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.
Shogo CHIWAKI
Tokyo Institute of Technology
Ryutaroh MATSUMOTO
Tokyo Institute of Technology,Aalborg University
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Shogo CHIWAKI, Ryutaroh MATSUMOTO, "Performance Comparison of the Two Reconstruction Methods for Stabilizer-Based Quantum Secret Sharing" in IEICE TRANSACTIONS on Fundamentals,
vol. E107-A, no. 3, pp. 526-529, March 2024, doi: 10.1587/transfun.2023TAL0001.
Abstract: 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.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2023TAL0001/_p
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@ARTICLE{e107-a_3_526,
author={Shogo CHIWAKI, Ryutaroh MATSUMOTO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Performance Comparison of the Two Reconstruction Methods for Stabilizer-Based Quantum Secret Sharing},
year={2024},
volume={E107-A},
number={3},
pages={526-529},
abstract={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.},
keywords={},
doi={10.1587/transfun.2023TAL0001},
ISSN={1745-1337},
month={March},}
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TY - JOUR
TI - Performance Comparison of the Two Reconstruction Methods for Stabilizer-Based Quantum Secret Sharing
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 526
EP - 529
AU - Shogo CHIWAKI
AU - Ryutaroh MATSUMOTO
PY - 2024
DO - 10.1587/transfun.2023TAL0001
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E107-A
IS - 3
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - March 2024
AB - 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.
ER -