Controlled quantum teleportation between discrete and continuous physical systems

Abstract

Quantum teleportation of an unknown state basing on the interaction between discrete-valued states (DV) and continuous-valued states (CV) presented a particular challenge in quantum technologies. Here we consider the problem of controlled quantum teleportation of an amplitude-matched CV qubit, encoded by a coherent state of a varied phase as a superposition of the vacuum- and single-photon optical states among two distant partners Alice and Bob, with the consent of controller, Charlie. To achieve this task, we use an hybrid tripartite entangled state (interaction between the discrete and continuous variables states) as the quantum resource where the coherent part belongs to Alice, while the single-photon belongs to Bob and Charlie and the CV qubit is at the disposal of Alice. The discrete-continuous interaction is realized on highly transmissive beam-splitter. We have shown that the perfectly of teleportation fidelity depends on the phase difference between the phase of the state to teleport and the phase of the sender's mode, we found that for a difference which approaches 0 or $\pi$, near perfect controlled quantum teleportation can be obtained in terms of the fidelity and independently of the amplitude $\alpha$ and the squeezing parameter $\zeta$. Experimentally, this proposed scheme has been implemented using linear optical components such as beam splitter, phase shifters and photon counters.

Port-based entanglement teleportation via noisy resource states

“…where M 0 is the measure of entanglement of the prepared unknown state defined as equation (20). We can see that entanglement teleportation works perfectly in the asymptotic limit.…”

“…It has been experimentally demonstrated in various systems [10,11] and studied theoretically from diverse perspectives [12][13][14]. Additionally, various application protocols have been proposed to enhance performance or meet specific purposes, such as bidirectional quantum teleportation [15], controlled quantum teleportation [16,17], continuous variable teleportation [18], and their combinations [19,20].…”

Large teleportation of two-qubit state between non-neighboring nodes based on the utilization of multiple cluster states within quantum networks

“…Fidelity serves as a metric for quantifying the extent of agreement between the density matrices of output quantum states in theoretical and experimental scenarios [21,60,61]. A higher fidelity value indicates a more significant overlap, while lower fidelity reflects a lesser degree of agreement.…”

“…The seamless integration of these elements underscores the broad-reaching impact of quantum teleportation on diverse areas of quantum technology. Expanding on the landscape of point-to-point teleportation, numerous schemes have emerged, employing diverse entangled channels encompassing states such as Bell states [9][10][11], GHZ states [12][13][14], W states [15][16][17], cluster states [18][19][20] and hybrid states [21]. Simultaneously, the domain of experimental quantum teleportation has experienced rapid evolution, achieving realizations across a spectrum of physical systems.…”

Long distance entanglement and high-dimensional quantum teleportation in the Fermi–Hubbard model

“…Similarly, the majority of quantum teleportation experiments, were limited to two-dimensional subspaces (qubits), including quantum dot spin qubits 46 . Recently, quantum teleportation has been achieved in high-dimensional quantum photonic systems 47 , 48 . An alternative for photonic platforms, which causes the propagation losses of light, are quantum dots as they are the most scalable and time coherent architectures dedicated for quantum simulation and implementing quantum information tasks in the form of communication and computing 49 .…”