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We investigate the influence of decoherence of entanglement on the deterministic remote state preparation. Firstly, the determinability and the depletion of entanglement bits and classical bits are obtained. Then two kinds of decoherent channels (depolarizing and dephasing) are analyzed. For the depolarizing channel, the fidelity is related only to the depolarization and the latitude of target quantum bits on the Bloch sphere, but is independent of longitude. For the dephasing channel, the fidelity is not affected by the quantum channel and only related to the latitude of target quantum bits.
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Keywords:
- remote state preparation /
- decoherence of entanglement /
- cost /
- fidelity
[1] Bennett C H, Brassard G, Claude C, Jozsa R, Peres A, Wootters W K 1993 Phys. Rev. Lett. 70 1895
[2] Lo H K 2000 Phys. Rev. A 62 012313
[3] Dai H Y, Chen P X, Zhang M, Li C Z 2008 Chin. Phys. B 17 27
[4] Lin X, Li H C, Lin X M, Li X H, Yang R C 2007 Chin. Phys. 16 1209
[5] Chen L B, Jin R B, Lu H 2009 Chin. Phys. B 18 30
[6] Guo Y, Chen Z G, Zeng G H 2007 Chin. Phys. 16 2549
[7] Pati A K 2000 Phys. Rev. A 63 014302
[8] Leung D W, Shor P W 2003 Phys. Rev. Lett. 90 127905
[9] Tao Y, Pan W, Luo B 2008 Acta Phys. Sin. 57 2016 (in Chinese)[陶 源、 潘 炜、 罗 斌 2008 57 2016]
[10] Ma P C, Zhan Y B 2008 Chin. Phys. B 17 445
[11] Rosenfeld W, Berner S, Volz J, Weber M, Weinfurter H 2007 Phys. Rev. Lett. 98 050504
[12] Liu W T, Wu W, Ou B Q, Chen P X, Li C Z, Yuan J M 2007 Phys. Rev. A 76 022308
[13] Wu W, Liu W T, Chen P X, Li C Z 2010 Phys. Rev. A 81 042301
[14] Wu W, Liu W T, Chen P X, Li C Z 2009 Opt. Commun. 282 2093
[15] Zurek W H 2003 Rev. Mod. Phys. 75 715
[16] Melikidze A, Dobrovitski V V, De Raedt H A, Katsnelson M I, Harmon B N 2004 Phys. Rev. B 70 014435
[17] Liang H Q, Liu J M 2009 Acta Phys. Sin. 58 3692(in Chinese) [梁华秋、 刘金明 2009 58 3692]
[18] Wang F Q, Zhang Z M, Liang R S 2009 Chin. Phys. B 18 597
[19] Quan H T, Song Z, Liu X F, Zanardi P, Sun C P 2006 Phys. Rev. Lett. 96 140604
[20] Cucchietti F M, Sonia F V, Juan P P 2007 Phys. Rev A 75 032337
[21] Sun Z, Wang X G, Sun C P 2007 Phys. Rev. A 75 062312
[22] Xiang G Y, Li J, Yu B, Guo G C 2005 Phys. Rev. A 72 012315
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[1] Bennett C H, Brassard G, Claude C, Jozsa R, Peres A, Wootters W K 1993 Phys. Rev. Lett. 70 1895
[2] Lo H K 2000 Phys. Rev. A 62 012313
[3] Dai H Y, Chen P X, Zhang M, Li C Z 2008 Chin. Phys. B 17 27
[4] Lin X, Li H C, Lin X M, Li X H, Yang R C 2007 Chin. Phys. 16 1209
[5] Chen L B, Jin R B, Lu H 2009 Chin. Phys. B 18 30
[6] Guo Y, Chen Z G, Zeng G H 2007 Chin. Phys. 16 2549
[7] Pati A K 2000 Phys. Rev. A 63 014302
[8] Leung D W, Shor P W 2003 Phys. Rev. Lett. 90 127905
[9] Tao Y, Pan W, Luo B 2008 Acta Phys. Sin. 57 2016 (in Chinese)[陶 源、 潘 炜、 罗 斌 2008 57 2016]
[10] Ma P C, Zhan Y B 2008 Chin. Phys. B 17 445
[11] Rosenfeld W, Berner S, Volz J, Weber M, Weinfurter H 2007 Phys. Rev. Lett. 98 050504
[12] Liu W T, Wu W, Ou B Q, Chen P X, Li C Z, Yuan J M 2007 Phys. Rev. A 76 022308
[13] Wu W, Liu W T, Chen P X, Li C Z 2010 Phys. Rev. A 81 042301
[14] Wu W, Liu W T, Chen P X, Li C Z 2009 Opt. Commun. 282 2093
[15] Zurek W H 2003 Rev. Mod. Phys. 75 715
[16] Melikidze A, Dobrovitski V V, De Raedt H A, Katsnelson M I, Harmon B N 2004 Phys. Rev. B 70 014435
[17] Liang H Q, Liu J M 2009 Acta Phys. Sin. 58 3692(in Chinese) [梁华秋、 刘金明 2009 58 3692]
[18] Wang F Q, Zhang Z M, Liang R S 2009 Chin. Phys. B 18 597
[19] Quan H T, Song Z, Liu X F, Zanardi P, Sun C P 2006 Phys. Rev. Lett. 96 140604
[20] Cucchietti F M, Sonia F V, Juan P P 2007 Phys. Rev A 75 032337
[21] Sun Z, Wang X G, Sun C P 2007 Phys. Rev. A 75 062312
[22] Xiang G Y, Li J, Yu B, Guo G C 2005 Phys. Rev. A 72 012315
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