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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Zobov V. E., Shauro V. P., Ermilov A. S.
Заглавие : Implementation of the quantum order-finding algorithm on two qudits
Место публикации : JETP Letters. - 2008. - Vol. 87, Is. 6. - P.334-339. - ISSN 0021-3640, DOI 10.1134/S0021364008060143
Примечания : Cited References: 24
Предметные рубрики: EXPERIMENTAL REALIZATION
FOURIER-TRANSFORM
COMPUTATION
SYSTEMS
GATES
Аннотация: A quantum circuit has been proposed for the algorithm for finding the permutation order on two qudits with the number of levels d(1) and d(2). The sequence of the RF pulses for implementing the algorithm on two quadrupole nuclei I-1 = 7/2 (d(1) = 8) and I-2 = 3/2 (d(2) = 4) has been calculated and the algorithm has been numerically simulated. A method for preparing pseudopure states has been presented. A comparison with the implementation of the algorithm by NMR methods on five qubits has been performed.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Zobov V. E., Ermilov A. S.
Заглавие : Implementation of a quantum adiabatic algorithm for factorization on two qudits
Место публикации : J. Exp. Theor. Phys.: MAIK Nauka-Interperiodica / Springer, 2012. - Vol. 114, Is. 6. - P.923-932. - ISSN 1063-7761, DOI 10.1134/S106377611205007X
Примечания : Cited References: 45. - This work was supported by the Russian Foundation for Basic Research, project no. 09-07-00138.
Предметные рубрики: NUCLEAR-MAGNETIC-RESONANCE
ORDER-FINDING ALGORITHM
COMPUTATION
GATES
COMPUTER
ELEMENTS
SPINS
Аннотация: Implementation of an adiabatic quantum algorithm for factorization on two qudits with the number of levels d 1 and d 2 is considered. A method is proposed for obtaining a time-dependent effective Hamiltonian by means of a sequence of rotation operators that are selective with respect to the transitions between neighboring levels of a qudit. A sequence of RF magnetic field pulses is obtained, and a factorization of the numbers 35, 21, and 15 is numerically simulated on two quadrupole nuclei with spins 3/2 (d 1 = 4) and 1 (d 2 = 3).
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Berman G. P., Campbell D. K., Tsifrinovich V. I.
Заглавие : Error correction for a spin quantum computer
Место публикации : Phys. Rev. B: AMERICAN PHYSICAL SOC, 1997. - Vol. 55, Is. 9. - P5929-5936. - ISSN 0163-1829, DOI 10.1103/PhysRevB.55.5929
Примечания : Cited References: 26
Предметные рубрики: SYSTEMS
COMPUTATION
UNIVERSAL
DYNAMICS
LOGIC
Аннотация: The problems of error correction in a spin quantum computer are discussed. For digital processing in the Ising and Heisenberg chains driven by a resonant electromagnetic field, the simple schemes are suggested which provide correction of errors caused by imperfect pi pulses, and prevent the most significant errors caused by the nonresonant action of rr pulses. The probability of error caused by the Heisenberg interaction during the action of rr pulses is estimated. For quantum computations in spin systems a principal opportunity to correct the phase errors, based on Steane's three quantum-bits scheme, is described.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Berman G. P., Campbell D. K., Doolen G. D., Lopez G. V., Tsifrinovich V. I.
Заглавие : Dynamics of a Control-Not gate for a quantum system of two weakly interacting spins
Место публикации : Physica B. - 1997. - Vol. 240, Is. 1-2. - P.61-67. - ISSN 0921-4526, DOI 10.1016/S0921-4526(97)00434-1
Примечания : Cited References: 15
Предметные рубрики: COMPUTER
COMPUTATION
DECOHERENCE
Аннотация: We present the results of computer simulations of dynamics of the quantum Control-Not gate for the system of two spins connected by a weak Ising interaction. It is demonstrated that, for both ''digital'' and ''superposition'' initial conditions, a resonant pi-pulse can provide an adequate implementation of the quantum Contol-Not gate. We also consider the influence of slightly non-resonant pi-pulse and noise on the dynamics of the quantum Control-Not gate.
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