Optimal control under spectral constraints: enforcing multi-photon absorption pathways

Reich, Daniel M.; Palao, José P.; Koch, Christiane P.

doi:10.1080/09500340.2013.844866

Cited by 24 publications

(25 citation statements)

References 32 publications

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“…where ε t ( ) ref denotes a reference field, S(t) enforces the field to be smoothly switched on and off, and the second term in equation (2) ensures a finite pulse fluence [22]. More complex additional constraints, for example, restricting the spectral width of the pulse or confining the accessible state space [32,33], are also conceivable.…”

Section: Optimization Functionalmentioning

confidence: 99%

Optimal control theory for a unitary operation under dissipative evolution

2014

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We show that optimizing a quantum gate for an open quantum system requires the time evolution of only three states irrespective of the dimension of Hilbert space. This represents a significant reduction in computational resources compared to the complete basis of Liouville space that is commonly believed necessary for this task. The reduction is based on two observations: the target is not a general dynamical map but a unitary operation; and the time evolution of two properly chosen states is sufficient to distinguish any two unitaries. We illustrate gate optimization employing a reduced set of states for a controlled phasegate with trapped atoms as qubit carriers and a i WAP S gate with superconducting qubits.

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Section: Optimization Functionalmentioning

confidence: 99%

Optimal control theory for a unitary operation under dissipative evolution

2014

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“…This can be accounted for in optimal control theory by including frequency filtering [105,111,275,276] or by imposing spectral constraints [109,277]. The effect of additional constraints is to pick a different solution out of the many solutions that typically exist in quantum optimal control [134,135,277].…”

Section: State Of the Artmentioning

confidence: 99%

“…SIMPSON [100], SPINACH [101], DYNAMO [94], and QuTiP [102]. Modifications to account for experimental imperfections and limitations and to ensure robustness of the solution have been introduced [53,[103][104][105][106][107][108][109][110][111], and numerical optimal control theory has been extended to open quantum systems [112][113][114][115][116][117].…”

Section: Numerical Optimal Control -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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“…Such a pulse is more difficult to realize experimentally than those found for Cs 2 . The spectral width could be reduced by employing spectral constraints [26,27]. The main point of our current investigation is, however, to demonstrate that optimized pulses lead to vibrational cooling even for molecules with unfavorable Franck-Condon map.…”

Section: Optimization Resultsmentioning

confidence: 93%

Cooling molecular vibrations with shaped laser pulses: optimal control theory exploiting the timescale separation between coherent excitation and spontaneous emission

Reich

Koch

2013

New J. Phys.

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Laser cooling of molecules employing broadband optical pumping involves a timescale separation between laser excitation and spontaneous emission. Here, we optimize the optical pumping step using shaped laser pulses. We derive two optimization functionals to drive population into those excited state levels that have the largest spontaneous emission rates to the target state. We show that, when using optimal control, laser cooling of molecules works even if the Franck-Condon map governing the transitions is preferential to heating rather than cooling. Our optimization functional is also applicable to the laser cooling of other degrees of freedom provided the cooling cycle consists of coherent excitation and dissipative de-excitation steps whose timescales are separated.

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Optimal control under spectral constraints: enforcing multi-photon absorption pathways

Cited by 24 publications

References 32 publications

Optimal control theory for a unitary operation under dissipative evolution

Optimal control theory for a unitary operation under dissipative evolution

Training Schrödinger’s cat: quantum optimal control

Cooling molecular vibrations with shaped laser pulses: optimal control theory exploiting the timescale separation between coherent excitation and spontaneous emission

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