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Communication Efficient Quantum Secret Sharing via Extended CSS Codes
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DOI：10.1109/JSAC.2024.3380082.png)
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摘要
En 中文
Recently, a class of quantum secret sharing schemes called communication efficient quantum threshold secret sharing schemes (CE-QTS) was introduced. These schemes reduced the communication cost during secret recovery. In this paper, we introduce a general class of communication efficient quantum secret sharing schemes (CE-QSS) which include both threshold and non-threshold schemes. We propose a framework for constructing CE-QSS schemes to generalize the earlier construction of CE-QTS schemes which was based on the staircase codes. The main component in this framework is a class of quantum codes which we call the extended Calderbank-Shor-Steane codes. These extended CSS codes could have other applications. We derive a bound on communication cost for CE-QSS schemes. Finally, we provide a construction of CE-QSS schemes meeting this bound using the proposed framework.
Keyword:
Codes
Cryptography
Costs
Linear codes
Encoding
Reed-Solomon codes
Generators
Quantum secret sharing
communication complexity
quantum cryptography
staircase codes
extended CSS codes
期刊
IF:
17.2
论文数:
6.4K
被引数:
3.1W
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