Single-qubit Quantum Gates using Magneto-optic Kerr Effect

Authors: Pradeep Kumar K

Abstract:

We propose the use of magneto-optic Kerr effect (MOKE) to realize single-qubit quantum gates. We consider longitudinal and polar MOKE in reflection geometry in which the magnetic field is parallel to both the plane of incidence and surface of the film. MOKE couples incident TE and TM polarized photons and the Hamiltonian that represents this interaction is isomorphic to that of a canonical two-level quantum system. By varying the phase and amplitude of the magnetic field, we can realize Hadamard, NOT, and arbitrary phase-shift single-qubit quantum gates. The principal advantage is operation with magnetically non-transparent materials.

Keywords: Quantum computing, qubit, magneto-optic kerr effect (MOKE), magneto-optical interactions, continuous variables.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1332914

References:

[1] P. Shor, "Algorithms for quantum computation: discrete logarithms and factoring," in Foundations of Computer Science, 1994 Proceedings., 35th Annual Symposium on, 1994, pp. 124 -134.
[2] D. P. DiVincenzo, "Two-bit gates are universal for quantum computation," Phys. Rev. A, vol. 51, no. 2, pp. 1015-1022, Feb 1995.
[3] L. Seth, "Almost any quantum logic gate is universal," Phys. Rev. Lett., vol. 75, no. 2, pp. 346-349, Jul 1995.
[4] P. Kaye, R. Laflamme, and M. Mosca, An introduction to quantum computing. Oxford University Press, 2007.
[5] J. L. O-Brien, A. Furusawa, and J. Vuckovic, "Photonic quantum technologies," Nature, pp. 687-695, 2009.
[6] E. Knill, R. Laflamme, and G. J. Milburn, "A scheme for efficient quantum computation with linear optics," Nature, vol. 409, p. 46, 2001.
[7] P. Kok et al., "Linear optical quantum computing with photonic qubits," Reviews of Modern Physics, vol. 79, no. 135, 2007.
[8] N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, "Quantum cryptography," Rev. Mod. Phys., vol. 74, no. 1, pp. 145-195, 2002.
[9] J. M. Merolla, Y. Mazurenko, J. P. Goedgebuer, and W. T. Rhodes, "Phase modulation transmission system for quantum cryptography," Optics Letters, vol. 24, no. 2, pp. 104-106, 1999.
[10] P. Kumar and A. Prabhakar, "Evolution of quantum states of light in an electro-optic phase modulator," IEEE Journ. of Quant. Electron., vol. 45, no. 2, 2009.
[11] C. C. Robinson, "Longitudinal magneto-Optic scattering from thin solid films," J. Opt. Soc. Am, vol. 53, p. 681, 1963.
[12] R. P. Hunt, "Magneto-Optic scattering from thin solid films," J. of Appl. Phys., vol. 38, no. 4, pp. 1652-1671, 1967.
[13] M. Gaugitsch and H. Hauser, "Magneto-Optical light modulator-Part II," J. of Lightwave Tech., vol. 17, no. 12, 1999.
[14] L. D. Landau and E. M. Lifshitz, Electrodynamics of continuous media, 2nd ed. Butterworth-Heinemann, 1984.