Quantum Computation with Vibrationally Excited Molecules

Tesch, Carmen M.; Vivie‐Riedle, Regina de

doi:10.1103/physrevlett.89.157901

Cited by 297 publications

(281 citation statements)

References 28 publications

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“…Rather, the mechanism is based on the manipulation of the phases of individual components of the multi-mode vibrational wave packet by the laser field in the neutral molecule and cation. While control of vibrational superpositions and their phase after resonant excitation has been performed in the context of molecular vibrational qubits 22,23 , the superposition between vibrational modes is formed through a non-resonant process in our study and is controlled on an attosecond timescale. The process described here constitutes a novel mechanism for steering the reactions of complex molecules.…”

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confidence: 99%

Subfemtosecond steering of hydrocarbon deprotonation through superposition of vibrational modes

et al. 2014

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Subfemtosecond control of the breaking and making of chemical bonds in polyatomic molecules is poised to open new pathways for the laser-driven synthesis of chemical products. The break-up of the C-H bond in hydrocarbons is an ubiquitous process during laser-induced dissociation. While the yield of the deprotonation of hydrocarbons has been successfully manipulated in recent studies, full control of the reaction would also require a directional control (that is, which C-H bond is broken). Here, we demonstrate steering of deprotonation from symmetric acetylene molecules on subfemtosecond timescales before the break-up of the molecular dication. On the basis of quantum mechanical calculations, the experimental results are interpreted in terms of a novel subfemtosecond control mechanism involving non-resonant excitation and superposition of vibrational degrees of freedom. This mechanism permits control over the directionality of chemical reactions via vibrational excitation on timescales defined by the subcycle evolution of the laser waveform.

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confidence: 99%

Subfemtosecond steering of hydrocarbon deprotonation through superposition of vibrational modes

et al. 2014

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“…The vectors f α (f β ) are equal to the total time derivative of α (β) only when the state is consistent with the field through the evolution equation (12). The dependence of α and β on t will be made explicit only when necessary.…”

Section: A Krotov Methods Of Optimizationmentioning

confidence: 99%

“…In the present context two different formulations have been proposed, one based on the evolution operator [11] and the other on simultaneous N state to state transitions [12].…”

Section: A Description Of the Problemmentioning

confidence: 99%

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Optimal control theory for unitary transformations

2003

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The dynamics of a quantum system driven by an external field is well described by a unitary transformation generated by a time dependent Hamiltonian. The inverse problem of finding the field that generates a specific unitary transformation is the subject of study. The unitary transformation which can represent an algorithm in a quantum computation is imposed on a subset of quantum states embedded in a larger Hilbert space. Optimal control theory (OCT) is used to solve the inversion problem irrespective of the initial input state. A unified formalism, based on the Krotov method is developed leading to a new scheme. The schemes are compared for the inversion of a two-qubit Fourier transform using as registers the vibrational levels of the X 1 Σ + g electronic state of Na 2 . Raman-like transitions through the A 1 Σ + u electronic state induce the transitions.Light fields are found that are able to implement the Fourier transform within a picosecond time scale. Such fields can be obtained by pulse-shaping techniques of a femtosecond pulse. Out of the schemes studied the square modulus scheme converges fastest. A study of the implementation of the Q qubit Fourier transform in the Na 2 molecule was carried out for up to 5 qubits. The classical computation effort required to obtain the algorithm with a given fidelity is estimated to scale exponentially with the number of levels. The observed moderate scaling of the pulse intensity with the number of qubits in the transformation is rationalized.

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“…It should nevertheless be noted that there are many possible realizations of the above phenomena. These include nano-mechanical oscillators [2], arrays of coupled atom-cavity systems, photonic crystals, and many other realizations of weakly coupled harmonic systems, potentially even vibrational modes of molecules in molecular quantum computing [23]. We hope that these ideas may lead to the development of novel ways for the implementation of quantum information processing in which the quantum information is manipulated by flowing through pre-fabricated circuits that can be manipulated from outside.…”

Section: Discussionmentioning

confidence: 99%

Manipulating quantum information by propagation

Perales¹,

Plenio²

2005

J. Opt. B: Quantum Semiclass. Opt.

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We study creation of bi-and multipartite continuous variable entanglement in structures of coupled quantum harmonic oscillators. By adjusting the interaction strengths between nearest neighbors we show how to maximize the entanglement production between the arms in a Y-shaped structure where an initial single mode squeezed state is created in the first oscillator of the input arm. We also consider the action of the same structure as an approximate quantum cloner. For a specific time in the system dynamics the last oscillators in the output arms can be considered as imperfect copies of the initial state. By increasing the number of arms in the structure, multipartite entanglement is obtained, as well as 1 → M cloning. Finally, we are considering configurations that implement the symmetric splitting of an initial entangled state. All calculations are carried out within the framework of the rotating wave approximation in quantum optics, and our predictions could be tested with current available experimental techniques.

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Quantum Computation with Vibrationally Excited Molecules

Cited by 297 publications

References 28 publications

Subfemtosecond steering of hydrocarbon deprotonation through superposition of vibrational modes

Subfemtosecond steering of hydrocarbon deprotonation through superposition of vibrational modes

Optimal control theory for unitary transformations

Manipulating quantum information by propagation

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