Communication Efficient Quantum Secret Sharing via Extended CSS Codes

Kaushik Senthoor, Pradeep Kiran Sarvepalli

Research output: Contribution to journalArticleScientificpeer-review

Abstract

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.

Original languageEnglish
Number of pages13
JournalIEEE Journal on Selected Areas in Communications
DOIs
Publication statusPublished - 2024

Keywords

  • communication complexity
  • extended CSS codes
  • quantum cryptography
  • quantum secret sharing
  • staircase codes

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