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Implementation of quantum gate operations in molecules with weak laser fields
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10.1063/1.2172605
/content/aip/journal/jcp/124/11/10.1063/1.2172605
http://aip.metastore.ingenta.com/content/aip/journal/jcp/124/11/10.1063/1.2172605

Figures

Image of FIG. 1.
FIG. 1.

(a) Schematic of the experimental setup. (b) Pulse sequence for quantum computation. The times, , , and , specify the temporal peak of the shaping pulse, the initial preparation time, and the temporal peak of the reference pulse, respectively (see text). The time intervals are referred to as the input preparation time and the gate operation time .

Image of FIG. 2.
FIG. 2.

“Average” fidelity [Eq. (19)] of the quantum Fourier transform as a function of gate operation time .

Image of FIG. 3.
FIG. 3.

“Average” fidelity [Eq. (19)] of the quantum Fourier transform as a function of vibrational quantum number, in which the modified vibrational states, with to , are chosen as the basis. The gate operation time is optimized for each basis set.

Image of FIG. 4.
FIG. 4.

(Upper figures) Shaping and reference pulses when their temporal peaks are chosen as and , respectively. The frequency resolutions of the shaping pulses are specified by (a) , (b) , and (c) . (Lower figures) Interferograms for the populations of the vibrational states associated with the logical input state, ∣001⟩, as a function of the phase-locking angle . The short-dashed, long-dashed, dotted, and dotted-dashed lines show the populations of , , , and , respectively. The interferograms for the and state populations have maximum values around , while those for the and state populations have maximum values around . The solid lines show the interferograms for the populations of the other vibrational states.

Image of FIG. 5.
FIG. 5.

Interferograms for the populations of the vibrational states associated with the logical output state, , as a function of the phase-locking angle . The frequency resolutions of the shaping pulses are specified by (a) , (b) , and (c) . The short-dashed, long-dashed, dotted, and dotted-dashed lines show the populations of , , , and , the maximum values of which appear at , , , and , respectively. The solid lines show the interferograms for the populations of the other vibrational states.

Image of FIG. 6.
FIG. 6.

(Upper figures) Shaping and reference pulses for measuring the interferograms for populations of the vibrational states associated with (a) the logical input state and (b) the logical output state. (Middle figures) (a) Interferogram for the population of each vibrational state associated with the logical input state and (b) that associated with the logical output state as a function of the phase-locking angle of the reference pulse, . The dotted and dashed lines show the populations of and . For the other vibrational states (solid lines), the interferograms are constantly independent of . (Lower figures) Population distributions in the logical-state representation for (a) the input state and (b) the output state.

Tables

Generic image for table
Table I.

Fidelities of CNOT and QFT in a case. The definition of fidelity is given by Eq. (18).

Generic image for table
Table II.

Fidelities of QFT. The definition of fidelity is given by Eq. (18).

Generic image for table
Table III.

Normalized overlap [defined by Eq. (23)] between the target logical state and the wave packet produced by the shaping pulse when the pulse shaper has a frequency resolution of .

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/content/aip/journal/jcp/124/11/10.1063/1.2172605
2006-03-20
2014-04-24
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Implementation of quantum gate operations in molecules with weak laser fields
http://aip.metastore.ingenta.com/content/aip/journal/jcp/124/11/10.1063/1.2172605
10.1063/1.2172605
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