Quantum Stabilizer Codes Can Realize Access Structures Impossible by Classical Secret Sharing
نویسنده
چکیده
We show a simple example of a secret sharing scheme encoding classical secret to quantum shares that can realize an access structure impossible by classical information processing with limitation on the size of each share. The example is based on quantum stabilizer codes.
منابع مشابه
Unitary Reconstruction of Secret for Stabilizer Based Quantum Secret Sharing
We propose a unitary procedure to reconstruct quantum secret for a quantum secret sharing scheme constructed from stabilizer quantum errorcorrecting codes. Erasure correcting procedures for stabilizer codes need to add missing shares for reconstruction of quantum secret while unitary reconstruction procedures for certain class of quantum secret sharing are known to work without adding missing s...
متن کاملExploring Quantum Supremacy in Access Structures of Secret Sharing by Coding Theory
We consider secret sharing schemes with a classical secret and quantum shares. One example of such schemes was recently reported whose access structure cannot be realized by any secret sharing schemes with classical shares. In this paper, we report further quantum secret sharing schemes whose access structures cannot be realized by any classical secret sharing schemes.
متن کاملAppears in Proceedings of 26th Symposium on Information Theory in the Benelux (2005) 181–188. Quantum Information Theoretical Analysis of Various Constructions for Quantum Secret Sharing
Recently, an information theoretical model for Quantum Secret Sharing (QSS) schemes was introduced. By using this model, we prove that pure state Quantum Threshold Schemes (QTS) can be constructed from quantum MDS codes and vice versa. In particular, we consider stabilizer codes and give a constructive proof of their relation with QTS. Furthermore, the recoverability and secrecy requirement are...
متن کاملQuantum Secret Sharing Schemes
Nascimento et al. [19] introduced a quantum information theoretical model for Quantum Secret Sharing (QSS) schemes. In this thesis, we describe existing schemes, such as the construction using Monotone Span Programs (MSPs) [16], according to this model. Moreover, the correctness of these schemes is proved in an information theoretical way. In particular, we consider the so-called pure state QSS...
متن کاملConstacyclic Codes over Group Ring (Zq[v])/G
Recently, codes over some special finite rings especially chain rings have been studied. More recently, codes over finite non-chain rings have been also considered. Study on codes over such rings or rings in general is motivated by the existence of some special maps called Gray maps whose images give codes over fields. Quantum error-correcting (QEC) codes play a crucial role in protecting quantum ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- IEICE Transactions
دوره 100-A شماره
صفحات -
تاریخ انتشار 2017