The Shor-Preskill proof of the security of the BB84 quantum key distribution protocol relies on the theoretical existence of good classical error-correcting codes with the ``dual-containing'' property. A practical implementation of BB84 thus requires explicit and efficiently decodable constructions of such codes, which are not known. On the other hand, modern coding theory abounds with non-dual-containing codes with excellent performance and efficient decoding algorithms. We show that the dual-containing constraint can be lifted at a small price: instead of a key distribution protocol, an efficiently implementable key expansion protocol is obtained, capable of increasing the size of a pre-shared key by a constant factor.
Accelerating quantum Gibbs sampling without quantum walks
Virginia Tech(弗吉尼亚理工大学);Simons Institute for the Theory of Computing, University of California, Berkeley(加州大学伯克利分校西蒙斯理论计算研究所);Department of Mathematics, University of California, Berkeley(加州大学伯克利分校数学系);Department of Computing and Mathematical Sciences, California Institute of Technology(加州理工学院计算与数学科学系);Lawrence Berkeley National Laboratory(劳伦斯伯克利国家实验室)
Optimal quantum algorithm for Gibbs state preparation
Inria, Télécom Paris - LTCI, Institut Polytechnique de Paris(法国国家信息与自动化研究所,巴黎电信学院-信息与通信实验室,巴黎理工学院);Univ Lyon, ENS Lyon, UCBL, CNRS, Inria, LIP(里昂大学,里昂高等师范学院,里昂第一大学,法国国家科学研究中心,法国国家信息与自动化研究所,信息处理实验室);Department of Mathematical Sciences, University of Copenhagen(哥本哈根大学数学科学系);Instituto de Física Téorica UAM/CSIC(马德里自治大学/西班牙高等科学研究理事会理论物理研究所)
Probing the classical complexity of quantum dynamics experiments
Walter Burke Institute for Theoretical Physics and Institute for Quantum Information and Matter, California Institute of Technology(加州理工学院沃尔特·伯克理论物理研究所与量子信息物质研究所);Google Quantum AI(谷歌量子AI);PSI Center for Scientific Computing, Theory and Data and ETHZ-PSI Quantum Computing Hub, Paul Scherrer Institute(保罗谢尔研究所科学计算、理论与数据中心及ETHZ-PSI量子计算中心)
Efficient thermalization and universal quantum computing with quantum Gibbs samplers
Inria, Télécom Paris - LTCI, Institut Polytechnique de Paris(法国国家信息与自动化研究所,巴黎电信学院-信号与图像实验室,巴黎理工学院);Univ Lyon, ENS Lyon, UCBL, CNRS, Inria, LIP(里昂大学,里昂高等师范学校,里昂第一大学,法国国家科学研究中心,法国国家信息与自动化研究所,里昂信息学实验室);Department of Mathematical Sciences, University of Copenhagen(哥本哈根大学数学科学系);Instituto de Física Téorica UAM/CSIC(马德里自治大学/西班牙国家研究委员会理论物理研究所)
Accessible Quantum Correlations Under Complexity Constraints
Sorbonne Université(索邦大学);CNRS(法国国家科学研究中心);LMU Munich(慕尼黑大学);Munich Center for Quantum Science and Technology (MCQST)(慕尼黑量子科学与技术中心);The Center for Quantum Science and Technology, Faculty of Mathematics and Computer Science, Weizmann Institute of Science(魏茨曼科学研究所数学与计算机科学学院量子科学与技术中心);Inria(法国国家信息与自动化研究所);Télécom Paris-LTCI(巴黎电信学院通信与图像处理实验室);Institut Polytechnique de Paris(巴黎理工学院);Department of Physics of Complex Systems, Weizmann Institute of Science(魏茨曼科学研究所复杂物理系统系);Institute of Computer and Communication Sciences, École Polytechnique Fédérale de Lausanne (EPFL)(洛桑联邦理工学院计算机与通信科学研究所)