to certify genuine multiphoton interference between multiple sources.Our approach employs the total variation distance to find those transformations that minimize the error probability in discriminating the behaviors of distinguishable and indistinguishable photons.In particular, we show that so-called Sylvester interferometers are near-optimal for this task.By using Bayesian tests and inference, we numerically show that Sylvester transformations largely outperform most Haar-random unitaries in terms of sample size required.Furthermore, we experimentally demonstrate the efficacy of the transformation using an efficient 3 D integrated circuits in the single-and multiple-source cases.We then discuss the extension of this approach to a larger number of photons and modes.These results open the way to the application of Sylvester interferometers for optimal assessment of multiphoton interference experiments.

关 键 词：Particle INDISTINGUISHABILITY QUANTUM statistics Optical QUANTUM computation QUANTUM simulation SYLVESTER INTERFEROMETERS Bayesian TESTS MULTIPHOTON interference experiments 

分 类 号：N[自然科学总论]