Abstract
A scheme is proposed for involving programmable quantum logic gates via teleportation, which is a unique technique in quantum mechanics. In our scheme, considering the inevitable decoherence caused by noisy environment, the quantum states are not maximally entangled. We show the implementation of single qubit quantum gates and controlled-NOT (CNOT) gate, which are universal quantum gates. Hence, any quantum gate can be implemented by using teleportation with non-maximally entangled states. Furthermore, two schemes in differet connections of universal gates are proposed and compared, and our results show the parallel connection outperforms the cascade connection.
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References
Shor P W, Algorithm for Quantum Computation: Discrete Logarithms and Factoring, 35 th Annual Symposium on Foundations of Computer Science, 124 (1994).
Lu C Y, Browne D E, Yang T and Pan J W, Phys. Rev. Lett. 99, 250504 (2007).
Grover L K, Phys. Rev. Lett. 79, 325 (1997).
Younes A, Rowe J and Miller J, Physica D 237, 1074 (2008).
Nielson M A and Chuang I L, Phys. Rev. Lett. 79, 321 (1997).
Hanneke D, Home J P, Jost J D, Amini J M, Leibfried D and Wineland D J, Nature Physics 6, 13 (2010).
Hillery M, Ziman M and Bu⊙ek V, Phys. Rev. A 73, 022345 (2006).
Mièuda M, Je⊙ek M, Dušek M and Fiurášek J, Phys. Rev. A 78, 062311 (2008).
Kubota S and Watanabe M, Applied Optics 48, 302 (2009).
Knill E, Leibfried D, Reichle R, Britton J, Blackestad R B, Jost J D, Langer C, Ozeri R, Seidelin S and Wineland D J, Phys. Rev. A 77, 012307 (2008).
Ladd T D, Jelezko F, Laflamme R, Nakamura Y, Monroe C and O’Brien J L, Nature 464, 45 (2010).
Gottesman D and Chuang I L, Nature 402, 390 (1999).
Slodièka L, Fiurášek J and Je⊙ek M, Phys. Rev. A 79, 050304 (2009).
Goebel A M, Wagenknecht C, Zhang Q, Chen Y U and Pan J W, Teleportation-Based Controlled-NOT Gate for Fault-Tolerant Quantum Computation, e-print arXiv: 0809, 3583 (2008).
Barenco A, Bennett C H, Cleve R, DiVincenzo D P, Margolus N, Shor P, Sleator T, Smolin J A and Weinfurter H, Phys. Rev. A 52, 3457 (1995).
Ziman M and Bu⊙ek V, Acta Physica Hungarica 26, 277 (2006).
Chattopadhyay T and Bhattacharyya P, Optoelectronics Letters 7, 186 (2011).
Lv S F, Montrosset I, Gioannini M, Song S and Ma J, Optoelectronics Letters 7, 122 (2011).
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This work has been supported by the National Natural Science Foundation of China (No. 60904034 and 61104002).
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Li, H., Li, Cw. & Jiang, M. Programmable quantum logic gates using teleportation with non-maximally entangled states. Optoelectron. Lett. 8, 63–66 (2012). https://doi.org/10.1007/s11801-012-1035-1
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DOI: https://doi.org/10.1007/s11801-012-1035-1