Broadcasting single-qubit and multiqubit entangled states: Authentication, cryptography, and distributed quantum computation

Broadcasting single-qubit and multiqubit entangled states: Authentication, cryptography, and distributed quantum computation
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DOI:
10.1103/physreva.107.062605
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发表时间:
2023-03
期刊:
影响因子:
2.9
通讯作者:
Hiroki Sukeno;T. Wei;M. Hillery;J. Bergou;Dov Fields;V. Malinovsky
Hiroki Sukeno;T. Wei;M. Hillery;J. Bergou;Dov Fields;V. Malinovsky
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Hiroki Sukeno;T. Wei;M. Hillery;J. Bergou;Dov Fields;V. Malinovsky

文献摘要

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辅助测量的量子纠缠提供了向网络内各方传达信息的各种途径。在这项工作中,我们概括了以前的广播协议,并提出了广播产品和多部分纠缠量子态的方案,在后一种情况下,发送者可以远程添加相位门或中止分配状态。我们首先关注网络中产品量子态的广播,并将基本协议概括为包括任意基础旋转并允许多个接收器和发送器。我们展示了如何在网络中添加和删除发件人。该概括还包括这样的情况:预先不知道要应用于广播状态的相位,但将其提供给以另一量子状态编码的发送方。广播产品状态的应用包括身份验证和三态量子密码。在第二部分中,我们研究了与多量子位相位门纠缠的多个接收器之间共享的单个多量子位状态的分布,其中包括图状态作为示例。我们证明,通过与发送方协调,接收方可以仅通过 Pauli X 基测量来协助执行远程、基于分布式测量的量子计算。作为其另一个应用,我们讨论多量子位 Greenberger-Horne-Zeilinger 状态的分布。
Quantum entanglement assisted with measurements provides various pathways to communicate information to parties within a network. In this work, we generalize a previous broadcasting protocol and present schemes to broadcast product and multi-partite entangled quantum states, where in the latter case the sender can remotely add phase gates or abort distributing the states. We first focus on the broadcasting of product quantum states in a network, and generalize the basic protocol to include an arbitrary basis rotation and allow for multiple receivers and senders. We show how to add and delete senders from the network. The generalization also includes the case where a phase to be applied to the broadcast states is not known in advance but is provided to a sender encoded in another quantum state. Applications of broadcasting product states include authentication and three-state quantum cryptography. In the second part, we study the distribution of a single multi-qubit state shared among several receivers entangled with multi-qubit phase gates, which includes the graph states as an example. We show that by coordinating with the sender, the receivers can assist in performing remote, distributed measurement-based quantum computation with the Pauli X basis measurement alone. As another application of this, we discuss the distribution of the multi-qubit Greenberger-Horne-Zeilinger state.