Robust operation of a universal set of logic gates for quantum computation using adiabatic population transfer between molecular levels

Menzel-Jones, Cian; Shapiro, Moshe

doi:10.1103/physreva.75.052308

Cited by 32 publications

(12 citation statements)

References 33 publications

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“…Whereas transfer efficiencies of 90%-95% are often considered satisfactory for selective quantum-state preparation in atoms and molecules, more recent interest in quantum information processing [21,22] using STIRAP [23][24][25][26][27][28][29] calls for the errors of gate operations to be 10 −4 or less [22,30]. It is thus important to understand possible limitations that would prevent such achievements by STIRAP.…”

Section: A Stirapmentioning

confidence: 99%

Detrimental consequences of small rapid laser fluctuations on stimulated Raman adiabatic passage

Yatsenko

Shore²,

Бергманн³

2014

Phys. Rev. A

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We discuss the detrimental effect of small rapid random fluctuations of laser-field amplitude and phase upon the efficiency of stimulated Raman adiabatic passage (STIRAP). Such fluctuations typically accompany the laser stabilization procedures that produce nearly monochromatic light on top of a much broader bandwidth Lorentz-profile pedestal which may carry only a few percent or less of the total power. As we will show, their effects differ qualitatively from the fluctuations that have hitherto been considered (for example, phase diffusion). We present analytic expressions for the population transfer efficiency of STIRAP when limited by stochastic fluctuations of this type. These expressions show, in contrast to situations discussed in the past in which population transfer improves with increasing peak Rabi frequencies, that for the weak broadband noise that accompanies a strong narrow-spectral component, there is an optimum value for the peak Rabi frequency and that the effect of fluctuations, although small, cannot be entirely eliminated in practice. The mission of the current work is to point out that, under the given circumstances, efforts in experiments trying to overcome the detrimental consequences of fluctuations by increasing the intensity, which is the intuitively proper approach, will not be successful.

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Section: A Stirapmentioning

confidence: 99%

Detrimental consequences of small rapid laser fluctuations on stimulated Raman adiabatic passage

Yatsenko

Shore²,

Бергманн³

2014

Phys. Rev. A

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“…3b, which depicts the BCC pulse bandwidths (blue circles) and intensities (points) required to achieve sufficient C(0,) contrast (of at least 20%). The pulse parameters are shown for the s and s==s+1 excited pairs coupling to four consecutive final vibrational states f=8, 9,10,21 in the X 1 ⌺ PES. We label the phase relation between the TDMs, sgn( s,f s+1,f ), as before (black squares, same; red diamonds, opposite), and find complete agreement with the expected signs.…”

Section: Results: Lirbmentioning

confidence: 99%

“…Knowledge of these signs is, however, vital in many applications. 4,5,6,7,8,9,10,11 For example, in the short pulse productions of wave packets, 4,5 the fluorescence signal is composed of the beatings between many transitions whose signs fundamentally affect the observations. We have previously shown 12,13,14 that given the squares of the TDMs, we are able to derive the TDMs amplitudes and perform a point-by-point construction of the excited Born−Oppenheimer potential energy surface (PES) from which the emission occurs.…”

Section: Introductionmentioning

confidence: 99%

Using coherent control to extract the phases of electronic transition-dipole matrices: the LiRb case

Menzel-JonesCian

ShapiroMoshe

2014

Can. J. Chem.

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We show that "bichromatic coherent control" (BCC) enables the determination of the amplitudes (= magnitudes + phases) of individual transition-dipole matrix elements (TDMs) and the amplitude of time-evolving wave packets from timeresolved fluorescence data. In the present use of BCC, one induces quantum interferences using two external laser fields to coherently deplete the population of different pairs of excited energy eigenstates. The BCC-induced depletion is supplemented by the computation of the Fourier integral of the time-resolved fluorescence at the beat frequencies of the two states involved. The combination of BCC and Fourier transform enables the determination of both the expansion coefficients of the wave packet in a basis of vibrational energy eigenstates and the amplitudes of the ͗ f Խ Խ s ͘ electronic TDMs linking the excited and ground rovibrational states. We illustrate our method by determining the amplitudes of the TDMs linking the vibrational states of the A 1 ⌺ u ϩ ϳ b 3 ⌸ spin orbit coupled potentials to both the singlet X 1 ⌺ u ϩ and the triplet a 3 ⌺ u ϩ electronic ground states in LiRb. The approach, which is found to be quite robust against errors in the BCC procedure and experimental data, can be readily generalized to the imaging of wave packets of polyatomic molecules.Résumé : Nous montrons que le « contrôle cohérent bichromatique » (CCB) permet de déterminer les amplitudes (= grandeurs + phases) des éléments de matrice de transition dipolaire (EMTD) individuels et l'amplitude des paquets d'ondes à évolution temporelle au moyen de données de fluorescence résolues en temps. La présente utilisation du CCB consiste à induire des interférences quantiques en se servant de deux champs laser externes en vue de réduire de manière cohérente la population de différentes paires d'états propres excités d'énergie. La réduction induite par le CCB est complétée par le calcul de l'intégrale de Fourier de la fluorescence résolue en temps aux fréquences de battement des deux états concernés. La combinaison du CCB et de la transformée de Fourier permet de déterminer les coefficients d'expansion du paquet d'ondes dans une base d'états propres d'énergie de vibration, ainsi que les amplitudes des EMTD électroniques ͗ f Խ Խ s ͘ reliant les états rovibrationnels excités et fondamentaux. Pour illustrer notre méthode, nous déterminons les amplitudes des EMTD reliant les états vibrationnels des potentiels avec couplage spin orbite A 1 ⌺ u ϩ ϳ b 3 ⌸ aux états électroniques fondamentaux singulet X 1 ⌺ u ϩ ainsi que triplet a 3 ⌺ u ϩ dansLiRb. L'approche, qui s'avère assez robuste aux erreurs dans la procédure de CCB et les données expérimentales, est facilement généralisable à l'imagerie des paquets d'ondes de molécules polyatomiques. [Traduit par la Rédaction]

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“…[15][16][17][18][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39] The Deutsch-Jozsa algorithm is one of the elementary algorithms in quantum computation. This algorithm was simulated theoretically using vibrational states of acetylene 18 and electronic excited states of iodine.…”

Section: Introductionmentioning

confidence: 99%

The operations of quantum logic gates with pure and mixed initial states

Chen

Hwang

et al. 2011

The Journal of Chemical Physics

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The implementations of quantum logic gates realized by the rovibrational states of a C(12)O(16) molecule in the X((1)Σ(+)) electronic ground state are investigated. Optimal laser fields are obtained by using the modified multitarget optimal theory (MTOCT) which combines the maxima of the cost functional and the fidelity for state and quantum process. The projection operator technique together with modified MTOCT is used to get optimal laser fields. If initial states of the quantum gate are pure states, states at target time approach well to ideal target states. However, if the initial states are mixed states, the target states do not approach well to ideal ones. The process fidelity is introduced to investigate the reliability of the quantum gate operation driven by the optimal laser field. We found that the quantum gates operate reliably whether the initial states are pure or mixed.

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Robust operation of a universal set of logic gates for quantum computation using adiabatic population transfer between molecular levels

Cited by 32 publications

References 33 publications

Detrimental consequences of small rapid laser fluctuations on stimulated Raman adiabatic passage

Detrimental consequences of small rapid laser fluctuations on stimulated Raman adiabatic passage

Using coherent control to extract the phases of electronic transition-dipole matrices: the LiRb case

The operations of quantum logic gates with pure and mixed initial states

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