Quantum computing with trapped ions

Häffner, Hartmut; Roos, C. F.; Becher, Christoph; Hänsel, Wolfgang; Körber, T.; Schmidt‐Kaler, F.; Riebe, M.; Benhelm, J.; Lancaster, G. P. T.; Chek-al-kar, D.; Blatt, R.

doi:10.1109/eqec.2005.1567473

Cited by 92 publications

(150 citation statements)

References 255 publications

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“…When compared with dipole transitions, quadrupole transition rates are typically smaller by a factor ranging from 10 8 in the IR to 10 5 in the optical spectral domain. Such extremely long mean lifetimes against spontaneous emission of quadrupole excitations make them ideal candidates for nextgeneration atomic clocks [6], high-precision tests of molecular physics [7,8,9], and quantum information processing [6,10]. Electric-quadrupole transitions are used for remote sensing of important diatomic molecules, such as hydrogen, oxygen, and nitrogen, in spectra of Earth's atmosphere and other environments [4,11,12].…”

Section: Molecular Absorption Of Infrared Radiation Is Generally Due mentioning

confidence: 99%

Observation of electric-quadrupole infrared transitions in water vapor

Campargue

Kassi

Yachmenev

et al. 2020

Phys. Rev. Research

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Section: Molecular Absorption Of Infrared Radiation Is Generally Due mentioning

confidence: 99%

Observation of electric-quadrupole infrared transitions in water vapor

Campargue

Kassi

Yachmenev

et al. 2020

Phys. Rev. Research

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“…In order to induce an effective spin-spin interaction between spin states we assume that an optical spin-dependent force is applied which couples the internal states of the ions with the collective vibrational modes [23][24][25]. In the following we assume that the desired spin-spin interaction is mediated by the radial phonons which are less sensitive to ion heating and thermal motion [26].…”

Section: Physical Implementation With Trapped Ionsmentioning

confidence: 99%

“…We numerically simulate the adiabatic transition to the quantum Fourier states (4) using the time-dependent couplings and detunings (23) as well as (24). In Fig.…”

Section: B Gate Fidelitymentioning

confidence: 99%

Two-qubit quantum gate and entanglement protected by circulant symmetry

Ivanov

Vitanov

2020

Sci Rep

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We propose a method for the realization of the two-qubit quantum Fourier transform (QFT) using a Hamiltonian which possesses the circulant symmetry. Importantly, the eigenvectors of the circulant matrices are the Fourier modes and do not depend on the magnitude of the Hamiltonian elements as long as the circulant symmetry is preserved. The QFT implementation relies on the adiabatic transition from each of the spin product states to the respective quantum Fourier superposition states. We show that in ion traps one can obtain a Hamiltonian with the circulant symmetry by tuning the spin-spin interaction between the trapped ions. We present numerical results which demonstrate that very high fidelity can be obtained with realistic experimental resources. We also describe how the gate can be accelerated by using a "shortcut-to-adiabaticity" field.

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“…However, the realization of quantum gates involves the application of laser pulses which induce transitions between one-qubit states (formed by internal ion levels) and also induce interactions between qubits via ion recoil (see e.g. [1,7,8]).…”

Section: Recoil Pulse Disintegrationmentioning

confidence: 99%

“…In the same year, a fundamental quantum logic gate had been experimentally realized [2], followed by realizations of entanglement, robust controlled-NOT quantum gates and simple quantum algorithms with two to four qubits [3][4][5][6]. This initial stage of development of ion quantum computers is reviewed in [7,8]. The impressive progress in the quantum states control is highlighted in the Nobel lecture [9].…”

Section: Introductionmentioning

confidence: 99%

Properties of phonon modes of an ion-trap quantum computer in the Aubry phase

2020

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We study analytically and numerically the properties of phonon modes in an ion quantum computer. The ion chain is placed in a harmonic trap with an additional periodic potential which dimensionless amplitude K determines three main phases available for quantum computations: at zero K we have the case of Cirac-Zoller quantum computer, below a certain critical amplitude K < Kc the ions are in the Kolmogorov-Arnold-Moser (KAM) phase, with delocalized phonon modes and free chain sliding, and above the critical amplitude K > Kc ions are in the pinned Aubry phase with a finite frequency gap protecting quantum gates from temperature and other external fluctuations. For the Aubry phase, in contrast to the Cirac-Zoller and KAM phases, the phonon gap remains independent of the number of ions placed in the trap keeping a fixed ion density around the trap center. We show that in the Aubry phase the phonon modes are much better localized comparing to the Cirac-Zoller and KAM cases. Thus in the Aubry phase the recoil pulses lead to local oscillations of ions while in other two phases they spread rapidly over the whole ion chains making them rather sensible to external fluctuations. We argue that the properties of localized phonon modes and phonon gap in the Aubry phase provide advantages for the ion quantum computations in this phase with a large number of ions.

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Quantum computing with trapped ions

Cited by 92 publications

References 255 publications

Observation of electric-quadrupole infrared transitions in water vapor

Observation of electric-quadrupole infrared transitions in water vapor

Two-qubit quantum gate and entanglement protected by circulant symmetry

Properties of phonon modes of an ion-trap quantum computer in the Aubry phase

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