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Entangled state generation via quantum walks with multiple coins

Meng Li, Yun Shang

Published May 7, 2021• 13 citations
Publisher

Abstract

Abstract Generation of entangled state is of paramount importance both from quantum theoretical foundation and technology applications. Entanglement swapping provides an efficient method to generate entanglement in quantum communication protocols. However, perfect Bell measurements for qudits, the key to entanglement swapping, have been proven impossible to achieve by using only linear elements and particle detectors. To avoid this bottleneck, we propose a scheme to generate entangled state including two-qubit entangled state, two-qudit entangled state, three-qubit GHZ state and three-qudit GHZ state between several designate parties via the model of quantum walks with multiple coins. Then we conduct experimental realization of Bell state and three-qubit GHZ state between several designate parties on IBM quantum platform and the result has high fidelity by performing quantum tomography. In the end, we give a practical application of our scheme in multiparty quantum secret sharing.

DOI
10.1038/s41534-021-00401-6

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Abstract Generation of entangled state is of paramount importance both from quantum theoretical foundation and technology applications. Entanglement swapping provides an efficient method to generate entanglement in quantum communication protocols. However, perfect Bell measurements for qudits, the key to entanglement swapping, have been proven impossible to achieve by using only linear elements and particle detectors. To avoid this bottleneck, we propose a scheme to generate entangled state including two-qubit entangled state, two-qudit entangled state, three-qubit GHZ state and three-qudit GHZ state between several designate parties via the model of quantum walks with multiple coins. Then we conduct experimental realization of Bell state and three-qubit GHZ state between several designate parties on IBM quantum platform and the result has high fidelity by performing quantum tomography. In the end, we give a practical application of our scheme in multiparty quantum secret sharing.
Generation of entangled state is of paramount importance both from quantum theoretical foundation and technology applications. Entanglement swapping provides an efficient method to generate entanglement in quantum communication protocols. However, perfect Bell measurements for qudits, the key to entanglement swapping, have been proven impossible to achieve by using only linear elements and particle detectors. To avoid this bottleneck, we propose a novel scheme to generate entangled state including two-qubit entangled state, two-qudit entangled state, three-qubit GHZ state and three-qudit GHZ state between several designate parties via the model of quantum walks with multiple coins. Then we conduct experimental realization of Bell state and three-qubit GHZ state between several designate parties on IBM quantum platform and the result has high fidelity by preforming quantum tomography. In the end, we give a practical application of our scheme in multiparty quantum secret sharing.
Abstract Quantum state transfer is an important task for scalable quantum complex networks. By selecting quantum walks with two coins as the basic model and two coin spaces as the communication carriers, we successfully implement some perfect state transfer tasks on various graphs (Shang et al 2019 Europhys. Lett. 124 60009). Here, we provide the first experimental realization of this scheme by IBM Quantum Experience platform. Especially, we demonstrate the transfer of Bell state, GHZ state and W state on complete graph through this quantum apparatus. Furthermore, we notice that our protocols have high fidelity by performing quantum state tomography.
Abstract To address the challenge of disseminating confidential information from multiple agents to multiple agents, a dynamic quantum secret sharing protocol is proposed for multiparty ( agents in the Group 1) to multiparty ( agents in the Group 2) based on entanglement swapping of Bell states. This protocol accommodates an unequal number of agents in two groups with and enables the addition and revocation of agents in the Group 2 in both the pre‐measurement phase and the post‐measurement phase. In addition, agents in the Group 1 can verify the shares of agents in the Group 2 without the need for a third party, which significantly enhances the security and simplifies the protocol. A comprehensive security analysis demonstrates that the protocol can effectively resist common attacks in quantum communications. The simulation on the IBM's Qiskit framework shows the correctness and usefulness of the protocol. Compared with previous protocols, the protocol is more flexible and practical. Moreover, the protocol based on Bell states exhibits superior performance compared with previous protocols that utilised others entangled states. This study offers a more flexible and efficient solution for advancing the field of quantum secure communications.
We introduce a class of multi-particle Greenberger-Horne-Zeilinger (GHZ) states, and study entanglement swapping between two qubit systems for Bell states and for the class of GHZ states, respectively. We generalize the bi-system entanglement swapping of Bell states and multi-particle GHZ states to any number of qubit systems. We further study the entanglement swapping schemes between any number of Bell states and between any number of the introduced GHZ states in a detailed way, and propose the schemes that can generate two identical GHZ states. We illustrate the applications of such schemes in quantum information processing by proposing quantum protocols for quantum key distribution, quantum secret sharing and quantum private comparison.
Abstract Quantum secret sharing (QSS) is a multi-party quantum communication mode, which allows the dealer to split a key into several parts and send each part of a key to a participant. The participants can obtain the key only by cooperation. Entanglement swapping is a promising method to construct the entanglement channel. In the paper, we propose a multiple-participant measurement-device-independent QSS protocol based on entanglement swapping. All the measurement tasks are handed over to an untrusted measurement party, so that our protocol can resist all possible attacks from imperfect measurement devices. Our protocol requires the linear-optical Bell state analysis, which is easy to operate. Our protocol has application potential in the future quantum communication field.
Since the first quantum secret sharing protocol based on Greenberger–Horne–Zeilinger (GHZ) states was presented by Hillery et al, dozens of quantum secret sharing protocols based on different entangled states (e.g. Bell states, d-level Bell states and GHZ states, etc) and product states have been developed. In this paper, we present a quantum secret sharing protocol, in which the genuinely maximally entangled six-qubit states, which was found recently by Borras et al, are used. An ordinary entangled state such as a Bell state or a GHZ state, etc can be used to share at most only one bit. However, according to our protocol, Alice can share three bits among three parties by a six-qubit state, which shows that our protocol is more efficient than any previous protocol.