Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe

Koch, Christiane P.; Boscain, Ugo; Calarco, Tommaso; Dirr, Gunther; Filipp, Stefan; Glaser, Steffen J.; Kosloff, Ronnie; Montangero, Simone; Schulte-Herbrüggen, Thomas; Sugny, Dominique; Wilhelm, Frank K.

doi:10.48550/arxiv.2205.12110

Cited by 3 publications

(3 citation statements)

References 629 publications

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“…Our goal concerns the timely issue of optimizing control procedures for quantum systems strongly coupled to struc- * michele.desouter-lecomte@universite-paris-saclay.fr tured environments and leading to non-Markovian reduced dynamics. This requires implementing an optimization procedure of the parametric space among numerous available methods [17][18][19][20][21][22][23][24] with an efficient treatment of non-Markovian open systems [16,[25][26][27]. There are two main ways to account for the non-Markovianity reviewed for instance in reference [28].…”

Section: Introductionmentioning

confidence: 99%

Laser-controlled electronic symmetry breaking in a phenylene ethynylene dimer: Simulation by the hierarchical equations of motion and optimal control

et al. 2022

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The ability to prepare a specific superposition of electronic excited states leading to a transitory symmetry breaking of the electronic density in complex systems remains a challenging concern. We investigate how an initial coherence can be controlled by laser fields. The selected molecular system is a symmetric dimer of phenylene ethynylene presenting different interesting properties: two bright nearly degenerate excited states coupled through a conical intersection are addressable by orthogonal transition dipole moments and are well separated from neighboring states. Creating a superposed state with equal weights corresponds to a right or left electronic localization as in the double-well system followed by a transitory oscillation between the two wells. To ensure a spectral bandwidth typically smaller than 0.25 eV, the pulse duration is in the tens of femtoseconds range so that nuclear motion cannot be neglected. Optimal control theory (OCT) is applied with guess fields that effectively create the target coherence in the absence of dephasing due to the vibrational baths. We analyze the field reshaping proposed by the control and we further fit sequence of pulses on the optimal field. The overall result is efficient and robust disymmetry control over reasonable time scales of few tens of femtoseconds, exceeding the pulse duration. The monotonically convergent algorithm is combined with the hierarchical equations of motion (HEOM) able to treat strongly coupled non-Markovian dynamics. We also check the implementation of the combined OCT-HEOM approach in the tensor-train (TT) representation with propagation using the time dependent variational method.

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Section: Introductionmentioning

confidence: 99%

Laser-controlled electronic symmetry breaking in a phenylene ethynylene dimer: Simulation by the hierarchical equations of motion and optimal control

et al. 2022

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“…Quantum devices can be controlled optimally via external fields [13][14][15]. Gates can be designed in modules (1-and 2-qudit gates), such as in Ref.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of qudit gates and effects of spectator modes on optimal control pulses

Özgüler¹,

Job²

2022

Preprint

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Qudit gates for high-dimensional quantum computing can be synthesized with high precision using numerical quantum optimal control techniques. Large circuits are broken down into modules and the tailored pulses for each module can be used as primitives for a qudit compiler. Application of the pulses of each module in the presence of extra modes may decrease their effectiveness due to crosstalk. In this paper, we address this problem by simulating qudit dynamics for circuit quantum electrodynamics (cQED) systems. As a test case, we take pulses for single-qudit SWAP gates optimized in isolation and then apply them in the presence of spectator modes each of which are in Fock states. We provide an experimentally relevant scaling formula that can be used as a bound on the fidelity decay. Our results show that frequency shift from spectator mode populations has to be 0.1% of the qudit's nonlinearity in order for high-fidelity single-qudit gates to be useful in the presence of occupied spectator modes.

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“…Quantum control is nowadays a crucial and implicit step in the manipulation of a wide variety of quantum systems, including, but not limited to, the quantum computation in the noisy intermediate-scale quantum (NISQ) era [1,2]. Many methods have been developed in this field ranging from adiabatic control to optimal control theory [1, 2] and shortcuts to adiabaticity [3].…”

mentioning

confidence: 99%

Robust control of linear systems and shortcut to adiabaticity based on superoscillations

Zhang,

Chen,

Guéry-Odelin

2022

Preprint

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With the advent of quantum technologies, control issues are becoming increasingly important. In this article, we address the control in phase space under a global constraint provided by a minimal energy-like cost function and a local (in Fourier space) constraint resulting from a robustness criterion. The inverse engineering Lagrangian formalism developed here generalizes the one commonly used to describe the superoscillation phenomenon. It is applied to both non-dissipative and dissipative quantum mechanics, and extended to stochastic thermodynamics. Interestingly, our approach also allows to improve the sensing capabilities by an appropriate control of the system.

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Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe

Cited by 3 publications

References 629 publications

Laser-controlled electronic symmetry breaking in a phenylene ethynylene dimer: Simulation by the hierarchical equations of motion and optimal control

Laser-controlled electronic symmetry breaking in a phenylene ethynylene dimer: Simulation by the hierarchical equations of motion and optimal control

Dynamics of qudit gates and effects of spectator modes on optimal control pulses

Robust control of linear systems and shortcut to adiabaticity based on superoscillations

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