Abstract
We propose two schemes to directly implement the iSWAP and Fredkin gates by passing an atom across a multi-mode cavity QED. We have combined three types of qubits: the flying photonic qubits, the atomic qubits and the dual-rail-encoded qubits. First, we have studied the interaction of multi-level atom with multi-mode fields in a cavity by using the shore’s method. Next we have calculated the probabilities of the states of the interest as well as the fidelity of theses two schemes. An appropriate interaction times, allow us to accomplish these two gates.
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References
Alqahtani, M., Everitt, M., Garraway, B.: Cavity QED photons for quantum information processing. arXiv:hep-th/1407.0654. arXiv:abs/1407.0654v1 (2014)
Alqahtani, M.: Multi-photon processes in cavity qed. University of Sussex. http://sro.sussex.ac.uk/id/eprint/49632 (2014)
Barenco, A., Bennett, C., Cleve, R., DiVincenzo, D., Margolus, N., Shor, P., Sleator, T., Smolin, J., Weinfurter, H.: Elementary gates for quantum computation. Phys. Rev. A 52(5), 3457–3467 (1995)
Barnett, S.: Quantum Information. Oxford University Press, Oxford (2009)
Biswas, A., Agarwal, G.: Quantum logic gates using stark-shifted raman transitions in a cavity. Phys. Rev. A 69, 062306 (2004)
Chang, J., Zubairy, M.: Three-qubit phase gate based on cavity quantum electrodynamics. Phys. Rev. A 77(1), 012329 (2008)
Chuang, I., Yamamoto, Y.: Simple quantum computer. Phys. Rev. A 52, 3489 (1995)
Cook, R., Shore, B.: Coherent dynamics of n-level atoms and molecules. III. An analytically soluble periodic case. Phys. Rev. A 20, 539 (1979)
DiVincenzo, D.: Two-bit gates are universal for quantum computation. Phys. Rev. A 51(2), 1015–1022 (1995)
Duan, L., Kimble, H.: Scalable photonic quantum computation through cavity-assisted interactions. Phys. Rev. Lett. 92, 127902 (2004)
Everitt, M., Garraway, B.: Multimode quantum optical logic. In: Conference on Coherence and Quantum Optics, OSA Technical Digest (CD) (Optical Society of America), p. 456 (2007)
Everitt, M., Garraway, B.: Multiphoton resonances for all-optical quantum logic with multiple cavities. Phys. Rev. A 90, 012335 (2014)
Fredkin, E., Toffoli, T.: Conservative logic. Int. J. Theor. Phys. 21(3/4), 219–253 (1982)
Gotzinger, S., Menezes, LdS, Mazzei, A., Kuhn, S., Sandoghdar, V., Benson, O.: Controlled photon transfer between two individual nanoemitters via shared high-q modes of a microsphere resonator. Nano Lett. 6(6), 11511154 (2006)
Jaynes, E., Cummings, F.: Comparison of quantum and semiclassical radiation theories with application to the beam maser. Proc. IEEE 51, 89 (1963)
Joshi, A., Xiao, M.: Three-qubit quantum-gate operation in a cavity qed system. Phys. Rev. A 74, 052318 (2006)
Kempe, J., Bacon, D., DiVincenzo, D., Whaley, K.: Encoded universality from a single physical interaction. Quant. Inf. Comput. 1(4), 33–55 (2001)
Knill, E., Laflamme, R., Milburn, G.: A scheme for efficient quantum computation with linear optics. Nature 409, 46 (2001)
Kok, P., Munro, W., Nemoto, K., Ralph, T., Dowling, J., Milburn, G.: Publisher’s note: linear optical quantum computing with photonic qubits. Rev. Mod. Phys. 79, 135 (2007)
Kuhr, S., Gleyzes, S., Guerlin, C., Bernu, J., Ho, U., Del eglise, S., Osnaghi, S., Brune, M., Raimond, J., Haroche, S., Jacques, E., Bosland, P., Visentin, B.: Ultrahigh finesse fabry-prot superconducting resonator. Appl. Phys. Lett. 90, 164101 (2007)
Lee, H., Chen, T., Li, J., Yang, K., Jeon, S., Painter, O., Vahala, K.: Chemically etched ultrahigh-q wedge-resonator on a silicon chip. Nat. Photon. 6, 369373 (2012)
Lin, X., Zhou, Z., Ye, M., Xiao, Y., Guo, G.: One-step implementation of a multiqubit controlled-phase-flip gate. Phys. Rev. A 73, 012323 (2006)
Nielsen, M., Chuang, I.: Quantum Computation and Quantum Information, 1st edn. Cambridge University Press, Cambridge (2000)
O’Brien, J.: Optical quantum computing. Science 318, 1567 (2007)
Pellizzari, T., Gardiner, S., Cirac, J., Zoller, P.: Decoherence, continuous observation, and quantum computing: a cavity qed model. Phys. Rev. Lett. 75, 3788 (1995)
Raimond, J., Brune, M., Haroche, S.: Manipulating quantum entanglement with atoms and photons in a cavity. Rev. Mod. Phys. 73, 565 (2001)
Rauschenbeutel, A., Nogues, G., Osnaghi, S., Bertet, P., Brune, M., Raimond, J., Haroche, S.: Coherent operation of a tunable quantum phase gate in cavity qed. Phys. Rev. Lett. 83, 5166 (1999)
Raussendorf, R., Briegel, H.J.: A one-way quantum computer. Phys. Rev. Lett. 86(22), 5188–5191 (2001)
Schuch, N., Siewert, J.: Natural two-qubit gate for quantum computation using the XY interaction. Phys. Rev. A 67, 032301 (2003)
Shore, B.: Two-level behavior of coherent excitation of multilevel systems. Phys. Rev. A 24, 1413 (1981)
Tanamoto, T., Liu, Y., Hu, X., Nori, F.: Efficient quantum circuits for one-way quantum computing. Phys. Rev. Lett. 102(10), 100501 (2009)
Walther, P., Resch, K., Rudolph, T., Schenck, E., Weinfurter, H., Vedral, V., Aspelmeyer, M., Zeilinger, A.: Experimental one-way quantum computing. Nature 434, 169–176 (2005)
Walther, H., Varcoe, B., Englert, B., Becker, T.: Cavity quantum electrodynamics. Rep. Prog. Phys. 69(5), 1325 (2006)
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Chouikh, A., Said, T., Essammouni, K. et al. Implementation of universal two- and three-qubit quantum gates in a cavity QED. Opt Quant Electron 48, 463 (2016). https://doi.org/10.1007/s11082-016-0717-5
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DOI: https://doi.org/10.1007/s11082-016-0717-5