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Fundamental Research

Generation of non-classical states of light and their application in deterministic quantum teleportation

Zhihui Yan, Jiliang Qin, Zhongzhong Qin, Xiaolong Su, Xiaojun Jia, Changde Xie, Kunchi Peng

Published Jan 1, 2021• 66 citations
Publisher

Abstract

Non-classical states of light, which include squeezed and entangled states of light, are the cornerstone of quantum mechanics and quantum information sciences. To date, non-classical states of light with much higher quality than before are required to develop high-fidelity quantum information processing and high-precision quantum metrology. Squeezed and entangled states with approximately 10 dB noise below the corresponding shot noise limit have been generated using a series of methods, which means that the noise variance reaches a few percent of the vacuum noise. Quantum teleportation, which means transferring an unknown quantum state from a sending station to a distant receiving station supported by entangled states, is the foundation of quantum computation and quantum communication networks. Quantum teleportation in continuous variable regions is unconditional because the entangled states used are always deterministic. The quantum teleportation distance was recently extended to the order of kilometers, which paves the way for constructing a practical quantum information network.

DOI
10.1016/j.fmre.2020.11.005

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Non-classical states of light, which include squeezed and entangled states of light, are the cornerstone of quantum mechanics and quantum information sciences. To date, non-classical states of light with much higher quality than before are required to develop high-fidelity quantum information processing and high-precision quantum metrology. Squeezed and entangled states with approximately 10 dB noise below the corresponding shot noise limit have been generated using a series of methods, which means that the noise variance reaches a few percent of the vacuum noise. Quantum teleportation, which means transferring an unknown quantum state from a sending station to a distant receiving station supported by entangled states, is the foundation of quantum computation and quantum communication networks. Quantum teleportation in continuous variable regions is unconditional because the entangled states used are always deterministic. The quantum teleportation distance was recently extended to the order of kilometers, which paves the way for constructing a practical quantum information network.
High quality light, whenever coherent light and nonclassical light, is more and more widely used in many filed.The coherent state behave minimum classical noise and better coherence, is mostly important light in quantum information, precise measurement and quantum metrology etc.In quantum information and quantum optics, a coherent light is used to entanglement generation (Ou, Z. et al. 1992), quantum teleportation (Furusawa, A. et al. 1998A.et al. ), quantum computation (Menicucci, N. et al. 2006) and quantum secret sharing (Lance, A. et al. 2004).The quiet laser beam, shot noise limited laser beam is important in above application.In the past 20 years there has been much interest in the generation and application of various nonclassical light sources, such as squeezed-state entanglement, quantum-correlated twin beams, and sub-poissonian light, for which improved signal-to-noise ratios and measurement precision beyond the quantum-noise limit are anticipated.In particular, subpoissonian light is a promising light source in quantum information and optical communication because of its communication capacity (
In continuous-variable quantum information, non-Gaussian entangled states that are obtained from Gaussian entangled states via photon subtraction are known to contain more entanglement. This makes them better resources for quantum information processing protocols, such as, quantum teleportation. We discuss the teleportation of non-Gaussian, non-classical Schrödinger-cat states of light using two-mode squeezed vacuum light that is made non-Gaussian via subtraction of a photon from each of the two modes. We consider the experimentally realizable cat states produced by subtracting a photon from the single-mode squeezed vacuum state. We discuss two figures of merit for the teleportation process, (a) the fidelity, and (b) the maximum negativity of the Wigner function at the output. We elucidate how the non-Gaussian entangled resource lowers the requirements on the amount of squeezing necessary to achieve any given fidelity of teleportation, or to achieve negative values of the Wigner function at the output.
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The fidelity of quantum teleportation of a single-mode squeezed state of light is calculated based on the general theory of quantum-mechanical measurement in the Schrödinger picture. It is shown that the criterion for the nonclassical state teleportation is different from that for coherent state. F = 1/2 is no longer the rigorous boundary between classical and quantum teleportation for a squeezed state of light. When the quantum entanglement of an Einstein–Podolsky–Rosen (EPR) beam used for teleportation and the parameters of the system are given, the fidelity depends on the squeezing of the input squeezed state. The higher the squeezing is, the smaller the fidelity is, and the lower the classical limitation of fidelity is. The dependence of the optimum gain for teleporting a squeezed vacuum state upon the EPR entanglement is also calculated. The results obtained provide important references for designing experimental systems of teleporting a non-classical state and judging the quality of the teleported quantum state.
Quantum teleportation, the process of transferring an unknown quantum state from one location to another without physically moving the particle, has long been considered a cornerstone of quantum information science. However, significant limitations remain, particularly in achieving long-distance teleportation due to decoherence and the challenges of maintaining entanglement over vast distances. This paper introduces a novel framework, termed "Non-Local Quantum State Synchronization" (NLQS), designed to overcome these limitations by explicitly leveraging non-local correlations to establish a shared quantum state. We propose a protocol that utilizes entanglement as a fundamental building block, allowing for the transfer of information across a network, thereby circumventing the constraints imposed by distance and decoherence. The paper details the core mechanisms of the NLQS framework, including the establishment of entanglement, the generation of measurement results, and the subsequent reconstruction of the target state. We present preliminary results demonstrating the effectiveness of the framework in transferring quantum states over a simulated network, highlighting its potential for advancing the field of quantum communication and information processing.