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Two Quantum Protocols for Oblivious Set-member Decision Problem.

Run-Hua Shi1,2, Yi Mu2, Hong Zhong1

  • 1School of Computer Science and Technology, Anhui University, Hefei City, 230601, China.

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|October 31, 2015
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Summary
This summary is machine-generated.

This study introduces the Oblivious Set-member Decision problem for secure multi-party computation. Two quantum protocols are proposed to efficiently solve this problem, enhancing user privacy in collaborative computations.

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Area of Science:

  • Cryptography
  • Quantum Information Science
  • Computer Science

Background:

  • Secure multi-party computation (SMC) is crucial for privacy-preserving collaborative computations.
  • Existing SMC protocols often face challenges in balancing security, efficiency, and feasibility.
  • The need for specialized SMC problems with broad applications is evident.

Purpose of the Study:

  • To define and introduce the Oblivious Set-member Decision problem.
  • To develop novel quantum protocols for solving this new SMC problem.
  • To explore the practical implications and efficiency of quantum solutions for privacy-preserving computations.

Main Methods:

  • Definition of the Oblivious Set-member Decision problem.
  • Development of two distinct quantum protocols utilizing quantum oracle operations and single-particle measurements.
  • Analysis of communication and computation complexity for the proposed protocols.

Main Results:

  • Protocol I offers reduced communication and computation complexity by leveraging quantum oracle operations.
  • Protocol II demonstrates feasibility using photons and simple projective measurements, suitable for current technology.
  • Both protocols enable oblivious set membership checking, a key component for various privacy-preserving applications.

Conclusions:

  • The Oblivious Set-member Decision problem is a valuable addition to the field of secure multi-party computation.
  • Quantum computation offers efficient and feasible solutions for this problem, with varying trade-offs.
  • The proposed protocols have significant potential applications in areas like private set intersection, anonymous authentication, and electronic voting.