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Communications in Theoretical Physics

Two Approaches for Indirect Teleportation with Partially Entangled States

Ziyun Zhang, Chunjie Xu, Wen Zhang, Zhanjun Zhang

Published Dec 1, 2010• 0 citations
Publisher

Abstract

Teleportation of a qubit with two partially entangled qubit states linking three nodes as quantum channels is extensively studied via the usual ancilla method. With the method two realization approaches, i.e., the node progression approach and the global accumulation approach, are presented. Their resource consumptions, operation complexities, and efficiencies are evaluated and compared. It is found that the latter approach is better than the former one besides the error is partially self-corrected. The latter approach is further improved so that two merits are resultant. The improved version is compared with a similar protocol [M.Y. Wang and F.L. Yan, Eur. Phys. J. D 54 (2009) 111 ]. Their merits and additional costs are exposed.

DOI
10.1088/0253-6102/54/6/11

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Teleportation of a qubit with two partially entangled qubit states linking three nodes as quantum channels is extensively studied via the usual ancilla method. With the method two realization approaches, i.e., the node progression approach and the global accumulation approach, are presented. Their resource consumptions, operation complexities, and efficiencies are evaluated and compared. It is found that the latter approach is better than the former one besides the error is partially self-corrected. The latter approach is further improved so that two merits are resultant. The improved version is compared with a similar protocol [M.Y. Wang and F.L. Yan, Eur. Phys. J. D 54 (2009) 111 ]. Their merits and additional costs are exposed.
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The probabilistic quantum teleportation scheme [ Phys. Lett. A 305 (2002) 12 ] is improved via two seemingly different methods (i.e., the usual ancilla method and the so-called Kraus method), respectively. The essence of the improvements is to fetch a part from the residues so that the success probability is accordingly increased. The two improved versions and a similar protocol proposed by Li et al. [ Phys. Rev. A 61 (2000) 034301 ] are compared mutually and discussed. It is found that they are equally efficient and can reach the success probability threshold determined by the inherent entanglement of the quantum channel.
The traditional method for information transfer in a quantum communication system using partially entangled state resource is quantum distillation or direct teleportation. In order to reduce the waiting time cost in hop-by-hop transmission and execute independently in each node, we propose a quantum bridging method with partially entangled states to teleport quantum states from source node to destination node. We also prove that the designed specific quantum bridging circuit is feasible for partially entangled states teleportation across multiple intermediate nodes. Compared to two traditional ways, our partially entanglement quantum bridging method uses simpler logic gates, has better security, and can be used in less quantum resource situation.
Abstract To implement remote control operations in quantum networks, two schemes for the multi-hop quantum operation teleportation are proposed by using different partially entangled states. One is to adopt high-level partially Bell states as quantum channels, the other is to use high-level partially GHZ-Bell states. By comparing the two schemes, it is found that although both schemes have the same communication delay, the latter has less classical information cost and higher success probability of the communication.
In this paper, we introduced circuits for three- and four-particle quantum systems to generate W states with any arbitrary coefficients and phases. Subsequently, each qubit was transmitted separately through a four-qubit entangled channel. Before transmission, the sender performed pre-processing on their qubits to minimize the resources required for transmission. Additionally, the receiver applied post-processing using the ancilla qubit(s) to recover the final states. To further improve efficiency, it is preferable to implement the protocol in a bidirectional manner, as this allows the unknown qubits initially held by the users to be utilized ancilla qubit(s). Finally, we compared our protocol with similar works and validated the correctness of the protocol by simulating it using Qiskit, a tool provided by IBM.