Abstract
We propose a one-step scheme for implementing entanglement generation and the quantum state transfer between two atomic qubits trapped in two different cavities that are not directly coupled to each other. The process is realized through engineering an effective asymmetric X–Y interaction for the two atoms involved in the gate operation and an auxiliary atom trapped in an intermediate cavity, induced by virtually manipulating the atomic excited states and photons. We study the validity of the scheme as well as the influences of the dissipation by numerical simulation and demonstrate that it is robust against decoherence.
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References
Shor, P. W.: Algorithms for quantum computation. In: Goldwasser, S. (ed.) Proceedings of the 35th Annual Symposium on Foundations of Computer Science, p. 124. IEEE Press, Los Alamos, CA (1994)
Grover, L.K.: Quantum mechanics helps in searching for a needle in a haystack. Phys. Rev. Lett. 79, 325 (1997)
Feynman, R.P.: Simulating physics with computers. Int. J. Theor. Phys. 21, 467–488 (1982)
Cirac, J.I., Ekert, A.K., Huelga, S.F., Macchiavello, C.: Distributed quantum computation over noisy channels. Phys. Rev. A 59, 4249 (1999)
Paternostro, M., Kim, M.S., Palma, G.M.: Non-local quantum gates: a cavity-quantum-electrodynamics implementation. J. Mod. Opt. 50, 2075–2094 (2003)
DiVincenzo, D.P.: Two-bit gates are universal for quantum computation. Phys. Rev. A 51, 1015 (1995)
Raimond, J.M., Haroche, S.: Exploring the Quantum. Oxford Univ. Press, Oxford (2006)
Knill, E., Laflamme, R., Milburn, G.J.: A scheme for efficient quantum computation with linear optics. Nature 409, 46–52 (2001)
Serafini, A., Mancini, S., Bose, S.: Distributed quantum computation via optical fibers. Phys. Rev. Lett. 96, 010503 (2006)
Yin, Z.Q., Li, F.L.: Multiatom and resonant interaction scheme for quantum state transfer and logical gates between two remote cavities via an optical fiber. Phys. Rev. A 75, 012324 (2007)
Peng, P., Li, F.L.: Entangling two atoms in spatially separated cavities through both photon emission and absorption processes. Phys. Rev. A 75, 062320 (2007)
Ye, S.Y., Zhong, Z.R., Zheng, S.B.: Deterministic generation of three-dimensional entanglement for two atoms separately trapped in two optical cavities. Phys. Rev. A 77, 014303 (2008)
Zhou, Y.L., Wang, Y.M., Liang, L.M., Li, C.Z.: Quantum state transfer between distant nodes of a quantum network via adiabatic passage. Phys. Rev. A 79, 044304 (2009)
Yang, Z.B., Wu, H.Z., Su, W.J., Zheng, S.B.: Quantum phase gates for two atoms trapped in separate cavities within the null-and single-excitation subspaces. Phys. Rev. A 80, 012305 (2009)
Wang, X., Schirmer, S.G.: Entanglement generation between distant atoms by Lyapunov control. Phys. Rev. A 80, 042305 (2009)
Yang, Z.B., Ye, S.Y., Serafini, A., Zheng, S.B.: Distributed coherent manipulation of qutrits by virtual excitation processes. Phys. B At. Mol. Opt. Phys. 43, 085506 (2009)
Wang, P., Chen, M.F.: Preparation of four-dimensional entangled states in separate cavities via adiabatic passage. Phys. Scr. 86, 065002 (2012)
Hao, S.Y., Xia, Y., Song, J., An, N.B.: One-step generation of multiatom Greenberger–Horne–Zeilinger states in separate cavities via adiabatic passage. J. Opt. Soc. Am. B 30, 468–474 (2013)
Bevilacqua, G., Renzoni, F.: Quantum-state transfer between tripod atoms over a dark fiber. Phys. Rev. A 88, 033817 (2013)
Yang, Z.B., Wu, H.Z., Xia, Y., Zheng, S.B.: Effective dynamics for two-atom entanglement and quantum information processing by coupled cavity QED systems. Eur. Phys. J. D 61, 737–744 (2011)
Shi, Z.C., Xia, Y., Song, J., Song, H.S.: Atomic quantum state transferring and swapping via quantum Zeno dynamics. J. Opt. Soc. Am. B 28, 2909–2914 (2011)
Lu, M., Xia, Y., Song, J., An, N.B.: Generation of N-atom W-class states in spatially separated cavities. J. Opt. Soc. Am. B 30, 2142 (2013)
Chen, Y.H., Xia, Y., Chen, Q.Q., Song, J.: Fast and noise-resistant implementation of quantum phase gates and creation of quantum entangled states. Phys. Rev. A 91, 012325 (2015)
Chen, Y.H., Xia, Y., Chen, Q.Q., Song, J.: Shortcuts to adiabatic passage for multiparticles in distant cavities: applications to fast and noise-resistant quantum population transfer, entangled states preparation and transition. Laser Phys. Lett. 11, 115201 (2014)
Zheng, S.B.: Quantum logic gates for two atoms with a single resonant interaction. Phys. Rev. A 71, 062335 (2005)
Zheng, S.B.: Implementation of Toffoli gates with a single asymmetric Heisenberg X Y interaction. Phys. Rev. A 87, 042318 (2013)
Chen, M.F., Shen, L.T., Yang, Z.B.: Implementation of distributed Toffoli gates in separate cavities through virtual excitation processes. J. Opt. Soc. Am. B 31, 400–404 (2014)
Olaya-Castro, A., Johnson, N.F., Quiroga, L.: Robust one-step catalytic machine for high fidelity anticloning and W-state generation in a multiqubit system. Phys. Rev. Lett. 94, 110502 (2005)
Lu, D.M., Zheng, S.B.: One-step generation of maximally entangled states for three atoms trapped in separated cavities. Chin. J. Phys. 50, 795–803 (2012)
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Zheng, B., Shen, LT. & Chen, MF. Entanglement and quantum state transfer between two atoms trapped in two indirectly coupled cavities. Quantum Inf Process 15, 2181–2191 (2016). https://doi.org/10.1007/s11128-016-1262-7
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DOI: https://doi.org/10.1007/s11128-016-1262-7