Entanglement-enabled advantage for learning a bosonic random displacement channel
Changhun Oh, Senrui Chen, Yat Wong, Sisi Zhou, Hsin-Yuan Huang, Jens A. H. Nielsen, Zheng-Hao Liu, Jonas S. Neergaard-Nielsen, Ulrik L. Andersen, Liang Jiang, John Preskill
We show that quantum entanglement can provide an exponential advantage in learning properties of a bosonic continuous-variable (CV) system. The task we consider is estimating a probabilistic mixture of displacement operators acting on $n$ bosonic modes, called a random displacement channel. We prove that if the $n$ modes are not entangled with an ancillary quantum memory, then the channel must be sampled a number of times exponential in $n$ in order to estimate its characteristic function to reasonable precision; this lower bound on sample complexity applies even if the channel inputs and measurements performed on channel outputs are chosen adaptively. On the other hand, we present a simple entanglement-assisted scheme that only requires a number of samples independent of $n$, given a sufficient amount of squeezing. This establishes an exponential separation in sample complexity. We then analyze the effect of photon loss and show that the entanglement-assisted scheme is still significantly more efficient than any lossless entanglement-free scheme under mild experimental conditions. Our work illuminates the role of entanglement in learning continuous-variable systems and points toward experimentally feasible demonstrations of provable entanglement-enabled advantage using CV quantum platforms.
Protecting bosonic codes from ancilla-induced errors with continuous-variable flags
Alice & Bob(爱丽丝与鲍勃);Laboratoire de Physique de l’École Normale Supérieure, Inria, ENS, Mines ParisTech, Université PSL, Sorbonne Université(巴黎高等师范学院物理实验室、法国国家信息与自动化研究所、巴黎高等师范学院、巴黎矿业学院、巴黎文理研究大学、索邦大学);RIKEN Center for Quantum Computing (RQC)(理化学研究所量子计算中心)
Noise-Limited Sensitivity in Cavity Optomechanical Molecular Sensing Enabled by Quantum Zero-Point Displacement Coupling and Strong Photon-Phonon Interaction for Chiral Detection
When quantum resources backfire: Non-gaussianity and symplectic coherence in noisy bosonic circuits
DIENS, \'Ecole Normale Sup\'erieure, PSL University, CNRS, INRIA, 45 rue d’Ulm, Paris, 75005, France;Institute of Physics, \'Ecole Polytechnique F\' e d\' e rale de Lausanne (EPFL), Lausanne, Switzerland;Centre for Quantum Science;Engineering, \'Ecole Polytechnique F\' e d\' e rale de Lausanne (EPFL), Lausanne, Switzerland
Continuous Variable Hamiltonian Learning at Heisenberg Limit via Displacement-Random Unitary Transformation
School of Stomatology, Peking University(北京大学口腔医学院);Department of Chemistry and Biochemistry, University of California, Los Angeles(加州大学洛杉矶分校化学与生物化学系);Department of Physics, Tsinghua University(清华大学物理系);Institute of Advanced Study, Tsinghua University(清华大学高等研究院)
Optimal Displacement Sensing with Spin-Dependent Squeezed States
University of Amsterdam(阿姆斯特丹大学);QuSoft;University of Sydney(悉尼大学);Sydney Nano Institute, University of Sydney(悉尼大学悉尼纳米研究所);Indian Institute of Technology Madras(马德拉斯印度理工学院);Center for Quantum Information, Communication and Computing, Indian Institute of Technology Madras(马德拉斯印度理工学院量子信息、通信与计算中心)
Continuous-variable error correction for general Gaussian noises
量子纠错对于在有噪声的器件上进行稳健的量子信息处理是必不可少的。由于玻色子量子系统在量子传感、通信和计算中起着至关重要的作用,因此设计适合于这些系统的纠错码以抵抗各种不同类型的噪声是非常重要的。虽然大多数努力旨在保护编码到玻色子模式的无限维希尔伯特空间中的量子比特,[Phys. Rev. Lett. 125,080503(2020)]提出了一种纠错码,通过将单个玻色子模式编码成多个玻色子模式来保持玻色子系统的无限维希尔伯特空间性质。该码以Gottesman-Kitaev-Preskill态为辅助,克服了高斯纠错的不通过定理。在这项工作中,我们推广的纠错码的情况下,一般相关和异构高斯噪声,包括记忆效应。我们引入高斯预处理和后处理,将一般的噪声模型转换为一个独立的,但异构的加性高斯白噪声信道的集合,然后以优化的方式应用级联码。为了评估性能,我们开发了一个理论框架,使有效的计算后的误差校正的噪声标准偏差,尽管非高斯性质的代码。我们的代码提供了最佳的剩余噪声标准偏差的标度与模式的数量,可以广泛应用于分布式传感器网络,网络通信和复合量子存储系统。
Generative modeling with Gaussian Boson Sampling: classically trainable Bosonic Born Machines
HUN-REN Wigner Research Centre for Physics(匈牙利科学院维格纳研究物理中心);Eötvös Loránd University(罗兰大学);Center for Quantum Enabled-Computing, Center for Theoretical Physics of the Polish Academy of Sciences(波兰科学院理论物理中心量子计算中心);Department of Physics, Korea Advanced Institute of Science and Technology(韩国科学技术院物理系);University of Helsinki(赫尔辛基大学);Algorithmiq Ltd(算法有限公司)
Preparing squeezed, cat and GKP states with parity measurements
East China Normal University(华东师范大学);New York University Shanghai(纽约大学上海分校);NYU-ECNU Institute of Physics at NYU Shanghai(纽约大学上海分校纽约大学-华东师范大学物理研究所);Department of Physics, New York University(纽约大学物理系);Williams College(威廉姆斯学院);ETH Zürich(苏黎世联邦理工学院)
Zhejiang Key Laboratory of Micro-Nano Quantum Chips and Quantum Control, and School of Physics, Zhejiang University(浙江大学微纳量子芯片与量子控制浙江省重点实验室和物理学院);Department of Physics, ETH Zürich(苏黎世联邦理工学院物理系)
Quantum advantage in learning single mode bosonic channels
A*STAR Quantum Innovation Centre(Q.InC), Agency for Science, Technology and Research(A*STAR)(A*STAR量子创新中心);Centre for Quantum Software and Information, University of Technology Sydney(悉尼科技大学量子软件与信息研究中心);Department of Quantum Science and Technology, Research School of Physics, The Australian National University(澳大利亚国立大学物理研究学院量子科学与技术系);Centre for Quantum Technologies, National University of Singapore(新加坡国立大学量子技术中心);Q-CTRL
Finer sub-Planck structures and displacement sensitivity of SU(1,1) circular states
State Key Laboratory of Opto-Electronic Information Acquisition and Protection Technology, School of Physics, Anhui University(安徽大学物理学院光电信息获取与保护技术国家重点实验室);School of Physics and Technology, Nantong University(南通大学物理与 technology 学院);Department of Physics, Jiangsu University(江苏大学物理系)
Building Block For Universal Continuous Variables Computation In Superconducting Devices
Universidade Federal de São Carlos (UFSCar)(圣卡洛斯联邦大学);Université de Strasbourg and CNRS(斯特拉斯堡大学和法国国家科学研究中心);Universidade Estadual de Ponta Grossa (UEPG)(蓬塔格罗萨州立大学);Universidade Estadual Paulista (UNESP)(圣保罗州立大学)
Institute for Quantum Optics and Quantum Information, Austrian Academy of Sciences(奥地利科学院量子光学与量子信息研究所);Institute for Experimental Physics, University of Innsbruck(因斯布鲁克大学实验物理研究所);Atominstitut, TU Wien(维也纳技术大学原子研究所);PSI Center for Photon Science(保罗·谢勒研究所光子科学中心);Qruise GmbH(Qruise有限公司);Dipartimento di Fisica e Astronomia “G. Galilei”, Università degli Studi di Padova(帕多瓦大学物理与天文系(G.伽利略));INFN Istituto Nazionale di Fisica Nucleare, Sezione di Padova(意大利国家核物理研究所帕多瓦分所);University of Innsbruck(因斯布鲁克大学)
Velocity-Enabled Quantum Computing with Neutral Atoms
Max-Planck-Institut für Quantenoptik(马克斯·普朗克量子光学研究所);Munich Center for Quantum Science and Technology (MCQST)(慕尼黑量子科学与技术中心);Harvard University(哈佛大学);Fakultät für Physik, Ludwig-Maximilians-Universität(慕尼黑大学物理学院)