Jianwu LIANG, Xiaoshu LIU, Zi CHENG. Quantum secret sharing with graph states based on Chinese remainder theorem[J]. Journal on Communications, 2018, 39(10): 72-78.
DOI:
Jianwu LIANG, Xiaoshu LIU, Zi CHENG. Quantum secret sharing with graph states based on Chinese remainder theorem[J]. Journal on Communications, 2018, 39(10): 72-78. DOI: 10.11959/j.issn.1000-436x.2018220.
Quantum secret sharing with graph states based on Chinese remainder theorem
Based on the topological features of quantum graph states
a quantum secret sharing scheme based on Chinese remainder theorem with a vivid graphic description was proposed.The dealer extracts sub-secrets according to Chinese remainder theorem over finite field
which were imbedded with quantum graph states and transmitted to the legal participants with unitary operations.Group-recovery protocols were used in the secret recovering processing through rebuilding sub-secrets among legal cooperative participants.Analysis shows that it could provide better security and capability of the information.
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references
SHAMIR A . How to share a secret [J ] . Communication of ACM , 1979 , 22 ( 11 ): 621 - 613 .
HILLERY M , BUˇZEK V , BERTHIAUME A . Quantum secret sharing [J ] . Physical Review A , 1999 , 59 ( 3 ): 1829 - 1834 .
SHI R H , SU Q , GUO Y , et al . Quantum secret sharing based on Chinese remainder theorem [J ] . Communications in Theoretical Physics , 2011 , 55 ( 4 ): 573 - 578 .
GUO Y , ZHAO Y . High efficient quantum secret sharing based o-n the Chinese remainder theorem via the orbital angular momentum entanglement analysis [J ] . Quantum Information Processing , 2013 , 12 ( 2 ): 1125 - 1139 .
GUO Y , HUANG D Z , ZENG G H . Multiparty quantum secret s-haring of quantum states using entanglement states [J ] . Chinese Physics Letters , 2008 , 25 ( 1 ): 16 - 19 .
MARKHAM D , SANDERS B C . Graph states for quantum secret sharing [J ] . Physical Review A , 2008 , 78 ( 4 ):042309.
KEET A , FORTESCUE B , MARKHAM D , et al . Quantum secret sharing with qudit graph states [J ] . Physical Review A , 2010 , 82 ( 6 ):062315.
RAHAMAN R , PARKER M G . Quantum scheme for secret sharing based on local distinguish ability [J ] . Physical Review A , 2015 , 91 ( 2 ):022330.
TAVAKOLI A , HERBAUTS I , ZUKOWSKI M , et al . Secret sharing with a single dlevelquantum system [J ] . Physical Review A , 2015 , 92 ( 3 ):030302.
LIANG J W , ZHOU J , SHI J J , et al . Improving continuous variable quantum key distribution using the heralded noiseless linear amplifier with source in the middle [J ] . International Journal of Theoretical Physics , 2015 , 55 ( 2 ): 1156 - 1166 .
WANG C , HUANG P , HUANG D , et al . Practical security of continuous variable quantum key distribution with finite sampling bandwidtheffects [J ] . Physical Review A , 2016 , 93 ( 2 ):022315.
WU Y D , ZHOU J , GONG X B , et al . Continuous variable measurement device independent multipartite quantum communication [J ] . Physical Review A , 2016 , 93 ( 2 ):022325.
AMIRI R , WALLDEN P , KENT A , et al . Secure quantum signatures using insecure quantum channels [J ] . Physical Review A , 2016 , 3 ( 3 ):032325.
QIN H W , DAI Y W . An efficient (t,n) threshold quantum secret sharing without entanglement Quantum error correcting codes using qudit graph states [J ] . Modern Physics Letters B , 2016 , 30 ( 12 ):1650138.
QIN H , ZHU X , DAI Y . A proactive quantum secret sharing scheme based on GHZ state [J ] . Modern Physics Letters B , 2015 , 29 ( 27 ):1550165.
HE X L , YANG C P . Deterministic transfer of multi-qubit GHZ entangled states and quantum secret sharing between different cavityes [J ] . Quantum Information Processing , 2015 , 14 ( 12 ): 4461 - 4474 .
QIN H , DAI Y . Verifiable (t,n) threshold quantum secret sharing using d-dimensional Bellstate [J ] . Information Processing Letters , 2016 , 116 ( 5 ): 351 - 355 .
KEET A , FORTESCUE B , MARKHAM D , et al . Quantum sec-ret sharing with qudit graph states [J ] . Physical Review A , 2010 , 82 ( 6 ): 4229 - 4231 .
TONG X , WEN Q Y , ZHU F C . Quantum secret sharing based on GHZ state entanglement swapping [J ] . Journal of Beijing University of Posts and Telecommunications , 2007 , 30 ( 1 ): 44 - 48 .