We study the coherent dynamics of two interacting particles in a quantum double-well and show that the Shannon entropy can be a definitive signature of entanglement as an alternative to concur- rence, a connection not reported previously. This physical model, involving tunneling and contact interaction, is akin to the Hubbard model which explains the physics of interacting particles in peri- odic potentials. We show that an interplay between tunneling and contact interaction produces Bell like eigenstates ensuring thereby that the concurrence and the Shannon entropy, two quantities with vastly different physical interpretations, develop the same time dependence. Our result, applied to three experimentally realized physical models works for both spatial and spin degrees of freedom and is significant as it provides a novel measure of entanglement applicable to many systems currently being explored for scalable quantum computation.
The EU Quantum Flagship's Key Performance Indicators for Quantum Computing
HUN-REN Wigner Research Centre for Physics(匈牙利科学院维格纳物理研究中心);University of Helsinki(赫尔辛基大学);Algorithmiq Ltd.(Algorithmiq有限公司);Eötvös Loránd University(罗兰大学);University of the Basque Country UPV/EHU(巴斯克地区大学);BCAM - Basque Center for Applied Mathematics(巴斯克应用数学中心);Budapest University of Technology and Economics(布达佩斯技术与经济大学);HUN-REN-BME-BCE Quantum Technology Research Group(匈牙利科学院-布达佩斯理工大学-布达佩斯经济与物流大学量子技术研究组);Forschungszenctrum Jülich GmbH(于利希研究中心有限公司);RWTH Aachen University(亚琛工业大学)
A Fully Device-Independent Ternary Quantum Key Distribution Protocol Based on the Impossible Colouring Game
Indian Statistical Institute(印度统计研究所);Indian Institute of Technology Madras(马德拉斯理工学院);Universitat Politècnica de Catalunya(加泰罗尼亚理工大学);Indian Institute of Technology Kharagpur(卡拉格普尔理工学院);Presidency University(总统大学)
Perimeter Institute for Theoretical Physics(佩里尔研究所);Institute for Quantum Computing, University of Waterloo(滑铁卢大学量子计算研究所);Dahlem Center for Complex Quantum Systems, Freie Universität Berlin(柏林自由大学达勒姆复杂量子系统中心);Department of Applied Mathematics, University of Waterloo(滑铁卢大学应用数学系);Department of Combinatorics and Optimization, University of Waterloo(滑铁卢大学组合优化系)