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The entanglement of deterministic aperiodic quantum walks

Chinese Physics B 2018年第12期27卷 77-84页

作者： Ting-Ting Liu Ya-Yun Hu Jing Zhao Ming Zhong Pei-Qing Tong Department of Physics and Institute of Theoretical Physics Nanjing Normal UniversityNanjing 210023China physics Department 104Davey LaboratoryPennsylvania State UniversityUniversity ParkPA 16802USA College of Mathematical and Physical Sciences Anshun UniversityAnshun 561000China Laboratory for Numerical Simulation of Large Scale Complex Systems Nanjing Normal UniversityNanjing 210023China

We study the entanglement between the internal(coin)and the external(position)degrees of freedom in the dynamic and the static deterministic aperiodic quantum walks(QWs).For the dynamic(static)aperiodic QWs,the coin depends on the time(position)and takes two coins C(α)and C(β)arranged in the two classes of generalized Fibonacci(GF)and the Thue–Morse(TM)*** found that for the dynamic QWs,the entanglement of three kinds of the aperiodic QWs are close to the maximal value,which are all much larger than that of the homogeneous ***,the first class of GF(1st GF)QWs can achieve the maximum entangled state,which is similar to that of the dynamic disordered *** the entanglement of 1st GF QWs is greater than that of the TM QWs,being followed closely by the entanglement of the second class of GF(2nd GF)*** the static QWs,the entanglement of three kinds of the aperiodic QWs are also close to the maximal value and 1st GF QWs can achieve the maximum entangled *** entanglement of the TM QWs is between1st GF QWs and 2nd GF ***,the entanglement of the static disordered QWs is less than that of three kinds of the aperiodic *** is different from those of the dynamic *** these results,we can conclude that the dynamic and static 1st GF QWs can also be considered as maximal entanglement generators.

关键词： quantum walks quantum entanglement aperiodic entanglement production

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Experimentally testing Bell's theorem based on Hardy's nonlocal ladder proofs

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Science China(Physics,Mechanics & Astronomy) 2015年第2期58卷 21-25页

作者： GUO WeiJie FAN DaiHe WEI LianFu Quantum Optoelectronics Laboratory Southwest Jiaotong University State Key Laboratory of Optoelectronic Materials and Technologies School of Physics and EngineeringSun Yat-Sen University

Bell＇s theorem argues the existence of quantum nonlocality which goes basically against the hidden variable theory （HVT）. Many experiments have been done via testing the violations of Bell＇s inequalities to statistically verify the Bell＇s theorem. Alternatively, by testing the Hardy＇s ladder proofs we experimentally demonstrate the deterministic violation of HVT and thus confirm the quantum nonlocality. Our tests are implemented with non-maximal entangled photon pairs generated by spontaneous parametric down conversions （SPDCs）. We show that the degree freedom of photon entanglement could be significantly enhanced by using interference filters. As a consequence, the Hardy＇s ladder proofs could be tested and Bell＇s theorem is verified robustly. The probability of violating the locality reach to 41.9%, which is close to the expectably ideal value 46.4% for the photon pairs with degree of entanglement e = 0.93. The higher violating probability is possible by further optimizing the experimental parameters.

关键词： quantum nonlocality entanglement production Hardy's proof

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