2015
DOI: 10.1038/srep16967
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Quantum secret sharing via local operations and classical communication

Abstract: We investigate the distinguishability of orthogonal multipartite entangled states in d-qudit system by restricted local operations and classical communication. According to these properties, we propose a standard (2, n)-threshold quantum secret sharing scheme (called LOCC-QSS scheme), which solves the open question in [Rahaman et al., Phys. Rev. A, 91, 022330 (2015)]. On the other hand, we find that all the existing (k, n)-threshold LOCC-QSS schemes are imperfect (or “ramp”), i.e., unauthorized groups can obta… Show more

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Cited by 59 publications
(28 citation statements)
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“…However, it is hard to map the quantum state to n quantum states in coding. Later, some other threshold schemes are proposed with different physical characteristics, such as those in [25][26][27] benefit from continuous variable and in [28][29][30] construct from the ability of exactly distinguishing orthogonal multipartite entangled states under restricted local operation and classical communication. Some schemes [31][32][33][34][35] take advantage of the classical (t, n)-SS, which using phase shift operation to embed the secret and shares generated from classical (t, n)-SS into processed quantum state, so after sequential operations, participants can collaborate to recover secret.…”
Section: Comparisons and Discussionmentioning
confidence: 99%
“…However, it is hard to map the quantum state to n quantum states in coding. Later, some other threshold schemes are proposed with different physical characteristics, such as those in [25][26][27] benefit from continuous variable and in [28][29][30] construct from the ability of exactly distinguishing orthogonal multipartite entangled states under restricted local operation and classical communication. Some schemes [31][32][33][34][35] take advantage of the classical (t, n)-SS, which using phase shift operation to embed the secret and shares generated from classical (t, n)-SS into processed quantum state, so after sequential operations, participants can collaborate to recover secret.…”
Section: Comparisons and Discussionmentioning
confidence: 99%
“…Moreover, further appealing applications conflicting the history are improved, such as quantum dense teleportation and coding. As far as this, three appealing branches of quantum cryptography are QKD [18][19][20][21], quantum secret sharing (QSS) [22][23][24][25] and quantum secure direct communication (QSDC) [26][27][28][29].…”
Section: Related Workmentioning
confidence: 99%
“…In particular, on Hilbert space of d -level quantum system, the X gate and Z gate are represented by ref. 24 …”
Section: Preliminariesmentioning
confidence: 99%