Quantum Device Emulates the Dynamics of Two Coupled Oscillators

Komarova, Ksenia; Gattuso, Hugo; Levine, R. D.; Remacle, Françoise

doi:10.1021/acs.jpclett.0c01880

Cited by 21 publications

(29 citation statements)

References 41 publications

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“…Here is a preliminary report of a very simple but quite explicit application to the quantum vibrational dynamics of a linear triatomic molecule. This extends our earlier work [30][31] in that we do not need the vibrations to be harmonic although it still simplifies the procedure when they are. The two vibrational coordinates are described on a discrete square grid with small spacings along the bond distances.…”

Section: Intermezzo: a Simple Example Of Quantum Computing With The H...supporting

confidence: 63%

“…evolution along T2 is readily accounted for as shown in our earlier work. [30][31] Otherwise, and for anharmonic vibrations, we need to stretch or squeeze segments along the axis of T2 so the phase change of the time evolving vibrations matches the phase changes of the coherences due to the different spacings provided by the electronic excitonic manifold of the hardware. This phase matching is covered in more detail by the complementary analysis using the variable projection approach.…”

Section: Intermezzo: a Simple Example Of Quantum Computing With The H...mentioning

confidence: 99%

“…See refs. [30][31] for simple concrete examples. In our Hilbert space a sufficient set of operators that meet both requirements is the set of Gelfand projectors, 𝐸 !"…”

Section: Introductionmentioning

confidence: 99%

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A Quantum Information Processing Machine for Computing by Observables

Remacle

Levine

2022

Preprint

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A quantum machine that accepts an input and processes it in parallel is described. The logic variables of the machine are not wavefunctions (qubits) but observables (i.e., operators) and its operation is decribed in the Heisenberg picture. The active core is a solid-state assembly of small nanosized colloidal quantum dots(QDs) or dimers of dots. The size dispersion of the nanodots that causes fluctuations in their discrete electronic energies is a limiting factor. The input to the machine is provided by a train of very short in time laser pulses, at least four in number. The coherent band width of each ultrashort pulse needs to span at least several and preferably all the single electron excited states of the dots. The spectrum of the QD assembly is measured as a function of the time delays between the input laser pulses. The dependence of the spectrum on the time delays is Fourier transformed to a frequency spectrum. This spectrum of a finite range in time is made up of discrete pixels. These are the visible, raw, basic logic variables. The spectrum is analyzed to determine a possibly smaller number of principal components. A Lie-algebraic point of view is used to explore the use of the machine to emulate the dynamics of other quantum systems. An explicit example demonstrates the considerable quantum advantage of our scheme.

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Section: Intermezzo: a Simple Example Of Quantum Computing With The H...supporting

confidence: 63%

Section: Intermezzo: a Simple Example Of Quantum Computing With The H...mentioning

confidence: 99%

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A Quantum Information Processing Machine for Computing by Observables

Remacle

Levine

2022

Preprint

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“…[1][2][3][4][5][6][7][8] They have recently received renewed attention as versatile materials for quantum technologies and quantum information processing. [9][10][11][12][13][14][15][16][17] Coherent exciton and phonon dynamics were characterized in isolated QDs by 2-dimensional electronic spectroscopy (2DES) [18][19][20][21][22][23][24] and transient absorption [25][26] which opens the way for applications exploiting coherent superpositions of quantum states as targeted in the second quantum revolution.…”

Section: Introductionmentioning

confidence: 99%

Harvesting a Wide Spectral Range of Electronic Coherences with Disordered Quasi‐Homo Dimeric Assemblies at Room Temperature

et al. 2022

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A wide variety of photoinduced electronic coherences are shown to be robust with respect to dephasing in ensembles of quasi-homodimers assembled with sub-nm ligands from colloidal 3 nm CdSe quantum dots (QDs) with controlled 9% size dispersion, both in solution and in solidstate. Coherence periods ranging from 40 to 300 fs are consistently characterized by multidimensional electronic spectroscopy in the Vis range in solution and solid-state samples. A theoretical model that includes size dispersion, spin orbit coupling, and crystal field splitting supports the assignment of electronic coherences. Further, this model provides a guide for optimizing the coherences by tuning the interplay between dimer electronic delocalization, optical activity and size dispersion. The experimental persistence of many QD electronic coherences at the level of the size dispersed ensemble in the solid-state and in solution opens the way for building versatile bottom-up materials well suited to quantum technology applications. TOC Interdot delocalization of the electronic wave function, as a function of mean diameter 𝐷 " and size dispersion, in a quasi-homodimers of colloidal CdSe QDs. Ensembles of 𝐷 " = 3nm /9% size dispersion QD's exhibit a wide range of electronic coherences observable by multidimensional electronic spectroscopy in solution and the solid state, providing versatile building blocks for quantum technologies

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“…Quantum computing algorithms have been developed for problems of chemical interest. This includes not only electronic structure [4][5][6][7][8][9][10][11][12][13] but also quantum enhanced machine learning algorithms [8] and algorithms for dimension reduction including Principal Component Analysis, Canonical Correlation Analysis and other algebraic methods used for dimension reduction such as surprisal analysis [6,[15][16][17] A preliminary report on our quantum computation has been published [18].…”

Section: Introductionmentioning

confidence: 99%

Parallel Quantum Computation of Vibrational Dynamics

et al. 2020

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The vibrational dynamics in a linear triatomic molecule is emulated by a quantum information processing device operating in parallel. The quantum device is an ensemble of semiconducting quantum dot dimers addressed and probed by ultrafast laser pulses in the visible frequency range at room temperature. A realistic assessment of the inherent noise due to the inevitable size dispersion of colloidal quantum dots is taken into account and limits the time available for computation. At the short times considered only the electronic states of the quantum dots respond to the excitation. A model for the electronic states quantum dot (QD) dimers is used which retains the eight lowest bands of excitonic dimer states build on the lowest and first excited states of a single QD. We show how up to 8 2 64 quantum logic variables can be realistically measured and used to process information for this QD dimer electronic level structure. This is achieved by addressing the lowest and second excited electronic states of the QD's. With a narrower laser bandwidth ( longer pulse) only the lower band of excited states can be coherently addressed enabling 4 2 16 logic variables. Already this is sufficient to emulate both energy transfer between the two oscillators and coherent motions in the vibrating molecule.

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Quantum Device Emulates the Dynamics of Two Coupled Oscillators

Cited by 21 publications

References 41 publications

A Quantum Information Processing Machine for Computing by Observables

A Quantum Information Processing Machine for Computing by Observables

Harvesting a Wide Spectral Range of Electronic Coherences with Disordered Quasi‐Homo Dimeric Assemblies at Room Temperature

Parallel Quantum Computation of Vibrational Dynamics

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