Document Type : Original Article
Authors
Department of physics, Azad university, Northern Branch, Tehran, Iran
Abstract
Similar to the role of carriers in classical communications as a medium for transmitting messages, entangled states can also be considered a medium that plays the role of the information carrier. In this way, we can define protocols with entangled carriers for quantum communications which can also be used for quantum secret-sharing. The outspread of quantum secret-sharing for many users is the substructure of a quantum internet, so it is essential to study such protocols in terms of their practical implementations. Since protocols are performed in noisy environments without interruption, it is necessary to investigate the performance of protocols under continuous noise. This paper studies the stability of these protocols against dephasing and depolarizing noise. It shows that despite the constant effect of noise, the carrier remains in two types of spaces with the entangled basis, which forms complete spaces for the carrier’s qubits. These spaces are compatible with the protocol performance; therefore, the protocol is stable under the noise effect.
Keywords
- C Bennett, et all., Rev. Lett. 70 (1993) 1895.
- C Bennett and S Wiesner, Rev. Lett. 69, 20 (1992) 2881.
- R Raussendorf and H Briegel, Rev. Lett. 86, 22 (2001) 5188.
- A Broadbent, J Fitzsimons, and E Kashefi, 50th Annual IEEE Symposium on Foundations of Computer Science, Atlanta GA USA (2009)
- M Hillery, V Bužek, and A Berthiaume, Rev. A 59, 3 (1999) 1829.
- A Karlsson, M Koashi, and N Imoto, Rev. A 59, 1 (1999) 162.
- Li Xiao, et all., Rev. A 69, 5 (2004) 052307.
- Z Zhang and Z Man, Rev. A 72, 2 (2005) 022303.
- Y Wu, et all., Rev. A 93, 2 (2016) 022325.
- C Bennett and G Brassard, Proceedings of IEEE International Conference on Computers, Systems and Signal Processing, New York (1984)
- A Ekert, Rev. Lett. 67 (1991) 661.
- H Bechmann Pasquinucci, and N Gisin, Rev. A 59, 6 (1999) 4238.
- D Bruss and C Macchiavello, Rev. Lett. 88, 12 (2002) 127901.
- C Schmid, et all., Rev. Lett. 95, 23 (2005) 230505.
- Z Zhang, Y Li, and Z Man, Rev. A 71, 4 (2005) 044301.
- A Tavakoli, et all., Rev. A. 92, 3 (2015) 030302.
- V Karimipour and M Asoudeh, Rev. 92, 3 (2015) 030301
- Y Zhang, C Li, and G Guo, Rev. A 64, 2 (2001) 024302.
- S Bagherinezhad and V Karimipour, Rev. A 67, 4 (2003) 044302.
- Sh Emamipanah, M Asoudeh, and V Karimipour, Quantum information processing 19 (2020)