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Performance Comparison of the Two Reconstruction Methods for Stabilizer-Based Quantum Secret Sharing

Shogo CHIWAKI, Ryutaroh MATSUMOTO

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Summary :

Stabilizer-based quantum secret sharing has two methods to reconstruct a quantum secret: The erasure correcting procedure and the unitary procedure. It is known that the unitary procedure has a smaller circuit width. On the other hand, it is unknown which method has smaller depth and fewer circuit gates. In this letter, it is shown that the unitary procedure has smaller depth and fewer circuit gates than the erasure correcting procedure which follows a standard framework performing measurements and unitary operators according to the measurements outcomes, when the circuits are designed for quantum secret sharing using the [[5, 1, 3]] binary stabilizer code. The evaluation can be reversed if one discovers a better circuit for the erasure correcting procedure which does not follow the standard framework.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E107-A No.3 pp.526-529
Publication Date
2024/03/01
Publicized
2023/09/20
Online ISSN
1745-1337
DOI
10.1587/transfun.2023TAL0001
Type of Manuscript
Special Section LETTER (Special Section on Information Theory and Its Applications)
Category
Quantum Information Theory

Authors

Shogo CHIWAKI
  Tokyo Institute of Technology
Ryutaroh MATSUMOTO
  Tokyo Institute of Technology,Aalborg University

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