Proposal for the complete high-dimensional Greenberger-Horne-Zeilinger state measurement
Zhi Zeng
TL;DR
This paper proposes a theoretical method for complete measurement of high-dimensional GHZ states using hyperentanglement and quantum Fourier transform, applicable to multi-photon systems in quantum computing and communication.
Contribution
It introduces a novel approach for complete high-dimensional GHZ state measurement applicable to N-photon, d-dimensional systems, expanding quantum measurement capabilities.
Findings
Demonstrates complete three-photon GHZ state measurement in three dimensions
Generalizes the approach to N-photon, d-dimensional systems
Utilizes hyperentanglement and quantum Fourier transform techniques
Abstract
A theoretical proposal for the complete analysis of high-dimensional Greenberger-Horne-Zeilinger (GHZ) state is presented in this Letter. We first demonstrate the approach for the complete three-photon GHZ state measurement in three dimensions, and then generalize it to the situation of N-photon system in d dimensions. In our approach, the photonic hyperentanglement and quantum Fourier transform are both utilized. The presented proposal will be useful for the high-dimensional multi-photon quantum computation and quantum communication.
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Taxonomy
TopicsQuantum Information and Cryptography · Optical Network Technologies · Quantum Mechanics and Applications