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Castellanos MA, Willard AP. Designing excitonic circuits for the Deutsch-Jozsa algorithm: mitigating fidelity loss by merging gate operations. Phys Chem Chem Phys 2021; 23:15196-15208. [PMID: 34231586 DOI: 10.1039/d1cp01643a] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
In this manuscript, we examine design strategies for the development of excitonic circuits that are capable of performing simple 2-qubit multi-step quantum algorithms. Specifically, we compare two different strategies for designing dye-based systems that prescribe exciton evolution encoding a particular quantum algorithm. A serial strategy implements the computation as a step-by-step series of circuits, with each carrying out a single operation of the quantum algorithm, and a combined strategy implements the entire computation in a single circuit. We apply these two approaches to the well-studied Deutsch-Jozsa algorithm and evaluate circuit fidelity in an idealized system under a model harmonic bath, and also for a bath that is parameterized to reflect the thermal fluctuations of an explicit molecular environment. We find that the combined strategy tends to yield higher fidelity and that the harmonic bath approximation leads to lower fidelity than a model molecular bath. These results imply that the programming of excitonic circuits for quantum computation should favor hard-coded modules that incorporate multiple algorithmic steps and should represent the molecular nature of the circuit environment.
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Affiliation(s)
- Maria A Castellanos
- Department of Chemistry, Massachusetts Institute of Technology, Cambridge, MA, USA.
| | - Adam P Willard
- Department of Chemistry, Massachusetts Institute of Technology, Cambridge, MA, USA.
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2
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Korsakas S, Bučinskas J, Abramavicius D. Long memory effects in excitonic systems dynamics: Spectral relations and excitation transport. J Chem Phys 2020; 152:244114. [DOI: 10.1063/5.0009926] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/21/2023] Open
Affiliation(s)
- S. Korsakas
- Institute of Chemical Physics, Faculty of Physics, Vilnius University, Sauletekio 9-III, 10222 Vilnius, Lithuania
| | - J. Bučinskas
- Institute of Chemical Physics, Faculty of Physics, Vilnius University, Sauletekio 9-III, 10222 Vilnius, Lithuania
| | - D. Abramavicius
- Institute of Chemical Physics, Faculty of Physics, Vilnius University, Sauletekio 9-III, 10222 Vilnius, Lithuania
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Claridge K, Padula D, Troisi A. On the arrangement of chromophores in light harvesting complexes: chance versus design. Faraday Discuss 2019; 221:133-149. [PMID: 31544201 DOI: 10.1039/c9fd00045c] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
We used a homogeneous computational approach to derive the excitonic Hamiltonian for five light harvesting complexes containing only one type of chromophore and compare them in terms of statistical descriptors. We then studied the approximate exciton dynamics for the five complexes introducing a measure, the (averaged and time-dependent) inverse participation ratio, that enables the comparison between very diverse complexes on the same ground. We find that the global dynamics are very similar across the set of systems despite the variety of geometric structures of the complexes. In particular, the dynamics of four out of five light harvesting complexes are barely distinguishable with a small variation from the norm seen only for the Fenna-Matthews-Olson complex. We use the information from the realistic Hamiltonians to build a reduced model system that shows how the global dynamics are ultimately dominated by a single parameter, the degree of localization of the excitonic Hamiltonian eigenstates. Considering the physically plausible range of system parameters, the reduced model explains why the dynamics are so similar across most light harvesting complexes containing a single type of chromophore regardless of the detailed pattern of the inter-chromophore excitonic coupling.
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Affiliation(s)
- Kirsten Claridge
- Department of Chemistry, University of Liverpool, Liverpool L69 7ZD, UK.
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Schelter I, Foerster JM, Gardiner AT, Roszak AW, Cogdell RJ, Ullmann GM, de Queiroz TB, Kümmel S. Assessing density functional theory in real-time and real-space as a tool for studying bacteriochlorophylls and the light-harvesting complex 2. J Chem Phys 2019; 151:134114. [DOI: 10.1063/1.5116779] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/04/2023] Open
Affiliation(s)
- Ingo Schelter
- Theoretical Physics IV, University of Bayreuth, Bayreuth, Germany
| | - Johannes M. Foerster
- Theoretical Physics IV and Computational Biochemistry, University of Bayreuth, Bayreuth, Germany
| | | | - Aleksander W. Roszak
- Institute of Molecular, Cell and Systems Biology, University of Glasgow, Glasgow, United Kingdom
| | - Richard J. Cogdell
- Institute of Molecular, Cell and Systems Biology, University of Glasgow, Glasgow, United Kingdom
| | | | | | - Stephan Kümmel
- Theoretical Physics IV, University of Bayreuth, Bayreuth, Germany
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Mallus MI, Shakya Y, Prajapati JD, Kleinekathöfer U. Environmental effects on the dynamics in the light-harvesting complexes LH2 and LH3 based on molecular simulations. Chem Phys 2018. [DOI: 10.1016/j.chemphys.2018.08.013] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/07/2023]
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6
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Maiuri M, Oviedo MB, Dean JC, Bishop M, Kudisch B, Toa ZSD, Wong BM, McGill SA, Scholes GD. High Magnetic Field Detunes Vibronic Resonances in Photosynthetic Light Harvesting. J Phys Chem Lett 2018; 9:5548-5554. [PMID: 30199266 DOI: 10.1021/acs.jpclett.8b02748] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/08/2023]
Abstract
The origin and role of oscillatory features detected in recent femtosecond spectroscopy experiments of photosynthetic complexes remain elusive. A key hypothesis underneath of these observations relies on electronic-vibrational resonance, where vibrational levels of an acceptor chromophore match the donor-acceptor electronic gap, accelerating the downhill energy transfer. Here we identify and detune such vibronic resonances using a high magnetic field that exclusively shifts molecular exciton states. We implemented ultrafast pump-probe spectroscopy into a specialized 25 T magnetic field facility and studied the light-harvesting complex PC645 from a cryptophyte algae where strongly coupled chromophores form molecular exciton states. We detected a change in high-frequency coherent oscillations when the field was engaged. Quantum chemical calculations coupled with a vibronic model explain the experiment as a magnetic field-induced shift of the exciton states, which in turn affects the electronic-vibrational resonance between pigments within the protein. Our results demonstrate the delicate sensitivity of interpigment coherent oscillations of vibronic origin to electronic-vibrational resonance interactions in light-harvesting complexes.
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Affiliation(s)
- Margherita Maiuri
- Department of Chemistry , Princeton University , Washington Road , Princeton , New Jersey 08540 , United States
| | - Maria B Oviedo
- Department of Chemistry , Princeton University , Washington Road , Princeton , New Jersey 08540 , United States
- Department of Chemical & Environmental Engineering and Materials Science & Engineering Program , University of California-Riverside , Riverside , California 92521 , United States
- Instituto de Investigaciones Fisicoquímicas de Córdoba, Consejo Nacional de Investigaciones Científicas y Técnicas (INFIQC - CONICET), Departamento de Química Teórica y Computacional, Facultad de Ciencias Químicas , Universidad Nacional de Córdoba, Ciudad Universitaria , Córdoba X5000HUA , Argentina
| | - Jacob C Dean
- Department of Chemistry , Princeton University , Washington Road , Princeton , New Jersey 08540 , United States
| | - Michael Bishop
- National High Magnetic Field Laboratory (NHMFL) , 1800 East Paul Dirac Drive , Tallahassee , Florida 32310 , United States
| | - Bryan Kudisch
- Department of Chemistry , Princeton University , Washington Road , Princeton , New Jersey 08540 , United States
| | - Zi S D Toa
- Department of Chemistry , Princeton University , Washington Road , Princeton , New Jersey 08540 , United States
| | - Bryan M Wong
- Department of Chemical & Environmental Engineering and Materials Science & Engineering Program , University of California-Riverside , Riverside , California 92521 , United States
| | - Stephen A McGill
- National High Magnetic Field Laboratory (NHMFL) , 1800 East Paul Dirac Drive , Tallahassee , Florida 32310 , United States
| | - Gregory D Scholes
- Department of Chemistry , Princeton University , Washington Road , Princeton , New Jersey 08540 , United States
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7
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Gu B, Franco I. Generalized Theory for the Timescale of Molecular Electronic Decoherence in the Condensed Phase. J Phys Chem Lett 2018; 9:773-778. [PMID: 29343064 DOI: 10.1021/acs.jpclett.7b03322] [Citation(s) in RCA: 26] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
We introduce a general theory of electronic decoherence for molecules in the condensed phase that captures contributions coming from pure dephasing effects, electronic transitions among diabatic states, and their interference. The theory is constructed by taking advantage of a recently developed [ J. Phys. Chem. Lett. 2017 , 8 , 4289 - 4294 ] general expression for decoherence times that is based on an early time expansion of the purity dynamics and extends early electronic decoherence models based on pure dephasing ideas. Using this theory, we construct the decoherence time for the displaced harmonic oscillator model amended with constant and linear diabatic couplings, which is a widely used model of the photoexcited dynamics of molecules. The validity of the short-time expansion is demonstrated by the quantitative agreement of the theory with exact numerical computations of the decoherence dynamics obtained using the hierarchical equation of motion method. These developments offer a rigorous understanding of early time electronic decoherence processes that accompany basic molecular events and demonstrate that electronic transitions among diabatic states play a major role in the decoherence dynamics.
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Affiliation(s)
- Bing Gu
- Department of Chemistry, University of Rochester , Rochester, New York 14627, United States
| | - Ignacio Franco
- Department of Chemistry, University of Rochester , Rochester, New York 14627, United States
- Department of Physics, University of Rochester , Rochester, New York 14627, United States
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Mallus MI, Schallwig M, Kleinekathöfer U. Relation between Vibrational Dephasing Time and Energy Gap Fluctuations. J Phys Chem B 2017. [PMID: 28625060 DOI: 10.1021/acs.jpcb.7b02693] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
Dephasing processes are present in basically all applications in which quantum mechanics plays a role. These applications certainly include excitation energy and charge transfer in biological systems. In a previous study, we have analyzed the vibrational dephasing time as a function of energy gap fluctuation for a large set of molecular simulations. In that investigation, individual molecular subunits were the focus of the calculations. The set of studied molecules included bacteriochlorophylls in Fenna-Matthews-Olson and light-harvesting system 2 complexes as well as bilins in PE545 aggregates. The present work extends this study to entire complexes, including the respective intermolecular couplings. Again, it can be concluded that a universal and inverse proportionality exists between dephasing time and variance of the excitonic energy gap fluctuations, whereas the respective proportionality constants can be rationalized using the energy gap autocorrelation functions. Furthermore, these findings can be extended to the gaps between higher-lying neighboring excitonic states.
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Affiliation(s)
- Maria Ilaria Mallus
- Department of Physics and Earth Sciences, Jacobs University Bremen , Campus Ring 1, 28759 Bremen, Germany
| | - Maximilian Schallwig
- Department of Physics and Earth Sciences, Jacobs University Bremen , Campus Ring 1, 28759 Bremen, Germany
| | - Ulrich Kleinekathöfer
- Department of Physics and Earth Sciences, Jacobs University Bremen , Campus Ring 1, 28759 Bremen, Germany
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Firmino T, Mangaud E, Cailliez F, Devolder A, Mendive-Tapia D, Gatti F, Meier C, Desouter-Lecomte M, de la Lande A. Quantum effects in ultrafast electron transfers within cryptochromes. Phys Chem Chem Phys 2016; 18:21442-57. [DOI: 10.1039/c6cp02809h] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/20/2023]
Abstract
Cryptochromes and photolyases are flavoproteins that may undergo ultrafast charge separation upon electronic excitation of their flavin cofactors.
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Affiliation(s)
- Thiago Firmino
- Laboratoire de Chimie Physique
- CNRS
- Université Paris-Sud
- Université Paris Saclay
- Orsay F-91405
| | - Etienne Mangaud
- Laboratoire de Chimie Physique
- CNRS
- Université Paris-Sud
- Université Paris Saclay
- Orsay F-91405
| | - Fabien Cailliez
- Laboratoire de Chimie Physique
- CNRS
- Université Paris-Sud
- Université Paris Saclay
- Orsay F-91405
| | - Adrien Devolder
- Laboratoire de Chimie Physique
- CNRS
- Université Paris-Sud
- Université Paris Saclay
- Orsay F-91405
| | | | - Fabien Gatti
- CTMM
- Institut Charles Gerhardt UMR 5253
- CNRS/Université de Montpellier
- France
| | - Christoph Meier
- Laboratoire Collisions Agrégats Réactivité
- UMR 5589
- IRSAMC
- Université Toulouse III Paul Sabatier
- Toulouse
| | | | - Aurélien de la Lande
- Laboratoire de Chimie Physique
- CNRS
- Université Paris-Sud
- Université Paris Saclay
- Orsay F-91405
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