master equation; photon loss decoherence; quantum nondemolition measurement; Bose-Einstein condensates; Decoherence; Entangled state; Master equations; Non-Gaussian; Of quantum-information; Photon loss; Photon loss decoherence; Quantum information processing; Quantum nondemolition measurements; Atomic and Molecular Physics, and Optics; Mathematical Physics; Condensed Matter Physics
Abstract :
[en] The theory of quantum information processing for macroscopic qubits is based on the fact that every macroscopic qubit has a conserved number of particles. However, from an experimental point of view, every such qubit experiences decoherence that impacts the possibilities for entanglement generation between such qubits to be used in quantum information processing efficiently. One of the most prospective methods for generating entanglement between distant atomic BECs is quantum nondemolition measurements. Here, we study how the effects of photon measurement impact the entanglement when photon loss decoherence is included. We employ the thermally entangled state representation (TESR) and integral within the ordered operator (IWOP) approach to obtain the accurate density matrix in a photon loss channel. We demonstrate that varying outcomes of photon number measurements lead to the generation of distinct entangled states, each exhibiting unique characteristics. In the scenario where two photoelectric detectors detect the same number of photons nc = nd, we observe that the entangled state demonstrates greater robustness compared to cases with unequal photon counts, providing a reliable resource for better performance with post-processing. We have used Hofmann-Takeuchi and Duan-Giedke-Cirac-Zoller criteria to detect entanglement and find that these methods offer significant benefits in detecting entanglement compared to the Wineland squeezing and EPR steering criteria, when evaluating the regions of detectable entanglement time in these contexts.
Disciplines :
Physics
Author, co-author :
Gao, Shuai ; Joint International Research Laboratory of Information Display and Visualization, School of Electronic Science and Engineering, Southeast University, Nanjing, China
Manish, Chaudhary ; Université de Liège - ULiège > Complex and Entangled Systems from Atoms to Materials (CESAM) ; Université de Liège - ULiège > Département de physique ; NYU - New York University ; East China Normal University
Pyrkov, Alexey N.; Federal Research Center of Problems of Chemical Physics and Medicinal Chemistry, Russian Academy of Sciences, Moscow Region, Russian Federation
Ilo-Okeke, Ebubechukwu O. ; New York University Shanghai, Shanghai, China ; Department of Physics, School of Science, Federal University of Technology, Owerri, Nigeria
Meng, Xin; State Key Laboratory on Tunable Laser Technology, Harbin Institute of Technology (Shenzhen), Shenzhen, China ; Guangdong Provincial Key Laboratory of Aerospace Communication and Networking Technology, Harbin Institute of Technology (Shenzhen), Shenzhen, China
Feng, Jingyan; State Key Laboratory of Precision Spectroscopy, School of Physical and Material Sciences, East China Normal University, Shanghai, China
Khan, Muhammad Jamil ; Key Laboratory of MEMS of Ministry of Education, Southeast University, Nanjing, China
Byrnes, Tim; State Key Laboratory of Precision Spectroscopy, School of Physical and Material Sciences, East China Normal University, Shanghai, China ; NYU-ECNU Institute of Physics at NYU Shanghai, Shanghai, China ; Shanghai Frontiers Science Center of Artificial Intelligence and Deep Learning, NYU Shanghai, Shanghai, China ; Center for Quantum and Topological Systems (CQTS), NYUAD Research Institute, New York University, Abu Dhabi, United Arab Emirates ; Department of Physics, New York University, New York, United States
Lou, Chaogang ; Joint International Research Laboratory of Information Display and Visualization, School of Electronic Science and Engineering, Southeast University, Nanjing, China
Language :
English
Title :
Photon loss effects on light-mediated non-Gaussian entangled Bose-Einstein condensates projecting with different counts
NSCF - National Natural Science Foundation of China RSF - Russian Science Foundation
Funding text :
Numerical computations were performed at the Hefei Advanced Computing Center. This work is supported by the Primary Research & Development Plan of Jiangsu Province (Grant No. BE2016175). T.B. is supported by the National Natural Science Foundation of China (62071301); the Science and Technology Commission of Shanghai Municipality (19XD1423000, 22ZR1444600); the China Science and Technology Exchange Center (NGA-16-001); the China Foreign Experts Program (G2021013002L). M.C. acknowledges the funding support from the Department of Science and Technology, Government of India, through the I-HUB Quantum Technology Foundation, IISER Pune, India and the FWO and the F.R.S.-FNRS as part of the Excellence of Science program (EOS Project No.40007526) at University of Li\u00E8ge, Belgium. A.P. is supported by RSF (Grant No. 23-21-00507)
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