Phonon-to-spin mapping in a system of a trapped ion via optimal control

Müller, Matthias; Poschinger, Ulrich; Calarco, Tommaso; Montangero, Simone; Schmidt‐Kaler, F.

doi:10.1103/physreva.92.053423

Cited by 8 publications

(15 citation statements)

References 48 publications

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“…In various occasions, precise quantum measurements highly depend on non-trivial unitary operations [38,41], e.g., when the desired quantity is not directly accessible or when the precision can be tuned by preparing non-trivial states. In particular, (d)CRAB has been used to map motional states on spin states in trapped ions [19], to enhance atom interferometry with a BEC [29,42], to prepare a squeezed spin state [21], to demonstrate an enhanced Casimir effect [37] and to construct optimal frequency filter functions in noise spectroscopy [18]. For a trapped ion [22][23][24][25][26][27]137] the quantum state is given by both the motional and the spin state of the ion.…”

Section: Enhanced Measurementsmentioning

confidence: 99%

“…A decade after its conception, the chopped random basis (CRAB) algorithm [1][2][3] for optimal control of quantum systems (or Quantum Optimal Control -QOC) has brought significant impact on many research areas in modern physics, especially the fields of quantum information, quantum technology and quantum many-body physics [4][5][6][7][8][9]. In quantum information science and technology, QOC and the CRAB family of QOC algorithms in general, have demonstrated their capabilities on various physical platforms -including nitrogen-vacancy centres in diamond [10][11][12][13][14][15][16][17][18], trapped ions [19][20][21][22][23][24][25][26][27], cold atoms [28][29][30][31][32][33][34], and superconducting qubits [35][36][37] -for numerous quantum optimization and information processing tasks, reaching from high performance sensing [15,17,18,38,39] to quantum metrology [19,21,…”

Section: Introductionmentioning

confidence: 99%

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One decade of quantum optimal control in the chopped random basis

Müller,

Said,

Jelezko

et al. 2021

Preprint

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The Chopped RAndom Basis (CRAB) ansatz for quantum optimal control has been proven to be a versatile tool to enable quantum technology applications, quantum computing, quantum simulation, quantum sensing, and quantum communication. Its capability to encompass experimental constraintswhile maintaining an access to the usually trap-free control landscape -and to switch from open-loop to closed-loop optimization (including with remote accessor RedCRAB) is contributing to the development of quantum technology on many different physical platforms. In this review article we present the development, the theoretical basis and the toolbox for this optimization algorithm, as well as an overview of the broad range of different theoretical and experimental applications that exploit this powerful technique.

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Section: Enhanced Measurementsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

One decade of quantum optimal control in the chopped random basis

Müller,

Said,

Jelezko

et al. 2021

Preprint

Self Cite

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“…In these optimizations, special attention was paid to robustness against noise [456,461] which can even be used as a tool for control [60]. Also, readout has been addressed [462,463]. In order to adapt to the strong filtering of control lines in superconducting qubits, transfer functions had to be taken into account [107,108,110,464] and experimental fluctuations and noise were accomodated [117,364,465].…”

Section: State Of the Artmentioning

confidence: 99%

Training Schrödinger’s cat: quantum optimal control

et al. 2015

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Abstract. It is control that turns scientific knowledge into useful technology: in physics and engineering it provides a systematic way for driving a dynamical system from a given initial state into a desired target state with minimized expenditure of energy and resources. As one of the cornerstones for enabling quantum technologies, optimal quantum control keeps evolving and expanding into areas as diverse as quantumenhanced sensing, manipulation of single spins, photons, or atoms, optical spectroscopy, photochemistry, magnetic resonance (spectroscopy as well as medical imaging), quantum information processing and quantum simulation. In this communication, state-of-the-art quantum control techniques are reviewed and put into perspective by a consortium of experts in optimal control theory and applications to spectroscopy, imaging, as well as quantum dynamics of closed and open systems. We address key challenges and sketch a roadmap for future developments. ForewordThe authors of this paper represent the QUAINT consortium, a European Coordination Action on Optimal Control of Quantum Systems, funded by the European Commission Framework Programme 7, Future Emerging Technologies FET-OPEN programme and the Virtual Facility for Quantum Control (VF-QC). This consortium has considerable expertise in optimal control theory and its applications to quantum systems, both in existing areas, such as spectroscopy and imaging, and in emerging quantum technologies, such as quantum information processing, quantum communication, quantum simulation a e-mail: fwm@lusi.uni-sb.de and quantum sensing. The list of challenges for quantum control has been gathered by a broad poll of leading researchers across the communities of general and mathematical control theory, atomic, molecular-, and chemical physics, electron and nuclear magnetic resonance spectroscopy, as well as medical imaging, quantum information, communication and simulation. 144 experts in these fields have provided feedback and specific input on the state of the art, mid-term and long-term goals. Those have been summarized in this document, which can be viewed as a perspectives paper, providing a roadmap for the future development of quantum control. Because such an endeavour can hardly ever be complete (there are many additional areas of quantum control applications, such as spintronics, nano-optomechanical technologies etc.), this roadmap

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“…More elaborate pulse sequences using a series of STIRAP red and blue sidebands would even allow for the measurement of higher motional state populations, enhancing the accuracy of the determined temperature measurement. The same approach can be employed to determine the full motional state distribution [53] or prepare strongly entangled states [32,35].…”

Section: Resultsmentioning

confidence: 99%

Detection of motional ground state population of a trapped ion using delayed pulses

et al. 2016

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Efficient preparation and detection of the motional state of trapped ions is important in many experiments ranging from quantum computation to precision spectroscopy. We investigate the stimulated Raman adiabatic passage (STIRAP) technique for the manipulation of motional states in a trapped ion system. The presented technique uses a Raman coupling between two hyperfine ground states in 25 Mg + , implemented with delayed pulses, which removes a single phonon independent of the initial motional state. We show that for a thermal probability distribution of motional states the STIRAP population transfer is more efficient than a stimulated Raman Rabi pulse on a motional sideband. In contrast to previous implementations, a large detuning of more than 200 times the natural linewidth of the transition is used. This approach renders STIRAP suitable for atoms in which resonant laser fields would populate nearby fluorescing excited states and thus impede the STIRAP process. We use the technique to measure the wavefunction overlap of excited motional states with the motional ground state. This is an important application for force sensing applications using trapped ions, such as photon recoil spectroscopy, in which the signal is proportional to the depletion of motional ground state population. Furthermore, a determination of the ground state population enables a simple measurement of the ionʼs temperature.OPEN ACCESS RECEIVED has a Gaussian shape, whereas the frequency is varied linearly in time across an atomic resonance. RAP has been used in optical qubits on carrier transitions for robust internal state preparation [27][28][29][30], and on sideband transitions, to prepare Fock [31] and Dicke [32,33] states. The STIRAP technique is typically realized in Λ-systems and relies on an adiabatic evolution from an initial to a final state without populating a short-lived intermediate state. It is usually implemented using Gaussian-shaped intensity profiles of two laser pulses with a fixed frequency difference that are delayed with respect to each other in time. It has been demonstrated for population transfer [34] and the generation of Dicke states [35], and suggested for efficient qubit detection of single ions [36] and Doppler-free efficient state transfer in multi-ion crystals [37].Here we demonstrate STIRAP between hyperfine qubit states in 25 Mg + involving a change in the motional state. The coupling strength of such sideband transitions is strongly dependent on the initial motional state of the ion [38]. We used the insensitivity of STIRAP to the coupling strength to perform a complete population transfer of motionally excited states to determine the motional ground state population. For thermal states the ground state population is a direct measure for the temperature [39]. Using this approach, good agreement with the expected Doppler cooling temperature is found.We implement STIRAP using a large detuning, which is in contrast to the near resonant STIRAP transfer typically discussed in the literature [25,40]. In this si...

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Phonon-to-spin mapping in a system of a trapped ion via optimal control

Cited by 8 publications

References 48 publications

One decade of quantum optimal control in the chopped random basis

One decade of quantum optimal control in the chopped random basis

Training Schrödinger’s cat: quantum optimal control

Detection of motional ground state population of a trapped ion using delayed pulses

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