Noise Effect on Fidelity of Quantum Teleportation Through Entangled Coherent Channel

Document Type : Full length research Paper

Author

Department of Physics, Sahand University of Technology, Tabriz, Iran

Abstract

Quantum teleportation is the transmission and reconstruction of the state of a quantum system over arbitrary distances. Since the possibility of transferring quantum information is one of the foundations of the emerging new fields of science such as quantum communication and quantum computation, in this article quantum teleportation of a qubit via the entangled channel will be investigated. To this aim, we will use two-mode entangled coherent channels generated by beam splitter and Kerr medium. It will be shown that the amount of entanglement and fidelity of quantum teleportation depend on the intensity of coherent state so when the intensity of coherent state increases sharply (p→0), the entanglement and the average fidelity become maximum, F_max=1.
On the other hand, considering the fact that real physical systems are always affected by their surroundings, investigation of the effects of environment, as a source of quantum dissipation on entanglement and fidelity will be very important. In this article, the effects of amplitude damping on average fidelity of quantum teleportation will be analyzed. The results show that the average fidelity is decreased by increasing amplitude damping. Moreover, the loss of fidelity of maximally entangled channels is more than that of non-maximally entangled channels.

Keywords


 
[1] A. Einstein, B. Podolski, N. Rosen, Can quantum mechanical description of physical reality be considered complete? Physical Review 47 (1935) 777-780.
 
[2] W.K. Wootters,Entanglement Formation of an Arbitrary State of Two Qubits, Physical Review Letter 80 (1998) 22-45.
 
[3] W.K. Wootters, Entanglement of formation and concurrence, Quantum Information and Computation 1 (2001) 27-44.
 
[4] B.C. Sanders, Entangled coherent states, Physical Review A45 (1992) 6811.
 
[5] X. Wang, B.C. Sanders Multipartite entangled coherent states, Physical Review A 65 (2001) 012303.
 
[6] X. Wang, Bipartite entangled non-orthogonal states, Journal of Physics A: Mathematical and General 35 (2002) 165-173.
 
[7] S.J. van Enk, O. Hirota; Entangled coherent states: Teleportation and decoherence, Physical Review A64 (2001) 022313.
 
[8] G. Najarbashi, S. Mirzaei, Entanglement of Multi-qudit States Constructed by Linearly Independent Coherent States: Balanced Case, International Journal of Theoretical Physics 55 (2016) 1336–1353.
 
[9] E. Schrödinger, Der stetige Übergang von der Mikro- zur Makromechanik, Natur wissen schaften14 (1926) 664–666.
 
[10] C.H. Bennett, S.J. Wiesner, Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states, Physical Review Letter 69 (1992) 281.
 
[11] C.H. Bennett, Quantum information and computation, Physics Today 48 (1995)24–30.
 
[12] C.H. Bennett, G. Brassard, C. Crepeau, R. Jozsa, A. Peres, W.K. Wootters, Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels, Physical Review Letter 70 (1993) 1895–1899.
 
[13] G. Najarbashi, S. Mirzaei, Noise Effects on Entangled Coherent State Generated via Atom-Field Interaction and Beam Splitter, International Journal of Theoretical Physics 55 (2016) 2311–2323.
 
[14] S. Oh, S. Lee, H. Lee, Fidelity of quantum teleportation through noisy channels, Physical Review A 61 (2002) 022316.
 
[15] X. Hu, Y. Gu, Q. Gong, G. Guo, Noise effect on fidelity of two-qubit teleportation,Physical Review A 81 (2010) 054302.  

 

[16] X. Hao, R. Zhang, S.Q. Zhu, Average fidelity of teleportation in quantum noise channel, Communications in Theoretical Physics 45 (2006) 802-86.