The role of phases and their interplay in molecular vibrational quantum computing with multiple qubits

Troppmann, Ulrike; Gollub, C.; Vivie‐Riedle, Regina de

doi:10.1088/1367-2630/8/6/100

Cited by 38 publications

(28 citation statements)

References 23 publications

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“…126 ), which are favorable molecular properties for vibrational quantum computing. 47 For the definition of the two qubit basis (|00i, |01i, |10i, |11i) as sketched in Fig. 16(a) we encode the vibrational ground state of each selected normal mode as the logic value 0 and the first excited state as the logic value 1.…”

Section: 13mentioning

confidence: 99%

Optimal control theory – closing the gap between theory and experiment

Hoff

Thallmair

Kowalewski

et al. 2012

Phys. Chem. Chem. Phys.

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Optimal control theory and optimal control experiments are state of the art tools to control quantum systems. Both methods have been demonstrated successfully for numerous applications in molecular physics, chemistry and biology. Modulated light pulses could be realized, driving these various control processes. Next to the control efficiency, a key issue is the understanding of the control mechanism. An obvious way is to seek support from theory. However, the underlying search strategies in theory and experiment towards the optimal laser field differ. While the optimal control theory operates in the time domain, optimal control experiments optimize the laser fields in the frequency domain. This also implies that both search procedures experience a different bias and follow different pathways on the search landscape. In this perspective we review our recent developments in optimal control theory and their applications. Especially, we focus on approaches, which close the gap between theory and experiment. To this extent we followed two ways. One uses sophisticated optimization algorithms, which enhance the capabilities of optimal control experiments. The other is to extend and modify the optimal control theory formalism in order to mimic the experimental conditions.

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Section: 13mentioning

confidence: 99%

Optimal control theory – closing the gap between theory and experiment

Hoff

Thallmair

Kowalewski

et al. 2012

Phys. Chem. Chem. Phys.

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“…Previous modeling encoding qubits in separate molecular modes used ab initio surfaces to build an accurate model of molecular vibrations [7,8,10]. The vibrational Hamiltonian and dipole surface of the molecule SCCl 2 (thiophosgene) are known accurately from experiment [21], so we study this molecule and use experimental data directly to build our Hamiltonian and dipole surface.…”

Section: Quantum Computation In Polyatomic Moleculesmentioning

confidence: 99%

“…Individual modes of polyatomic molecules have been used to encode qubits [7][8][9][10][11][12][13]. Alternatively, series of vibrational states of diatomic molecules [5,[14][15][16] or diatomic rotational-vibrational states [17] have been used to encode qubit combinations.…”

Section: Introductionmentioning

confidence: 99%

Quantum computation with vibrationally excited polyatomic molecules: effects of rotation, level structure, and field gradients

Weidinger¹,

Gruebele

2007

Molecular Physics

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Accurate rotation-vibration energy levels and transition dipoles of the molecule thiophosgene are used to model the execution of quantum gates with shaped laser pulses. Qubits are encoded in 2 n vibrational computing states on the ground electronic surface of the molecule. Computations are carried out by cycling amplitude between these computing states and a gateway state with a shaped laser pulse. The shaped pulse that performs the computation is represented by a physical model of a 128-1024 channel pulse shaper. Pulse shapes are optimized with a standard genetic algorithm, yielding experimentally realizable computing pulses. The robustness of optimization is studied as a function of the vibrational states selected, rotational level structure, additional vibrational levels not assigned to the computation, and compensation for laser power variation across a molecular ensemble.

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“…In particular, de Vivie-Riedle et al have numerically shown that the molecular vibrational qubits (especially the twice degenerated cis-bending and asymmetric CH-stretching modes of the acetylene molecule) are promising candidates for quantum computing [5][6][7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

“…doi:10.1016/j.chemphys.2007. 10.027 may only contain UV frequencies, which may be relatively easy to realize experimentally so that this kind of combination of two molecular internal degrees of freedom deserves the detailed theoretical exploration. This motivates the present work.…”

Section: Introductionmentioning

confidence: 99%