Abstract
A symmetric and (n, n)-threshold scheme for a sender to partition his/her arbitrary single-qubit information among n recipients is proposed by using a newly constructed asymmetric (n + 1)-qubit W state. Both the scheme in some given scenarios and the new W state are also discussed given.
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Bennett C H, Brassard G. Quantum cryptography: Public key distribution and coin tossing. In: proceedings of IEEE International Conference on Computers, Systems, and Signal Processing, Bangalore, India. New York: IEEE, 1984. 175–179
Ekert A K. Quantum cryptography based on Bell’s theorem. Phys Rev Lett, 1991, 67: 661–663
Li X H, Deng F G, Zhou H Y. Efficient quantum key distribution over a collective noise channel. Phys Rev A, 2008, 78: 022321
Bennett C H, Brassard G, Crepeau C, et al. Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. Phys Rev Lett, 1993, 70: 1895–1899
Karlsson A, Bourennane M. Quantum teleportation using three-particle entanglement. Phys Rev A, 1998, 58: 4394–4400
Gao T, Yan F L, Li Y C. Optimal controlled teleportation via several kinds of three-qubit states. Sci China Ser G-Phys Mech Astron, 2008, 51: 1529–1556
Li X H, Deng F G. Controlled teleportation. Front Comput Sci China, 2008, 2: 147–160
Hillery M, Bŭzek V, Berthiaume A. Quantum secret sharing. Phys Rev A, 1999, 59: 1829–1834
Karlsson A, Koashi M, Imoto N. Quantum entanglement for secret sharing and secret splitting. Phys Rev A, 1999, 59: 162–168
Wang W Y, Wang C, Zhang G Y, et al. Arbitrarily long distance quantum communication using inspection and power insertion. Chin Sci Bull, 2009, 54: 158–162
Blakley G R. Safeguarding cryptographic keys. Proceedings of the National Computer Conference, 1979. American Federation of Information Processing Societies Proceedings, 1979, 48. 313–317
Shamir A. How to share a secret. Commun ACM, 1979, 22: 612–613
Cleve R, Gottesman D, Lo H K. How to share a quantum secret. Phys Rev Lett, 1999, 83: 648–651
Gottesman D. Theory of quantum secret sharing. Phys Rev A, 2000, 61: 042311
Tittel W, Zbinden H, Gisin N. Experimental demonstration of quantum secret sharing. Phys Rev A, 2001, 63: 042301
Chau H F. Practical scheme to share a secret key through a quantum channel with a 27.6% bit error rate. Phys Rev A, 2002, 66: 060302
Karimipour V, Bahraminasab A, Bagherinezhad A. Entanglement swapping of generalized cat states and secret sharing. Phys Rev A, 2002, 65: 042320
Bagherinezhad S, Karimipour V. Quantum secret sharing based on reusable Greenberger-Horne-Zeilinger states as secure carriers. Phys Rev A, 2003, 67: 044302
Xiao L, Long G L, Deng F G, et al. Efficient multiparty quantum-secret-sharing schemes. Phys Rev A, 2004, 69: 052307
Zhang Z J. Multiparty quantum secret sharing of secure direct communication. Phys Lett A, 2005, 342: 60–66
Singh S K, Srikanth R. Generalized quantum secret sharing. Phys Rev A, 2005, 71: 012328
Zhang Z J, Man Z X. Multiparty quantum secret sharing of classical messages based on entanglement swapping. Phys Rev A, 2005, 72: 022303
Zhang Z J, Li Y, Man Z X. Multiparty quantum secret sharing. Phys Rev A, 2005, 71: 044301
Gordon G, Rigolin G. Generalized quantum-state sharing. Phys Rev A, 2006, 73: 062316
Wang Z Y, Yuan H, Zhang Z J. Three-party qutrit-state sharing. Eur Phys J D, 2007, 41: 371–375
Wang Z Y, Liu Y M, Zhang Z J. Generalized quantum state sharing of arbitrary unknown two-qubit state. Opt Commun, 2007, 276: 322–326
Bandyopadhyay S. Teleportation and secret sharing with pure entangled states. Phys Rev A, 2000, 62: 012308
Hsu L Y. Quantum secret-sharing protocol based on Grover’s algorithm. Phys Rev A, 2003, 68: 022306
Hsu L Y, Li C M. Quantum secret sharing using product states. Phys Rev A, 2005, 71: 022321
Lance A M, Thomas Symul T, Bowen W P, et al. Tripartite quantum state sharing. Phys Rev Lett, 2004, 92: 177903
Deng F G, Zhou H Y, Long G L. Bidirectional quantum secret sharing and secret splitting with polarized single photons. Phys Lett A, 2005, 337: 329–334
Deng F G, Zhou H Y, Long G L. Improving the security of multiparty quantum secret sharing against Trojan horse attack. Phys Rev A, 2005, 72: 044302
Zhang Y Q, Jin X R, Zhang S. Secret sharing of quantum information via entanglement swapping in cavity QED. Phys Lett A, 2005, 341: 380–384
Deng F G, Li X H, Li C Y, et al. Multiparty quantum-state sharing of an arbitrary two-particle state with Einstein-Podolsky-Rosen pairs. Phys Rev A, 2005, 72: 044301
Deng F G, Li X H, Li C Y et al. Quantum state sharing of an arbitrary two-qubit state with two-photon entanglements and Bell-state measurements. Eur Phys J D, 2006, 39: 459–464
Zhang Z J. Multiparty secret sharing of quantum information via cavity QED. Opt Commun, 2006, 261: 199–202
Lance A M, Symul T, Bowen W P, et al. Continuous-variable quantum-state sharing via quantum disentanglement. Phys Rev A, 2005, 71: 033814
Yan F L, Gao T, Li Y C. Quantum secret sharing between multiparty and multiparty with four states. Sci China Ser G-Phys Mech Astron, 2007, 50: 572–580
Yang Y G, Wen Q Y. Threshold quantum secret sharing between multi-party and multi-party. Sci China Ser G-Phys Mech Astron, 2008, 51: 1308–1315
Deng F G, Li C Y, Li Y S, et al. Symmetric multiparty-controlled teleportation of an arbitrary two-particle entanglement. Phys Rev A, 2005, 72: 022338
Li X H, Deng F G, Zhou H Y. Controlled teleportation of an arbitrary multi-qudit state in a general form with d-dimensional Greenberger-Horne-Zeilinger states. Chin Phys Lett, 2007, 24: 1151–1153
Zhang Z J, Yang J, Man Z X, et al. Multiparty secret sharing of quantum information using and identifying Bell states. Eur Phys J D, 2005, 33: 133–136
Li Y M, Zhang K S, Peng K C. Multiparty secret sharing of quantum information based on entanglement swapping. Phys Lett A, 2004, 324: 420–424
Yu Y F, Feng J, Zhan M S. Multi-output programmable quantum processor. Phys Rev A, 2002, 66: 052310
Yu Y F, Feng J, Zhan M S. Remote information concentration by a Greenberger-Horne-Zeilinger state and by a bound entangled state. Phys Rev A 2003, 68: 024303
Li X H, Zhou P, Li C Y, et al. Efficient symmetric multiparty quantum state sharing of an arbitrary m-qubit state. J Phys B, 2006, 39: 1975–1983
Briegel H J, Raussendorf R. Persistent entanglement in arrays of interacting particles. Phys Rev Lett, 2001, 86: 910–913
Dür W, Briegel H J. Stability of macroscopic entanglement under decoherence. Phys Rev Lett, 2004, 92: 180403
Tian D P, Tao Y J, Qin M. Teleportation of an arbitrary two-qudit state based on the non-maximally four-qudit cluster state. Sci China Ser G-Phys Mech Astron, 2008, 51: 1523–1528
Yeo Y, Chua W K. Teleportation and dense coding with genuine multipartite entanglement. Phys Rev Lett, 2006, 96: 060502
Zhang Z J, Liu Y M, Wang D. Perfect teleportation of arbitrary n-qudit states using different quantum channels. Phys Lett A, 2007, 372: 28–32
Dür W, Vidal G, Cirac J I. Three qubits can be entangled in two inequivalent ways. Phys Rev A, 2000, 62: 062314
Agrawal P, Pati A. Perfect teleportation and superdense coding with W states. Phys Rev A, 2006, 74: 062320
Zheng S B. Splitting quantum information via W states. Phys Rev A, 2006, 74: 054303
Li L Z, Qiu D W. The states of W-class as shared resources for perfect teleportation and superdense coding. J Phys A-Math Theor, 2007, 40: 10871–10885
Zhang Z J, Cheung C Y. Minimal classical communication and measurement complexity for quantum information splitting. J Phys B, 2008, 41: 015503
Zuo X Q, Liu Y M, Zhang W, et al. Minimal classical communication cost and measurement complexity in splitting two-qubit quantum information via asymmetric W states. Int J Quantum Inf, 2008, 6: 1245–1253
Pan G X, Liu Y M, Wang Z Y, et al. Tripartite splitting arbitrary 2-qubit quantum information by using two asymmetric W states. Common Theor Phys, 2009, 51: 227–231
Liu Y M, Yin X F, Zhang W, et al. Tripartition of arbitrary single-qubit quantum information by using asymmetric four-qubit W state. Int J Quantum Inf, 2009, 7: 349–355
Nielsen M A, Chuang I L. Quantum Computation and Quantum Information. Cambridge: Cambridge University Press, 2000
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Supported by the Program for New Century Excellent Talents at the University of China (Grant No. NCET-06-0554), the National Natural Science Foundation of China (Grant Nos. 60677001, 10747146, and 10874122), the Science-Technology Fund of Anhui Province for Outstanding Youth (Grant No. 06042087), the Key Fund of the Ministry of Education of China (Grant No. 206063), the General Fund of the Educational Committee of Anhui Province (Grant No. 2006KJ260B), the Natural Science Foundation of Guangdong Province of China (Grant Nos. 06300345 and 7007806), and the Talent Foundation of High Education of Anhui Province for Outstanding Youth (Grant No. 2009SQRZ018)
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Zhang, W., Liu, Y., Yin, X. et al. Partition of arbitrary single-qubit information among n recipients via asymmetric (n+1)-qubit W state. Sci. China Ser. G-Phys. Mech. Astron. 52, 1611–1617 (2009). https://doi.org/10.1007/s11433-009-0176-0
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DOI: https://doi.org/10.1007/s11433-009-0176-0