Quantum state engineering in ion-traps via adiabatic passage

Amniat-Talab, M.; Saadati-Niari, M.; Guérin, S.

doi:10.1140/epjd/e2012-30249-3

Cited by 11 publications

(5 citation statements)

References 25 publications

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“…[10][11][12][13][14][15] One of the most applied techniques to trap these cold ions is known as the Paul trap, using time-dependent radiofrequency electric fields. 16 Paul traps, specifically those with a linear configuration, 17 consist of electrodes designed to surround an inner space where the trapping of a single charged particle, as well as the simultaneous trapping a string of charged particles, occurs.…”

Section: Introductionmentioning

confidence: 99%

“…Laser-cooled or sympathetically-cooled atomic and molecular ions have been in the spotlight in recent years, due to their great potential in the study and development of many fields, such as chemical reactions, [1][2][3][4][5][6] high-precision spectroscopy, [7][8][9] atomic optics, and in many other fast developing fields related to quantum information and quantum computing, where the manipulation of the internal states of these ions has become possible. [10][11][12][13][14][15] One of the most applied techniques to trap these cold ions is known as the Paul trap, using time-dependent radio-frequency electric fields. 16 Paul traps, specifically those with a linear configuration, 17 consist of electrodes designed to surround an inner space where the trapping of a single charged particle, as well as the simultaneous trapping a string of charged particles, occurs.…”

Section: Introductionmentioning

confidence: 99%

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Rotational dynamics of a diatomic molecular ion in a Paul trap

Hashemloo

Dion

2015

The Journal of Chemical Physics

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We present models for a heteronuclear diatomic molecular ion in a linear Paul trap in a rigidrotor approximation, one purely classical and the other where the center-of-mass motion is treated classically, while rotational motion is quantized. We study the rotational dynamics and their influence on the motion of the center-of-mass, in the presence of the coupling between the permanent dipole moment of the ion and the trapping electric field. We show that the presence of the permanent dipole moment affects the trajectory of the ion and that it departs from the Mathieu equation solution found for atomic ions. For the case of quantum rotations, we also evidence the effect of the above-mentioned coupling on the rotational states of the ion. C 2015 AIP Publishing LLC. [http://dx

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Rotational dynamics of a diatomic molecular ion in a Paul trap

Hashemloo

Dion

2015

The Journal of Chemical Physics

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“…The implementation of qudit gates in N-pod systems offers a fast and efficient alternatives to the usual qubit circuit model. The present method can also be used in ion-trap systems to generate multi-ion entanglement and qudit unitary gates, in which N two-state ions confined in a linear trap interact with separate laser beams [30,31]. Compared to adiabatic population transfer schemes [16], the proposed method in this paper does not require large pulse area and hence longer interaction time.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Coherent superposition of states in N-pod systems by hyperbolic-tangent coincident pulses

2018

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We present an analytically exactly solvable N-pod quantum model, in which the coupling has a hyperbolic-tangent temporal shape and the frequency detuning is constant. The solution is derived by using the Morris–Shore transformation to reduce the N-pod system to a -like one and then to a two state system and a set of decoupled states in two steps. In this work, we use the propagator for a reduced two state system and the inverse transformation to achieve the reduced three state propagator. It is shown that any preselected coherent superposition of all N ground states can be obtained from an initial superposition of M ground states in the presence of detuning. We use a train of tanh coincident pulses and we show that the effect of spontaneous emission is efficiently suppressed by increasing the number of pulses. Besides, we explore that a coherent superposition of ground states from the initial excited state can be implemented using tanh pulses.

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“…Adiabatic dynamics plays an important role in a number of applications in quantum mechanics [1][2][3][4][5][6][7][8]. Under the effect of a surrounding environment, the success of an adiabatic protocol depends on the time scale τ required by the quantum evolution in comparison with the relaxation time scale of the external environment [9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Optimizing NMR quantum information processing via generalized transitionless quantum driving

Santos

Nicotina

Souza

et al. 2020

EPL

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High performance quantum information processing requires efficient control of undesired decohering effects, which are present in realistic quantum dynamics. To deal with this issue, a powerful strategy is to employ transitionless quantum driving (TQD), where additional fields are added to speed up the evolution of the quantum system, achieving a desired state in a short time in comparison with the natural decoherence time scales. In this paper, we provide an experimental investigation of the performance of a generalized approach for TQD to implement shortcuts to adiabaticity in nuclear magnetic resonance (NMR). As a first discussion, we consider a single nuclear spin-1 2 system in a time-dependent rotating magnetic field. While the adiabatic dynamics is violated at a resonance situation, the TQD Hamiltonian is shown to be robust against resonance, allowing us to mimic the adiabatic behavior in a fast evolution even under the resonant configurations of the original (adiabatic) Hamiltonian. Moreover, we show that the generalized TQD theory requires less energy resources, with the strength of the magnetic field less than that required by standard TQD. As a second discussion, we analyze the experimental implementation of shortcuts to single-qubit adiabatic gates. By adopting generalized TQD, we can provide feasible time-independent driving Hamiltonians, which are optimized in terms of the number of pulses used to implement the quantum dynamics. The robustness of adiabatic and generalized TQD evolutions against typical decoherence processes in NMR is also analyzed.

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Quantum state engineering in ion-traps via adiabatic passage

Cited by 11 publications

References 25 publications

Rotational dynamics of a diatomic molecular ion in a Paul trap

Rotational dynamics of a diatomic molecular ion in a Paul trap

Coherent superposition of states in N-pod systems by hyperbolic-tangent coincident pulses

Optimizing NMR quantum information processing via generalized transitionless quantum driving

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