Abstract
The two-mode symmetric oscillator is used to construct the qubit model as the superposition of the first excited degenerate level states of the oscillator. The entanglement properties of the oscillator states are studied using the known criterion of separability. Application to the quantum computing model based on light modes propagating in optical waveguides is briefly discussed.
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E. Schrödinger, Naturwissenschaften, 23, 807; 823; 844 (1935).
E. Schrödinger, Proc. Camb. Philos. Soc., 31, 555 (1935).
M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Rev. Lett., 80, 5239 (1998).
M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Lett. A, 223, 1 (1996).
A. Peres, Phys. Rev. Lett., 77, 1413 (1996).
V. I. Man’ko, G. Marmo, E. C. G. Sudarshan, and F. Zaccaria, Phys. Lett. A, 327, 353 (2004).
M. A. Andreata, A. V. Dodonov, and V. V. Dodonov, J. Russ. Laser Res., 23, 531 (2002); A. V. Dodonov, V. V. Dodonov, and S. S. Mizrahi, J. Phys. A: Math. Gen., 38, 683 (2005); M. A. Andreata and V. V. Dodonov, J. Opt. B: Quantum Semiclass. Opt., 7, S11 (2005).
R. Simon, E. C. G. Sudarshan, and N. Mukunda, Phys. Rev. A, 36, 3868 (1987).
V. V. Dodonov and V. I. Man’ko, Invariants and the Evolution of Nonstationary Quantum Systems, Proceedings of the P. N. Lebedev Physical Institute, Nauka, Moscow (1987), Vol. 183 [translated by Nova Science, New York (1989)].
J. Laurat, G. Keller, J. A. Oliveira-Huguenin, C. Fabre, T. Coudreau, A. Serafini, G. Adesso, and F. Illuminati, J. Opt. B: Quantum Semiclass. Opt., 7, S577 (2005).
B. Zeng, D. L. Zhou, P. Zhang, Z. Xu, and L. You, Phys. Rev. A, 68, 042316 (2003).
J. K. Stockton, J. M. Geremia, A. C. Doherty, and H. Mabuchi, “Characterizing the entanglement of symmetirc many-particle spin-1/2 systems,” ArXiv:quant-ph/021010117 (2002).
S. L. Braunstein and P. van Loock, “Quantum information with continuous variables,” ArXiv:quant-ph/0410100 (2004).
S. Mancini, V. I. Man’ko, E. V. Shchukin, and P. Tombesi, J. Opt. B: Quantum Semiclass. Opt., 5, S333 (2003).
C. H. Bennett, G. Brassard, C. Cre’peau, R. Jorza, A. Peres, and W. K. Wootters, Phys. Rev. Lett., 70, 1895 (1993).
A. C. Doherty, P. A. Parrilo, and F. M. Spedalieri, Phys. Rev. A, 69, 022308 (2004).
L. D. Landau and E. M. Lifshitz, Quantum Mechanics. Nonrelativistic Theory, Fizmatlit, Moscow (2002).
V. V. Dodonov and V. I. Man’ko, Phys. Lett. A, 239, 335 (1997).
V. I. Man’ko and O. V. Man’ko, J. Exp. Theor. Phys., 85, 430 (1997).
C. Lupo, V. I. Man’ko, G. Marmo, and E. C. G. Sudarshan, “Partial scaling transform of multibit states as a criterion of separability,” ArXiv:quant-ph/0509006, v1 (2005).
O. V. Man’ko, V. I. Man’ko, G. Marmo, Anil Shanji, E. C. G. Sudarshan, and F. Zaccaria, Phys. Lett. A, 339, 194 (2005).
E. C. G. Sudarshan, P. M. Mathews, and J. Rau, Phys. Rev. A, 121, 920 (1961).
O. V. Man’ko, V. I. Manko, G. Marmo, Anil Shanji, E. C. G. Sudarshan, and F. Zaccaria, “Does the uncertainty relation determine the quantum state?” ArXiv:quant-ph/0604044, v1 (2006).
M. A. Man’ko, V. I. Man’ko, and R. Viela Mendes, “Quantum computation by quantum-like systems, ” ArXiv:quant-ph/0104023, v1 (2001); Phys. Lett. A, 288, 132 (2001).
M. A. Leontovich, Izv. Akad. Nauk SSSR, Ser. Fiz., 8, 16 (1944).
V. A. Fock and M. A. Leontovich, Zh. ’Eksp. Teor. Fiz., 16, 557 (1946).
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Kolesnikov, A.A., Man’ko, V.I. Oscillator model of qubits and its entanglement properties. J Russ Laser Res 27, 204–219 (2006). https://doi.org/10.1007/s10946-006-0009-9
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DOI: https://doi.org/10.1007/s10946-006-0009-9