On the design of molecular excitonic circuits for quantum computing: the universal quantum gates

This manuscript presents a strategy for controlling the transformation of excitonic states through the design of circuits made up of coupled organic dye molecules. Specifically, we show how unitary transformation matrices can be mapped to the Hamiltonians of physical systems of dye molecules with sp...

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Main Authors: Castellanos, Maria A., Dodin, Amro, Willard, Adam P.
Other Authors: Massachusetts Institute of Technology. Department of Chemistry
Format: Article
Published: Royal Society of Chemistry (RSC) 2020
Online Access:https://hdl.handle.net/1721.1/123793
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author Castellanos, Maria A.
Dodin, Amro
Willard, Adam P.
author2 Massachusetts Institute of Technology. Department of Chemistry
author_facet Massachusetts Institute of Technology. Department of Chemistry
Castellanos, Maria A.
Dodin, Amro
Willard, Adam P.
author_sort Castellanos, Maria A.
collection MIT
description This manuscript presents a strategy for controlling the transformation of excitonic states through the design of circuits made up of coupled organic dye molecules. Specifically, we show how unitary transformation matrices can be mapped to the Hamiltonians of physical systems of dye molecules with specified geometric and chemical properties. The evolution of these systems over specific time scales encodes the action of the unitary transformation. We identify bounds on the complexity of the transformations that can be represented by these circuits and on the optoelectronic properties of the dye molecules that comprise them. We formalize this strategy and apply it to determine the excitonic circuits of the four universal quantum logic gates: NOT, Hadamard, π/8 and CNOT. We discuss the properties of these circuits and how their performance is expected to be influenced by the presence of environmental noise.
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spelling mit-1721.1/1237932022-09-28T09:08:50Z On the design of molecular excitonic circuits for quantum computing: the universal quantum gates Castellanos, Maria A. Dodin, Amro Willard, Adam P. Massachusetts Institute of Technology. Department of Chemistry This manuscript presents a strategy for controlling the transformation of excitonic states through the design of circuits made up of coupled organic dye molecules. Specifically, we show how unitary transformation matrices can be mapped to the Hamiltonians of physical systems of dye molecules with specified geometric and chemical properties. The evolution of these systems over specific time scales encodes the action of the unitary transformation. We identify bounds on the complexity of the transformations that can be represented by these circuits and on the optoelectronic properties of the dye molecules that comprise them. We formalize this strategy and apply it to determine the excitonic circuits of the four universal quantum logic gates: NOT, Hadamard, π/8 and CNOT. We discuss the properties of these circuits and how their performance is expected to be influenced by the presence of environmental noise. National Science Foundation (Grant CHE-1839155) United States. Department of Energy (Award DE-SC0019998) 2020-02-11T20:45:41Z 2020-02-11T20:45:41Z 2020-01 2019-10 Article http://purl.org/eprint/type/JournalArticle 1463-9076 1463-9084 https://hdl.handle.net/1721.1/123793 Castellanos, Maria A. et al. "On the design of molecular excitonic circuits for quantum computing: the universal quantum gates." Physical Chemistry Chemical Physics 22, 5 (January 2020): 3048-3057 © 2020 Royal Society of Chemistry http://dx.doi.org/10.1039/c9cp05625d Physical Chemistry Chemical Physics Creative Commons Attribution 3.0 unported license https://creativecommons.org/licenses/by/3.0/ application/pdf Royal Society of Chemistry (RSC) Royal Society of Chemistry (RSC)
spellingShingle Castellanos, Maria A.
Dodin, Amro
Willard, Adam P.
On the design of molecular excitonic circuits for quantum computing: the universal quantum gates
title On the design of molecular excitonic circuits for quantum computing: the universal quantum gates
title_full On the design of molecular excitonic circuits for quantum computing: the universal quantum gates
title_fullStr On the design of molecular excitonic circuits for quantum computing: the universal quantum gates
title_full_unstemmed On the design of molecular excitonic circuits for quantum computing: the universal quantum gates
title_short On the design of molecular excitonic circuits for quantum computing: the universal quantum gates
title_sort on the design of molecular excitonic circuits for quantum computing the universal quantum gates
url https://hdl.handle.net/1721.1/123793
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