dorsal/arxiv
View SchemaQuantum secret sharing between m-party and n-party with six states
| Authors | Ting Gao, Feng-Li Yan, You-Cheng Li |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0601111 |
| URL | https://arxiv.org/abs/quant-ph/0601111 |
| DOI | 10.1007/s11433-009-0157-3 |
| Journal | Science in China Series G, 2009, 52 (8): 1191-1202. |
Abstract
We propose a quantum secret sharing scheme between $m$-party and $n$-party using three conjugate bases, i.e. six states. A sequence of single photons, each of which is prepared in one of the six states, is used directly to encode classical information in the quantum secret sharing process. In this scheme, each of all $m$ members in group 1 choose randomly their own secret key individually and independently, and then directly encode their respective secret information on the states of single photons via unitary operations, then the last one (the $m$th member of group 1) sends $1/n$ of the resulting qubits to each of group 2. By measuring their respective qubits, all members in group 2 share the secret information shared by all members in group 1. The secret message shared by group 1 and group 2 in such a way that neither subset of each group nor the union of a subset of group 1 and a subset of group 2 can extract the secret message, but each whole group (all the members of each group) can. The scheme is asymptotically 100% in efficiency. It makes the Trojan horse attack with a multi-photon signal, the fake-signal attack with EPR pairs, the attack with single photons, and the attack with invisible photons to be nullification. We show that it is secure and has an advantage over the one based on two conjugate bases. We also give the upper bounds of the average success probabilities for dishonest agent eavesdropping encryption using the fake-signal attack with any two-particle entangled states. This protocol is feasible with present-day technique.
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"abstract": "We propose a quantum secret sharing scheme between $m$-party and $n$-party\nusing three conjugate bases, i.e. six states. A sequence of single photons,\neach of which is prepared in one of the six states, is used directly to encode\nclassical information in the quantum secret sharing process. In this scheme,\neach of all $m$ members in group 1 choose randomly their own secret key\nindividually and independently, and then directly encode their respective\nsecret information on the states of single photons via unitary operations, then\nthe last one (the $m$th member of group 1) sends $1/n$ of the resulting qubits\nto each of group 2. By measuring their respective qubits, all members in group\n2 share the secret information shared by all members in group 1. The secret\nmessage shared by group 1 and group 2 in such a way that neither subset of each\ngroup nor the union of a subset of group 1 and a subset of group 2 can extract\nthe secret message, but each whole group (all the members of each group) can.\nThe scheme is asymptotically 100% in efficiency. It makes the Trojan horse\nattack with a multi-photon signal, the fake-signal attack with EPR pairs, the\nattack with single photons, and the attack with invisible photons to be\nnullification. We show that it is secure and has an advantage over the one\nbased on two conjugate bases. We also give the upper bounds of the average\nsuccess probabilities for dishonest agent eavesdropping encryption using the\nfake-signal attack with any two-particle entangled states. This protocol is\nfeasible with present-day technique.",
"arxiv_id": "quant-ph/0601111",
"authors": [
"Ting Gao",
"Feng-Li Yan",
"You-Cheng Li"
],
"categories": [
"quant-ph"
],
"doi": "10.1007/s11433-009-0157-3",
"journal_ref": "Science in China Series G, 2009, 52 (8): 1191-1202.",
"title": "Quantum secret sharing between m-party and n-party with six states",
"url": "https://arxiv.org/abs/quant-ph/0601111"
},
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