Abstract
We study quantum teleportation between two different types of optical qubits using hybrid entanglement as a quantum channel under decoherence effects. One type of qubit employs the vacuum and single-photon states for the basis, called a single-rail single-photon qubit, and the other utilizes coherent states of opposite phases. We find that teleportation from a single-rail single-photon qubit to a coherent-state qubit is better than the opposite direction in terms of fidelity and success probability. We compare our results with those using a different type of hybrid entanglement between a polarized single-photon qubit and a coherent state.
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.References
Bouwmeester, D., Pan, J., Mattle, K., Weinfurter, H., Zeilinger, A.: Experimental quantum teleportation. Nature (London) 390, 575–579 (1997)
Knill, E., Laflamme, R., Milburn, G.J.: A scheme for efficient quantum computation with linear optics. Nature (London) 409, 46–52 (2001)
Lee, H.-W., Kim, J.: Quantum teleportation and Bell’s inequality using single-particle entanglement. Phys. Rev. A 63, 012305 (2000)
Lund, A.P., Ralph, T.C.: Nondeterministic gates for photonic single-rail quantum logic. Phys. Rev. A 66, 032307 (2002)
Cochrane, P.T., Milburn, G.J., Munro, W.J.: Macroscopically distinct quantum-superposition states as a bosonic code for amplitude damping. Phys. Rev. A 59, 2631–2634 (1998)
Van Enk, S.J., Hirota, O.: Entangled coherent states: teleportation and decoherence. Phys. Rev. A 63, 022313 (2001)
Jeong, H., Kim, M.S., Lee, J.: Quantum-information processing for a coherent superposition state via a mixed entangled coherent channel. Phys. Rev. A 64, 052308 (2001)
Jeong, H., Kim, M.S.: Efficient quantum computation using coherent states. Phys. Rev. A 65, 042305 (2002)
Ralph, T.C., Gilchrist, A., Milburn, G.J., Munro, W.J., Glancy, S.: Quantum computation with optical coherent states. Phys. Rev. A 68, 042319 (2003)
Lund, A.P., Ralph, T.C., Haselgrove, H.L.: Fault-tolerant linear optical quantum computing with small-amplitude coherent states. Phys. Rev. Lett. 100, 030503 (2008)
Kok, P., Munro, W.J., Nemoto, K., Ralph, T.C., Dowling, J.P., Milburn, G.J.: Linear optical quantum computing with photonic qubits. Rev. Mod. Phys. 79, 135–174 (2007)
Ralph, T.C., Pryde, G.J.: Optical quantum computation. Prog. Optics. 54, 209–269 (2009)
Park, K., Jeong, H.: Entangled coherent states versus entangled photon pairs for practical quantum-information processing. Phys. Rev. A 82, 062325 (2010)
Kim, H., Park, J., Jeong, H.: Transfer of different types of optical qubits over a lossy environment. Phys. Rev. A 89, 042303 (2014)
Jeong, H., Kim, M.S.: Purification of entangled coherent states. Quantum Inf. Comput. 2, 208–221 (2002)
Kwon, H., Jeong, H.: Generation of hybrid entanglement between a single-photon polarization qubit and a coherent state. Phys. Rev. A 91, 012340 (2015)
Lee, S.-W., Jeong, H.: Near-deterministic quantum teleportation and resource-efficient quantum computation using linear optics and hybrid qubits. Phys. Rev. A 87, 022326 (2002)
Rigas, J., Gühne, O., Lütkenhaus, N.: Entanglement verification for quantum-key-distribution systems with an underlying bipartite qubit-mode structure. Phys. Rev. A 73, 012341 (2006)
Kwon, H., Jeong, H.: Violation of the Bell–Clauser–Horne–Shimony–Holt inequality using imperfect photodetectors with optical hybrid states. Phys. Rev. A 88, 052127 (2013)
van Loock, P.: Optical hybrid approaches to quantum information. Laser Photon. Rev. 5, 167–200 (2011)
Furusawa, A., van Loock, P.: Quantum Teleportation and Entanglement: A Hybrid Approach to Optical Quantum Information Processing. Wiley, New York (2011)
Park, K., Lee, S.-W., Jeong, H.: Quantum teleportation between particlelike and fieldlike qubits using hybrid entanglement under decoherence effects. Phys. Rev. A 86, 062301 (2012)
Sheng, Y.-B., Zhou, L., Long, G.-L.: Hybrid entanglement purification for quantum repeaters. Phys. Rev. A 88, 022302 (2013)
Andersen, U.L., Neergaard-Nielsen, J.S., van Loock, P., Furusawa, A.: Hybrid quantum information processing. http://arxiv.org/abs/1409.3719
Takeda, S., Fuwa, M., Van Loock, P., Furusawa, A.: Entanglement swapping between discrete and continuous variables. Phys. Rev. Lett. 114, 100501 (2014)
Gerry, C.C.: Generation of optical macroscopic quantum superposition states via state reduction with a Mach–Zehnder interferometer containing a Kerr medium. Phys. Rev. A 59, 4095–4098 (1999)
Nemoto, K., Munro, W.J.: Nearly deterministic linear optical controlled-NOT gate. Phys. Rev. Lett. 93, 250502 (2004)
Jeong, H.: Using weak nonlinearity under decoherence for macroscopic entanglement generation and quantum computation. Phys. Rev. A 72, 034305 (2005)
Shapiro, J.H.: Single-photon Kerr nonlinearities do not help quantum computation. Phys. Rev. A 73, 062305 (2006)
Shapiro, J., Razavi, M.: Continuous-time cross-phase modulation and quantum computation. New J. Phys. 9, 16 (2007)
Gea-Banacloche, J.: Impossibility of large phase shifts via the giant Kerr effect with single-photon wave packets. Phys. Rev. A 81, 043823 (2010)
Ourjoumtsev, A., Jeong, H., Tualle-Brouri, R., Grangier, Ph: Generation of optical ‘Schrödinger cats’ from photon number states. Nature 448, 784–786 (2007)
Jeong, H., Zavatta, A., Kang, M., Lee, S.W., Costanzo, L.S., Grandi, S., Ralph, T.C., Bellini, M.: Generation of hybrid entanglement of light. Nat. Photonics 8, 564–569 (2014)
Louisell, W.H.: Quantum Statistical Properties of Radiation. Wiley, New York (1973)
Phoenix, S.J.D.: Wave-packet evolution in the damped oscillator. Phys. Rev. A 41, 5132–5138 (1990)
Calsamiglia, J., Lütkenhaus, N.: Maximum efficiency of a linear-optical Bell-state analyzer. Appl. Phys. B 72, 6771 (2001)
Mattle, K., Weinfurter, H., Kwiat, P.G., Zeilinger, A.: Dense coding in experimental quantum communication. Phys. Rev. Lett. 76, 4656–4659 (1996)
Knill, E.: Quantum computing with realistically noisy devices. Nature 434, 39–44 (2005)
Jeong, H., Kang, M., Kwon, H.: Characterizations and quantifications of macroscopic quantumness and its implementations using optical fields. Opt. Commun. 337, 12–21 (2015)
Lütkenhaus, N., Calsamiglia, J., Suominen, K.-A.: Bell measurements for teleportation. Phys. Rev. A 59, 3295–3300 (1999)
Acknowledgments
This work was supported by the National Research Foundation of Korea (NRF) through a Grant funded by the Korean government (MSIP) (Grant No. 2010-0018295).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Jeong, H., Bae, S. & Choi, S. Quantum teleportation between a single-rail single-photon qubit and a coherent-state qubit using hybrid entanglement under decoherence effects. Quantum Inf Process 15, 913–927 (2016). https://doi.org/10.1007/s11128-015-1191-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11128-015-1191-x