SECURE QUANTUM CARRIERS FOR QUANTUM STATE SHARING

We develop the concept of quantum carrier and show that messages can be uploaded and downloaded from this carrier and while in transit, these messages are hidden from external agents. We explain in detail the working of the quantum carrier for different communication tasks, including quantum key distribution, classical secret and quantum state sharing among a set of n players according to general threshold schemes. The security of the protocol is discussed and it is shown that only the legitimate subsets can retrieve the secret messages, the collaboration of all the parties is needed for the continuous running of the protocol and maintaining the carrier.

[1]  Shor,et al.  Good quantum error-correcting codes exist. , 1995, Physical review. A, Atomic, molecular, and optical physics.

[2]  H. Weinfurter,et al.  Experimental demonstration of four-party quantum secret sharing. , 2006, Physical review letters.

[3]  R. Cleve,et al.  HOW TO SHARE A QUANTUM SECRET , 1999, quant-ph/9901025.

[4]  Adi Shamir,et al.  How to share a secret , 1979, CACM.

[5]  Dorit Aharonov,et al.  Fault-tolerant Quantum Computation with Constant Error Rate * , 1999 .

[6]  M. Koashi,et al.  Quantum entanglement for secret sharing and secret splitting , 1999 .

[7]  B. Sanders,et al.  How to share a continuous-variable quantum secret by optical interferometry , 2001, quant-ph/0107074.

[8]  Jian-Wei Pan,et al.  Experimental quantum secret sharing and third-man quantum cryptography. , 2005, Physical review letters.

[9]  I. Walmsley,et al.  Single-photon-level quantum memory at room temperature. , 2010, Physical review letters.

[10]  R. Rosenfeld.  Nature , 2009, Otolaryngology--head and neck surgery : official journal of American Academy of Otolaryngology-Head and Neck Surgery.

[11]  D. Gottesman.  Theory of quantum secret sharing , 1999, quant-ph/9910067.

[12]  V. Karimipour,et al.  Quantum secret sharing based on reusable GHZ states as secure carriers , 2002, quant-ph/0204124.

[13]  Jian-Wei Pan,et al.  Experimental demonstration of a BDCZ quantum repeater node , 2008, Nature.

[14]  Giuliano Benenti,et al.  Quantum Computers, Algorithms and Chaos , 2006 .

[15]  Yong-Sheng Zhang,et al.  Quantum key distribution via quantum encryption , 2000, quant-ph/0011034.

[16]  Dorit Aharonov,et al.  Fault-tolerant quantum computation with constant error , 1997, STOC '97.

[17]  Zhan-jun Zhang,et al.  Multiparty quantum secret sharing , 2004, quant-ph/0412203.

[18]  Martin Rötteler,et al.  Efficient Quantum Circuits for Non-qubit Quantum Error-correcting Codes , 2002 .

[19]  Z. Man,et al.  Multiparty quantum secret sharing of classical messages based on entanglement swapping , 2004, quant-ph/0406103.

[20]  A. Steane.  Multiple-particle interference and quantum error correction , 1996, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[21]  V. Buzek,et al.  Quantum secret sharing , 1998, quant-ph/9806063.

[22]  A. Klappenecker,et al.  Sharing classical secrets with Calderbank-Shor-Steane codes , 2009 .

[23]  D. Markham,et al.  Graph states for quantum secret sharing , 2008, 0808.1532.

[24]  Wolfgang Dür,et al.  Quantum Repeaters: The Role of Imperfect Local Operations in Quantum Communication , 1998 .

[25]  Barry C. Sanders,et al.  Continuous-variable quantum-state sharing via quantum disentanglement , 2004, quant-ph/0411191.

[26]  D. Markham,et al.  Quantum secret sharing with qudit graph states , 2010, 1004.4619.

[27]  W. Bowen,et al.  Tripartite quantum state sharing. , 2003, Physical review letters.