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Dynamics of a Control-Not gate for a quantum system of two weakly interacting spins / G. P. Berman [et al.] // Physica B. - 1997. - Vol. 240, Is. 1-2. - P. 61-67, DOI 10.1016/S0921-4526(97)00434-1. - Cited References: 15 . - ISSN 0921-4526

РУБ Physics, Condensed Matter
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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Держатели документа:
LOS ALAMOS NATL LAB,CNLS,LOS ALAMOS,NM 87545
LV KIRENSKII INST PHYS,KRASNOYARSK 660036,RUSSIA
UNIV ILLINOIS,DEPT PHYS,URBANA,IL 61801
UNIV GUADALAJARA,DEPT FIS,GUADALAJARA 44420,JALISCO,MEXICO
POLYTECH INST NEW YORK,METROTECH CTR 6,BROOKLYN,NY 11201
ИФ СО РАН

Доп.точки доступа:
Berman, G. P.; Campbell, D. K.; Doolen, G. D.; Lopez, G. V.; Tsifrinovich, V. I.
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Berman, G. P.
Error correction for a spin quantum computer / G. P. Berman, D. K. Campbell, V. I. Tsifrinovich // Phys. Rev. B. - 1997. - Vol. 55, Is. 9. - P. 5929-5936, DOI 10.1103/PhysRevB.55.5929. - Cited References: 26 . - ISSN 0163-1829

РУБ Physics, Condensed Matter
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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Держатели документа:
LOS ALAMOS NATL LAB,CTR NONLINEAR STUDIES,LOS ALAMOS,NM 87545
LV KIRENSKII INST PHYS,KRASNOYARSK 660036,RUSSIA
UNIV ILLINOIS,DEPT PHYS,URBANA,IL 61801
POLYTECH INST NEW YORK,DEPT APPL MATH & PHYS,BROOKLYN,NY 11201
ИФ СО РАН

Доп.точки доступа:
Campbell, D. K.; Tsifrinovich, V. I.
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Zobov, V. E.
Implementation of a quantum adiabatic algorithm for factorization on two qudits / V. E. Zobov, A. S. Ermilov // J. Exp. Theor. Phys. - 2012. - Vol. 114, Is. 6. - P. 923-932, DOI 10.1134/S106377611205007X. - Cited References: 45. - This work was supported by the Russian Foundation for Basic Research, project no. 09-07-00138. . - ISSN 1063-7761

РУБ Physics, Multidisciplinary
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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Публикация на русском языке Зобов, Владимир Евгеньевич. О выполнении квантового адиабатического алгоритма факторизации на двух кудитах [Текст] / В. Е. Зобов, А. С. Ермилов // Журн. эксперим. и теор. физ. : Наука, 2012. - Т. 141 Вып. 6. - С. 1060-1070

Держатели документа:
[Zobov, V. E.
Ermilov, A. S.] Russian Acad Sci, Siberian Branch, Kirenskii Inst Phys, Krasnoyarsk 660036, Russia

Доп.точки доступа:
Ermilov, A. S.; Ермилов, Андрей Сергеевич; Зобов, Владимир Евгеньевич
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Zobov, V. E.
Implementation of the quantum order-finding algorithm on two qudits / V. E. Zobov, V. P. Shauro, A. S. Ermilov // JETP Letters. - 2008. - Vol. 87, Is. 6. - P. 334-339, DOI 10.1134/S0021364008060143. - Cited References: 24 . - ISSN 0021-3640

РУБ Physics, Multidisciplinary
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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Держатели документа:
[Zobov, V. E.
Ermilov, A. S.] Russian Acad Sci, Kirensky Phys Inst, Siberian Branch, Krasnoyarsk 660036, Russia
[Shauro, V. P.] Siberian Fed Univ, Krasnoyarsk 660041, Russia
ИФ СО РАН
Kirensky Institute of Physics, Siberian Branch, Russian Academy of Sciences, Akademgorodok, Krasnoyarsk 660036, Russian Federation
Siberian Federal University, Krasnoyarsk 660041, Russian Federation

Доп.точки доступа:
Shauro, V. P.; Шауро, Виталий Павлович; Ermilov, A. S.; Зобов, Владимир Евгеньевич
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