Experimental demonstration of composite adiabatic passage

Schraft, Daniel; Halfmann, Thomas; Genov, Genko T.; Vitanov, Nikolay V.

doi:10.1103/physreva.88.063406

Cited by 50 publications

(43 citation statements)

References 17 publications

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“…The technique of composite pulses (CPs) is far easier to implement and has been used for decades in nuclear magnetic resonance [2] and, since recently, in quantum information processing [3][4][5]11] and quantum optics [12][13][14][15][16] for highly accurate and robust qubit rotation. CPs are unique in combining the advantages of resonant techniques (very high fidelity) and adiabatic techniques (robustness to errors).…”

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confidence: 99%

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Correction of Arbitrary Field Errors in Population Inversion of Quantum Systems by Universal Composite Pulses

et al. 2014

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We introduce universal broadband composite pulse sequences for robust high-fidelity population inversion in two-state quantum systems, which compensate deviations in any parameter of the driving field (e.g., pulse amplitude, pulse duration, detuning from resonance, Stark shifts, unwanted frequency chirp, etc.) and are applicable with any pulse shape. We demonstrate the efficiency and universality of these composite pulses by experimental data on rephasing of atomic coherences in a Pr(3+):Y(2)SiO(5) crystal.

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confidence: 99%

“…In order to permit a much broader operation bandwidth, we replace now the single π pulses by our universal CPs, similarly to Ref. [15]. In the experiment we set the storage time to 600 μs, which is much larger than the dephasing time of about 20 μs.…”

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Correction of Arbitrary Field Errors in Population Inversion of Quantum Systems by Universal Composite Pulses

et al. 2014

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“…For example, in the praseodymium-doped crystal wherein the CPMG sequence has been demonstrated recently [13,16,22] the ground-level manifold consists of three sublevels, which can serve as a qutrit, and the transitions can be driven directly by radio-frequency pulses. The rephasing sequences for a ququatrit can be used in a two-qubit system; then two of the six possible transitions between the four collective states will require the use of two-qubit gates.…”

Section: Discussionmentioning

confidence: 99%

“…Another important development is the concept of robust DD sequences [10], which are resilient to pulse errors. In the first type of robust DD sequences, the single π pulses are replaced by composite pulses [11,12] as in a recent experiment in doped solids [13] by adiabatic pulses [14] or by a combination of them-composite adiabatic pulses [15,16]. In the second type of robust DD, the sequences are made inherently robust to pulse errors by using the relative phases between the π pulses [10], the simplest example being the XY -4 sequence, and the best performer is the Knill's DD sequence [10,17].…”

Section: Introductionmentioning

confidence: 99%

Dynamical rephasing of ensembles of qudits

Vitanov

2015

Phys. Rev. A

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Dynamical decoupling is an established tool for protecting the quantum state of a qubit from decoherence. This paper extends the simplest dynamical decoupling technique for qubits-the Carr-Purcell-Meiboom-Gill's two-pulse rephasing sequence-to qudits with an arbitrary number of states. The pulse sequences introduced here are particularly well suited for dynamical rephasing of the collective coherence of inhomogeneously broadened ensembles of atomic qudits.

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“…It is notable that the order of error compensation increases linearly with the number of cycles n: This is the central result of this Letter. Arbitrarily accurate error compensation is achievable even for small single pulse transition probability for any pulse shape, e.g., also for chirped pulses [22]; the linear rise in the number of pulses for higher order error compensation is superior to traditional techniques, e.g., nesting of sequences [6]; the analytic formula for UR DD allows for fine tuning to the specific pulse errors and environment. Figure 2 demonstrates the theoretical fidelity of several DD sequences against frequency detuning and Rabi frequency errors for a single qubit.…”

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Arbitrarily Accurate Pulse Sequences for Robust Dynamical Decoupling

et al. 2017

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We introduce universally robust sequences for dynamical decoupling, which simultaneously compensate pulse imperfections and the detrimental effect of a dephasing environment to an arbitrary order, work with any pulse shape, and improve performance for any initial condition. Moreover, the number of pulses in a sequence grows only linearly with the order of error compensation. Our sequences outperform the state-of-the-art robust sequences for dynamical decoupling. Beyond the theoretical proposal, we also present convincing experimental data for dynamical decoupling of atomic coherences in a solid-state optical memory.Introduction.-Quantum technologies are increasingly important nowadays for a multitude of applications in sensing, processing, and communication of information. Nevertheless, protection of quantum systems from unwanted interactions with the environment remains a major challenge. Dynamical decoupling (DD) is a widely used approach that aims to do this by nullifying the average effect of the unwanted qubit-environment coupling through the application of appropriate sequences of pulses [1][2][3][4].Most DD schemes focus on dephasing processes because they have maximum contribution to information loss in many systems, e.g., in nuclear magnetic resonance and quantum information [5,6]. Then, the major limitation to DD are pulse imperfections whose impact often exceeds the effect of the perturbations from the environment [6][7][8]. Some sequences, e.g., the widely used Carr-Purcell-Meiboom-Gill (CPMG) sequence, work efficiently for specific quantum states only [6,9]. Robust sequences for any state with limited error compensation have been demonstrated experimentally, e.g., XY4 (PDD), Knill DD (KDD) [6]. Composite pulses, designed for static errors, were also recently shown to be robust to time-dependent non-Markovian noise up to a noise frequency threshold [10]. A common feature of most robust DD sequences so far is pulse error compensation in one or two parameters only (flip angle error, detuning). High fidelity error compensation has been proposed, e.g., by nesting of sequences, but only at the price of a very fast growth in the number of pulses [6].In this Letter, we describe a general theoretical procedure to derive universally robust (UR) DD sequences that compensate pulse imperfections in any experimental parameter (e.g., variations of pulse shapes or intensities), and the effect of a slowly changing environment to an arbitrary order in the permitted error. We note that the term universal is applied for pulse errors. The UR sequences work at high efficiency for any initial condition. The number of pulses for higher order error compensation grows only linearly with the order of the residual error. The concept works for arbitrary pulse shapes. Our only assumptions are identical pulses in a sequence and

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Experimental demonstration of composite adiabatic passage

Cited by 50 publications

References 17 publications

Correction of Arbitrary Field Errors in Population Inversion of Quantum Systems by Universal Composite Pulses

Correction of Arbitrary Field Errors in Population Inversion of Quantum Systems by Universal Composite Pulses

Dynamical rephasing of ensembles of qudits

Arbitrarily Accurate Pulse Sequences for Robust Dynamical Decoupling

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