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Updated: Jun 6, 2025
00:07
A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
Published on: September 5, 2019
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Communication Complexity of Entanglement-Assisted Multi-Party Computation.
Ruoyu Meng1, Aditya Ramamoorthy1
1Department of Electrical and Computer Engineering, Iowa State University, Ames, IA 50011, USA.
Entropy (Basel, Switzerland)
|November 27, 2024
Summary
This study introduces a quantum protocol for multi-party function computation, outperforming classical methods. The quantum approach significantly reduces communication complexity for calculating generalized inner products among n players.
Area of Science:
- Quantum Information Science
- Computational Complexity Theory
- Distributed Computing
Background:
- Multi-party computation enables distributed calculation of functions.
- Classical communication complexity limits the efficiency of these protocols.
- Quantum resources, like entanglement, may offer advantages in communication.
Purpose of the Study:
- To compare the communication complexity of quantum and classical protocols for a specific multi-party function computation.
- To develop a quantum protocol that leverages entanglement for improved efficiency.
- To establish a lower bound for classical communication complexity in this scenario.
Main Methods:
- Developed a quantum protocol using entangled qudits with classical communication.
- Designed a classical protocol for the same function computation.
- Formulated an integer linear programming model to determine lower bounds on classical communication complexity.
Main Results:
- Exhibited a quantum protocol with (n-1)log(n) bits complexity for prime n.
- Presented a classical protocol with (n-1)2log(n^2) bits complexity.
- Demonstrated that the quantum protocol offers strictly better communication complexity than classical protocols.
Conclusions:
- Quantum protocols utilizing entanglement can significantly reduce communication complexity in multi-party function computation.
- The proposed integer linear programming method provides a valuable tool for analyzing classical communication complexity.
- This work highlights the potential of quantum resources to enhance distributed computation efficiency.
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