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International Journal of Theoretical Physics

Secure Multi-Party Quantum Private Information Query

Hong Ge Tao, Xiaoqing Tan, Tingting Song

Published Jan 31, 2020• 1 citation
Publisher
DOI
10.1007/s10773-020-04391-7

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With the development of quantum wireless networks, the practical application of quantum private query (QPQ) should conform to the features of quantum wireless networks to achieve any-to-any query, and QPQ requires a new query mechanism. We first propose a scheme for a network private query in a quantum wireless network with multiple third parties, in which any user can query any database with the assistance of the third parties, by measuring each of the distant nodes that initially share entanglement with each other. The required entanglement among these nodes is established by the third-party intermediate node equipped with GHZ generator using multi-qubit GHZ states. A bilayer network topology, as well as the corresponding private query protocol, ensures the rapid and secure private query. Under the protection of the multi-qubit GHZ state's quantum correlation, the privacy of Alice and Bob is protected from the third parties' fake entangled attack and external attack, and they cannot obtain the privacy of each other by taking quantum memory attack. The performance parameters of the proposed scheme are described based on the analysis of classical wireless communication cost and communication delay.
ABSTRACT As an important branch of quantum‐secure multi‐party computation, quantum‐secure multi‐party computational geometry aims to solve geometric computation problems without revealing the parties' geometric inputs. Privacy‐preserving point‐circle and circle‐circle positional relationships are classic problems in secure multi‐party computational geometry, with broad applications in privacy‐preserving queries, collision detection, and clustering. Building on the quantum two‐party summation and multiplication protocols proposed by Sutradhar and Om, this paper presents the first quantum‐secure protocols for determining point‐circle and circle‐circle positional relationships, enabling accurate relationship determination without disclosing private geometric parameters. Security analysis and simulation experiments on the IBM Qiskit platform demonstrate the security and feasibility of the proposed protocols. Furthermore, since existing quantum privacy‐preserving range query protocols are limited to one‐dimensional linear spaces, we build on the proposed protocols to present the first quantum‐secure privacy‐preserving geometric range query protocol, which enables arbitrary geometric range search for private coordinates in the two‐dimensional space while protecting the privacy of the query range and data points.
Abstract Quantum private query (QPQ) enables users to extract desired entries from a database without decrypting its content, while simultaneously safeguarding both user query privacy and database security. In this paper, we propose a multi-user QPQ protocol based on Greenberger–Horne–Zeilinger (GHZ) states, which allows two distant users, Alice 1 and Alice 2 , to jointly query the same database entry. The protocol introduces a semi-trusted third party to prepare and distribute the GHZ states, and employs a bidirectional authentication mechanism to ensure the authenticity of the communicating entities. Security analysis demonstrates that the proposed protocol effectively resists both internal and external attacks and exhibits resilience against quantum computing attacks. Compared with existing QPQ schemes, the protocol significantly improves user privacy and database security while supporting multi-user collaborative queries.