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arXiv:2502.19033 · Laser Physics Letters

Tridirectional quantum teleportation protocol in continuous variables

E. A. Nesterova, S. B. Korolev

Published Mar 12, 2025• 0 citations
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Abstract

Abstract We propose a protocol for tridirectional quantum teleportation in continuous variables. A special feature of the protocol is the possibility to choose one of three scenarios: simultaneous exchange between three participants, exchange between any two participants, or the transfer of two states to a third participant. We use a cluster state in continuous variables as the main resource to realise tridirectional quantum teleportation. In the paper, we obtain several possible configurations of cluster states in continuous variables that can be used as the main resource. From the whole range of configurations, we have chosen those that realise the protocol with the smallest possible error.

DOI
10.1088/1612-202x/adbd22

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Abstract We propose a protocol for tridirectional quantum teleportation in continuous variables. A special feature of the protocol is the possibility to choose one of three scenarios: simultaneous exchange between three participants, exchange between any two participants, or the transfer of two states to a third participant. We use a cluster state in continuous variables as the main resource to realise tridirectional quantum teleportation. In the paper, we obtain several possible configurations of cluster states in continuous variables that can be used as the main resource. From the whole range of configurations, we have chosen those that realise the protocol with the smallest possible error.
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Very recently, we took part in a new development of quantum information, the so-called continuous variable (CV) quantum information theory. Such a further development is mainly due to the experimental and theoretical advantages offered by CV systems, i.e., quantum systems described by a set of observables, like position and momentum, which have a continuous spectrum of eigenvalues. According to this novel trend, quantum information protocols like quantum teleportation have been suitably extended to the CV framework. Here, we briefly review some mathematical tools relative to CV systems, and we consequently develop the concepts of quantum entanglement and teleportation in the CV framework by analogy with the qubit-based approach. Some connections between teleportation fidelity and entanglement properties of the underlying quantum channel are inspected. Next, we address the study of CV quantum teleportation networks where more users share a multipartite state and an arbitrary pair of them performs quantum teleportation. In this context, we show alternative protocols, and we investigate the optimal strategy that maximizes the performance of the network.
Quantum teleportation, a transfer protocol of quantum states, is the essence of many sophisticated quantum information protocols. There have been two complementary approaches to optical quantum teleportation: discrete variables (DVs) and continuous variables (CVs). However, both approaches have pros and cons. Here we take a “hybrid” approach to overcome the current limitations: CV quantum teleportation of DVs. This approach enabled the first realization of deterministic quantum teleportation of photonic qubits without post-selection. We also applied the hybrid scheme to several experiments, including entanglement swapping between DVs and CVs, conditional CV teleportation of single photons, and CV teleportation of qutrits. We are now aiming at universal, scalable, and fault-tolerant quantum computing based on these hybrid technologies.