High spin paramagnetic ions as qubits and qutrits without magnetic fields
Paramagnetic ions having two electrons and spin S = 1 at zero magnetic field are proposed for new physical implementations of quantum computing elementary operations by pulse manipulations with electron spin. For these purposes new type of microwave pulses with variable phases and different polarizations are shown can be used. Such pulses are able to induce different transitions between ion spin states. Some of those transitions are described by operators similar to quantum computing operators. To describe the effects of such pulses on high spin ions a new way to present exponential operators as polynomials of Pauli matrices is proposed.
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Keywords
парамагнитные ионы, квантовые вычисления, кубит, paramagnetic ions, quantum computing, qubitAuthors
| Name | Organization | |
| Arifullin M.R. | Orenburg University | arifullinm@mail.ru |
| Berdinskiy V.L. | Orenburg University | vberdinskiy@yandex.ru |
References
Nielsen M.A. and Chuang I.L. Quantum Computation and Quantum Information. - Maidenhead: Cambridge University Press, 2000. - P. 700.
Cirac I.J. and Zoller P. // Phys. Rev. Lett. - 1995. - V. 74. - P. 4091.
Gershenfeld N.A. and Chuang I.L. // Science. - 1997. - V. 275. - P. 350.
Loss D. and DiVincenzo D.P. // Phys. Rev. A. - 1998. - V. 57. - P. 120.
Davidovich L., Brune M., Raimond J.M., and Haroche S. // Phys. Rev. A. - 1987. - V. 36. - P. 3771-3787.
Vion D. et al. // Science. - 2002. - V. 296. - P. 886-889.
Knill E., Laflamme R., and Milburn G. // Nature. - 2001. - V. 409. - P. 46.
Lloyd S. // Science. - 1993. - V. 261. - P. 1569.
Mooij J.E., Orlando T.P., Levitov L.Б et al. // Science. - 1999. - V. 285. - P. 1036-1039.
Imamoglu A., Awschalom D.D., Burkard G., et al. // Phys. Rev. Lett. - 1999. - V. 83. - P. 4204.
Альтшулер С.А., Козырев Б.M. Электронный парамагнитный резонанс соединений элементов промежуточных групп. - 2-е изд. - M., 1972.
Абрагам А. Электронный парамагнитный резонанс переходных ионов: пер. с англ. Ч. 1-2. - M., 1972-1973.
Siegman A.E. Microwave Solid-State Masers. - McGraw-Hill, 1964.
Harwey A.F. Microwave Engineering. - London; New York: Academic Press, 1963.
Арифуллин М.Р., Бердинский В.Л. // ФТТ. - 2020. - № 3. - С. 390.
