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Journal of Physics B Atomic Molecular and Optical Physics

Time-dependent quantum teleportation via a parametric converter

Haleema Sadia Qureshi, Shakir Ullah, Fazal Ghafoor

Published May 25, 2022• 5 citations
Publisher

Abstract

Abstract Quantum state teleportation is an important protocol that plays a pivotal role in various quantum information tasks. Here we theoretically investigate quantum state teleportation by exploiting a general two-mode Gaussian entangled state produced by a parametric converter when two single-mode Gaussian states (SMGSs) in terms of the non-classicality and purity are employed as inputs to the parametric converter. In particular, the time-dependent teleportation fidelity is analyzed with respect to the squeezing parameter and phase-space quadratures of the teleported squeezed coherent state. We show that the teleportation fidelity is maximal when ratio of the expectation values of photon number in the two modes of the evolved Gaussian entangled state is equal to 1. Quantum state teleportation in terms of the purity and non-classicality of the general two SMGSs seems to be a good choice for experimental realization of quantum communication and information processing.

DOI
10.1088/1361-6455/ac7370

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Abstract Quantum state teleportation is an important protocol that plays a pivotal role in various quantum information tasks. Here we theoretically investigate quantum state teleportation by exploiting a general two-mode Gaussian entangled state produced by a parametric converter when two single-mode Gaussian states (SMGSs) in terms of the non-classicality and purity are employed as inputs to the parametric converter. In particular, the time-dependent teleportation fidelity is analyzed with respect to the squeezing parameter and phase-space quadratures of the teleported squeezed coherent state. We show that the teleportation fidelity is maximal when ratio of the expectation values of photon number in the two modes of the evolved Gaussian entangled state is equal to 1. Quantum state teleportation in terms of the purity and non-classicality of the general two SMGSs seems to be a good choice for experimental realization of quantum communication and information processing.
Quantum teleportation, one of the most significant protocols in quantum information processing, allows the unembodied transfer of an unknown quantum state from one location to another distinct location. Here, we propose a scheme of continuous-variable quantum teleportation, wherein the two-mode Gaussian entangled state generated by a correlated spontaneous emission laser (CEL) system is used as a quantum resource. Initially, the two quantized cavity fields, in the form of single-mode Gaussian states characterized by the non-classicality and purity of the states, along with a strong classical field, are coupled to the gain medium of the CEL system. We consider a squeezed coherent state (SCS) for the teleportation process and calculate the time-dependent expression for its teleportation fidelity using the Wigner function formalism. In this framework, we thoroughly analyze the teleportation of the SCS, using its fidelity, for various parameters of the proposed system. We show that the amplified entanglement generated by the CEL system leads to an optimized fidelity for the teleportation of SCS.
Abstract We theoretically implement the protocol of continuous variable quantum teleportation wherein Alice and Bob share a state built by a linear beam splitter as general two-mode Gaussian entangled state. Using the non-classicality and purity of the two single-mode Gaussian states employed initially at the input of the beam splitter, the unknown state teleportation protocol is explicitly implemented in terms of squeezing and phase space quadratures. We show that fidelity of the teleported state is maximal when the gain factor g is equal to 1 and gradually decreases when g deviates from 1 on either side. We further find that teleportation fidelity decreases when one of the input states of the beam splitter is replaced by the state of thermal photons.
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.
Quantum teleportation is a fundamental protocol in quantum information science. It represents a critical resource for quantum communication and distributed quantum computing. We derive an analytical expression of the fidelity of teleportation of an input squeezed thermal state using for teleportation a bipartite Gaussian resource state shared between Alice and Bob. Each mode of the resource state is susceptible to the influence of the environment. We employ the characteristic function approach in conjunction with the covariance matrix formalism. The fidelity of teleportation is expressed in terms of input and resource state covariance matrices. We investigate, as an example, the feasibility of secure quantum teleportation of a squeezed thermal state using a two-mode resource state whose modes are placed in separate thermal baths. A successful quantum teleportation requires meeting two criteria: the presence of two-way quantum steering and a teleportation fidelity exceeding the classical threshold. The quantum steering is by nature asymmetric and has found applications in quantum cryptography and secure quantum teleportation. Weak squeezing and a high number of average thermal photons in the input states lead to an increase in the fidelity of teleportation. Generally, steering disappears much faster than the fidelity of teleportation decreases below its classical limit.
In this paper, we investigate secure quantum teleportation (SQT) of squeezed coherent states in the presence of a noisy Gaussian environment. Unlike most previous studies that consider coherent states as the input to be teleported, we take squeezed coherent states as the information carriers and analyze how the squeezing of the input state influences the performance and security of the teleportation protocol. The quantum channel is modeled by a two-mode squeezed vacuum state shared between Alice and Bob, which interacts with a common squeezed thermal reservoir. The security of teleportation is ensured by simultaneously satisfying two conditions: a teleportation fidelity exceeding the classical limit [Formula: see text] and the existence of two-way quantum steering of the resource state. Using the covariance matrix formalism and the Lindblad master equation for open quantum systems, we study the time evolution of teleportation fidelity and Gaussian steering under the combined effects of dissipation, temperature and environmental squeezing. The results show that the squeezing of the input coherent state plays a significant role in modifying the robustness of secure quantum teleportation against environmental noise. In particular, for suitable parameter regimes, input-state squeezing can enhance the tolerance of the protocol to thermal fluctuations and de-coherence, extending the temporal range in which SQT is achievable. These findings highlight the importance of the choice of input states in continuous-variable quantum communication protocols and provide new insights for optimizing secure quantum teleportation in realistic noisy environments.
We investigate the role of quadrature squeezing in the quantum teleportation protocol for coherent states, using non-Gaussian resource states. For the two-mode systems, the non-Gaussian resource states that we use are obtained by an experimentally realizable scheme of photon subtraction, photon addition, and photon catalysis, on the two-mode squeezed vacuum, and two-mode squeezed thermal states. We first analyze the non-classical attribute of quadrature squeezing in these generated non-Gaussian states using the U(2)U(2)U(2) invariant squeezing approach, which allows us to account for all possible quadratures. We then show that the presence of such non-classicality in non-Gaussian resource states is not necessary for successful quantum teleportation, a finding which is at variance with an earlier result in this direction. This result is important since it demonstrates how non-classicality other than quadrature squeezing present in the resource can be utilized for quantum teleportation.