Fidelity of quantum teleportation in correlated quantum channels
Abstract
We have studied the standard quantum teleportation of an arbitrary single qubit state for the situation in which a two-qubit X-state as a resource successively passes through correlated quantum channels, including amplitude-damping, phase-damping, and depolarizing channels. Analytical expressions of full entangled fraction (which is related to fidelity of quantum teleportation) suffered from these noisy channels are presented. The results demonstrate that there is a threshold value , above which the source state even subjected to decoherence becomes useful for quantum teleportation. Besides, we also develop an effective strategy to enhance quantum teleportation fidelity under decoherence channels by means of filtering operation. The underlying physical mechanism of the enhancement of fidelity is also analyzed.
References
[1]
Bennett CH, Brassard G, Crepeau C, Jozsa R, Peres A, and Wotters WKTeleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channelPhys. Rev. Lett.19937018951993PhRvL.70.1895B1208247
[2]
Jung E, Hwang MR, Park DK, Son JW, and Tamaryan SMixed-state entanglement and quantum teleportation through noisy channelsJ. Phys. A: Math. Theor.2008413853022438484
[3]
Karlsson A and Bourennane MQuantum teleportation using three-particle entanglementPhys. Rev. A19985843941998PhRvA.58.4394K1677670
[4]
Khoury AZ and Milman PQuantum teleportation in the spin-orbit variables of photon pairsPhys. Rev. A2011830603012011PhRvA.83f0301K
[5]
Dáriano GM, Lo Presti P, and Sacchi MFBell measurements and observablesPhys. Lett. A2000272322000PhLA.272...32D1773420
[6]
Espoukeh P and Pedram PQuantum teleportation through noisy channels with multi-qubit GHZ statesQuant. Inf. Process.20141317892014QuIP...13.1789E3228539
[7]
Hu X, Gu Y, Gong Q, and Guo GNoise effect on fidelity of two-qubit teleportationPhys. Rev. A2010810543022010PhRvA.81e4302H
[8]
Bandyopadhyay S and Ghosh AOptimal fidelity for a quantum channel may be attained by nonmaximally entangled statesPhys. Rev. A2012860203042012PhRvA.86b0304B
[9]
Knoll LT, Schmiegelow CT, and Larotonda MANoisy quantum teleportation: an experimental study on the influence of local environmentsPhys. Rev. A2014900423322014PhRvA.90d2332K
[10]
Fortes R and Rigolin GProbabilistic quantum teleportation via thermal entanglementPhy. Rev. A2017960223152017PhRvA.96b2315F
[11]
Yin J et al. Quantum teleportation and entanglement distribution over 100-kilometre free-space channels Nature 2012 488 185188
[12]
Bennett CH, Brassard G, Popescu S, Schumacher B, Smolin JA, and Wootters WKPurification of noisy entanglement and faithful teleportation via noisy channelsPhys. Rev. Lett.1996767221996PhRvL.76.722B
[13]
Yeo YTeleportation via thermally entangled state of a two-qubit Heisenberg XX chainPhys. Lett. A20033092152003PhLA.309.215Y1977774
[14]
Pramanik T and Majumdar ASImproving the fidelity of teleportation through noisy channels using weak measurementPhys. Lett. A201337732092013PhLA.377.3209P3120986
[15]
Xiao X, Yao Y, Li YL, and Xie YM Enhanced quantum teleportation in the background of Schwarzschild spacetime by weak measurements Eur. Phys. J. Plus 2020 135 79
[16]
Li YL, Zu CJ, and Wei DMEnhance quantum teleportation under correlated amplitude damping decoherence by weak measurement and quantum measurement reversalQuant. Inf. Process.20191822019QuIP...18....2L3877643
[17]
Taketani BG, de Melo F, and de Matos Filho RLOptimal teleportation with a noisy sourcePhys. Rev. A2012850203012012PhRvA.85b0301T
[18]
Knoll LT, Schmiegelow ChT, and Larotonda MANoisy quantum teleportation: an experimental study on the influence of local environmentsPhys. Rev. A2014900423322014PhRvA.90d2332K
[19]
Van, H.N., Hoang, A.L.: Improving two-qubit state teleportation affected by amplitude damping noise based on choosing appropriate quantum channel, p. 07064 (2017). arXiv:1705.07064v2
[20]
Bandyopadhyay SOrigin of noisy states whose teleportation fidelity can be enhanced through dissipationPhys. Rev. A2002650223022002PhRvA.65b2302B
[21]
Fortes R and Rigolin GFighting noise with noise in realistic quantum teleportationPhys. Rev. A2015920123382015PhRvA.92a2338F
[22]
Yeo YLocal noise can enhance two-qubit teleportationPhys. Rev. A2008780223342008PhRvA.78b2334Y
[23]
Oh S, Lee S, and Lee HWFidelity of quantum teleportation through noisy channelsPhys. Rev. A2002660223162002PhRvA.66b2316O1955146
[24]
Bowen G and Bose STeleportation as a depolarizing quantum channel, relative entropy, and classical capacityPhys. Rev. Lett.2001872679012001PhRvL.87z7901B
[25]
Bennett CH, DiVincenzo DP, Smolin JA, and Wootters WKMixed-state entanglement and quantum error correctionPhys. Rev. A19965438241996PhRvA.54.3824B1418618
[26]
Horodecki M, Horodecki P, and Horodecki RGeneral teleportation channel, singlet fraction, and quasidistillationPhys. Rev. A19996018881999PhRvA.60.1888H1721040
[27]
Horodecki R, Horodecki M, and Horodecki PTeleportation, Bell’s inequalities and inseparabilityPhys. Lett. A1996222211996PhLA.222...21H1410227
[28]
Macchiavello C and Palma GMEntanglement-enhanced information transmission over a quantum channel with correlated noisePhys. Rev. A2002650503012002PhRvA.65e0301M
[29]
Yeo Y and Skeen ATime-correlated quantum amplitude-damping channelPhys. Rev. A2003670643012003PhRvA.67f4301Y
[30]
Dáriano A, Benenti G, and Falci GQuantum capacity of dephasing channels with memoryNew J. Phys.200793102007NJPh....9.310D
[31]
Macchiavello C, Palma GM, and Virmani STransition behavior in the channel capacity of two-quibit channels with memoryPhys. Rev. A2004690103032004PhRvA.69a0303M
[32]
Jahangir R, Arshed N, and Toor AHQuantum capacity of an amplitude-damping channel with memoryQuant. Inf. Process.2015147652015QuIP...14.765J3304894
[33]
Daffer S, Wodkiewicz K, and McIver JQuantum Markov channels for qubitsPhys. Rev. A2003670623122003PhRvA.67f2312D2013251
[34]
Daffer S, Wodkiewicz K, Cresser J, and McIver JDepolarizing channel as a completely positive map with memoryPhys. Rev. A2004700103042004PhRvA.70a0304D
[35]
Gisin NHidden quantum nonlocality revealed by local filtersPhys. Lett. A19962101511996PhLA.210.151G1371104
[36]
Sun Q, Al-Amri M, Davidovich L, and Suhail Zubairy MReversing entanglement change by a weak measurementPhys. Rev. A2010820523232010PhRvA.82e2323S
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© Springer Science+Business Media, LLC, part of Springer Nature 2020.
Publisher
Kluwer Academic Publishers
United States
Publication History
Published: 08 May 2020
Accepted: 08 April 2020
Received: 29 October 2019
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- Research-article
Funding Sources
- National Basic Research Program of China (973 Program)
- National Natural Science Foundation of China
- National Natural Science Foundation of China
- National Natural Science Foundation of China
- National Natural Science Foundation of China
- Natural Science Foundation of Hunan Province
- Scientific Research Project of Hunan Province Department of Education
- Project of Science and Technology Plan of Changsha
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