On the design of molecular excitonic circuits for quantum computing: the universal quantum gates
Abstract
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. Finally, we discuss the properties of these circuits and how their performance is expected to be influenced by the presence of environmental noise.
- Authors:
-
- Department of Chemistry, Massachusetts Institute of Technology, Cambridge, USA
- Publication Date:
- Research Org.:
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Sponsoring Org.:
- USDOE; National Science Foundation (NSF)
- OSTI Identifier:
- 1592791
- Alternate Identifier(s):
- OSTI ID: 1803896
- Grant/Contract Number:
- SC0019998; CHE-1839155
- Resource Type:
- Published Article
- Journal Name:
- Physical Chemistry Chemical Physics. PCCP (Print)
- Additional Journal Information:
- Journal Name: Physical Chemistry Chemical Physics. PCCP (Print) Journal Volume: 22 Journal Issue: 5; Journal ID: ISSN 1463-9076
- Publisher:
- Royal Society of Chemistry (RSC)
- Country of Publication:
- United Kingdom
- Language:
- English
- Subject:
- 37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; Chemistry; Physics
Citation Formats
Castellanos, Maria A., Dodin, Amro, and Willard, Adam P. On the design of molecular excitonic circuits for quantum computing: the universal quantum gates. United Kingdom: N. p., 2020.
Web. doi:10.1039/C9CP05625D.
Castellanos, Maria A., Dodin, Amro, & Willard, Adam P. On the design of molecular excitonic circuits for quantum computing: the universal quantum gates. United Kingdom. https://doi.org/10.1039/C9CP05625D
Castellanos, Maria A., Dodin, Amro, and Willard, Adam P. Wed .
"On the design of molecular excitonic circuits for quantum computing: the universal quantum gates". United Kingdom. https://doi.org/10.1039/C9CP05625D.
@article{osti_1592791,
title = {On the design of molecular excitonic circuits for quantum computing: the universal quantum gates},
author = {Castellanos, Maria A. and Dodin, Amro and Willard, Adam P.},
abstractNote = {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. Finally, we discuss the properties of these circuits and how their performance is expected to be influenced by the presence of environmental noise.},
doi = {10.1039/C9CP05625D},
journal = {Physical Chemistry Chemical Physics. PCCP (Print)},
number = 5,
volume = 22,
place = {United Kingdom},
year = {2020},
month = {2}
}
https://doi.org/10.1039/C9CP05625D
Web of Science
Works referenced in this record:
Anharmonic properties of the vibrational quantum computer
journal, May 2007
- Zhao, Meiyu; Babikov, Dmitri
- The Journal of Chemical Physics, Vol. 126, Issue 20
Quantum Computing with Molecules
journal, June 1998
- Gershenfeld, Neil; Chuang, Isaac L.
- Scientific American, Vol. 278, Issue 6
Quantum computers
journal, March 2010
- Ladd, T. D.; Jelezko, F.; Laflamme, R.
- Nature, Vol. 464, Issue 7285
Schemes for robust quantum computation with polar molecules
journal, November 2006
- Yelin, S. F.; Kirby, K.; Côté, Robin
- Physical Review A, Vol. 74, Issue 5
The role of anharmonicity and coupling in quantum computing based on vibrational qubits
journal, April 2006
- Gollub, C.; Troppmann, U.; Vivie-Riedle, R. de
- New Journal of Physics, Vol. 8, Issue 4
Quantum Privacy Amplification and the Security of Quantum Cryptography over Noisy Channels
journal, September 1996
- Deutsch, David; Ekert, Artur; Jozsa, Richard
- Physical Review Letters, Vol. 77, Issue 13
Room temperature manipulation of long lifetime spins in metallic-like carbon nanospheres
journal, July 2016
- Náfrádi, Bálint; Choucair, Mohammad; Dinse, Klaus-Peter
- Nature Communications, Vol. 7, Issue 1
Quantum Computation with Trapped Polar Molecules
journal, January 2002
- DeMille, D.
- Physical Review Letters, Vol. 88, Issue 6
Molecular spins for quantum computation
journal, March 2019
- Gaita-Ariño, A.; Luis, F.; Hill, S.
- Nature Chemistry, Vol. 11, Issue 4
Accuracy of gates in a quantum computer based on vibrational eigenstates
journal, January 2004
- Babikov, Dmitri
- The Journal of Chemical Physics, Vol. 121, Issue 16
The Physical Implementation of Quantum Computation
journal, September 2000
- DiVincenzo, David P.
- Fortschritte der Physik, Vol. 48, Issue 9-11
Quantum computation with quantum dots
journal, January 1998
- Loss, Daniel; DiVincenzo, David P.
- Physical Review A, Vol. 57, Issue 1
Light-Harvesting and Ultrafast Energy Migration in Porphyrin-Based Metal–Organic Frameworks
journal, December 2012
- Son, Ho-Jin; Jin, Shengye; Patwardhan, Sameer
- Journal of the American Chemical Society, Vol. 135, Issue 2
Universal quantum gates between nitrogen-vacancy centers in a levitated nanodiamond
journal, February 2019
- Chen, Xing-Yan; Yin, Zhang-qi
- Physical Review A, Vol. 99, Issue 2
Excitons in Conjugated Oligomer Aggregates, Films, and Crystals
journal, May 2006
- Spano, Frank C.
- Annual Review of Physical Chemistry, Vol. 57, Issue 1
Frenkel exciton model of ultrafast excited state dynamics in AT DNA double helices
journal, August 2007
- Bittner, Eric R.
- Journal of Photochemistry and Photobiology A: Chemistry, Vol. 190, Issue 2-3
Modeling the effects of molecular disorder on the properties of Frenkel excitons in organic molecular semiconductors
journal, September 2018
- Shi, Liang; Willard, Adam P.
- The Journal of Chemical Physics, Vol. 149, Issue 9
Quantum computing using rotational modes of two polar molecules
journal, June 2009
- Mishima, K.; Yamashita, K.
- Chemical Physics, Vol. 361, Issue 1-2
Exciton dynamics in solid-state green fluorescent protein
journal, January 2017
- Dietrich, Christof P.; Siegert, Marie; Betzold, Simon
- Applied Physics Letters, Vol. 110, Issue 4
On the Transformation of light into Heat in Solids. I
journal, January 1931
- Frenkel, J.
- Physical Review, Vol. 37, Issue 1
Modeling the Influence of Correlated Molecular Disorder on the Dynamics of Excitons in Organic Molecular Semiconductors
journal, December 2018
- Lee, Chee Kong; Shi, Liang; Willard, Adam P.
- The Journal of Physical Chemistry C, Vol. 123, Issue 1
High Fidelity Quantum Gates with Vibrational Qubits
journal, August 2012
- Berrios, Eduardo; Gruebele, Martin; Shyshlov, Dmytro
- The Journal of Physical Chemistry A, Vol. 116, Issue 46
Photonic quantum information processing: a review
journal, November 2018
- Flamini, Fulvio; Spagnolo, Nicolò; Sciarrino, Fabio
- Reports on Progress in Physics, Vol. 82, Issue 1
Preparation and addressability of molecular vibrational qubit states in the presence of anharmonic resonance
journal, September 2003
- Troppmann, Ulrike; Tesch, Carmen M.; de Vivie-Riedle, Regina
- Chemical Physics Letters, Vol. 378, Issue 3-4
Temperature-dependent conformations of exciton-coupled Cy3 dimers in double-stranded DNA
journal, February 2018
- Kringle, Loni; Sawaya, Nicolas P. D.; Widom, Julia
- The Journal of Chemical Physics, Vol. 148, Issue 8
Quantum Computations with Cold Trapped Ions
journal, May 1995
- Cirac, J. I.; Zoller, P.
- Physical Review Letters, Vol. 74, Issue 20
Complexity and simplicity of optimal control theory pulses shaped for controlling vibrational qubits
journal, November 2012
- Shyshlov, Dmytro; Babikov, Dmitri
- The Journal of Chemical Physics, Vol. 137, Issue 19
Lessons from nature about solar light harvesting
journal, September 2011
- Scholes, Gregory D.; Fleming, Graham R.; Olaya-Castro, Alexandra
- Nature Chemistry, Vol. 3, Issue 10
Controlled exchange interaction between pairs of neutral atoms in an optical lattice
journal, July 2007
- Anderlini, Marco; Lee, Patricia J.; Brown, Benjamin L.
- Nature, Vol. 448, Issue 7152
Magnetic-field-dependent quantum emission in hexagonal boron nitride at room temperature
journal, January 2019
- Exarhos, Annemarie L.; Hopper, David A.; Patel, Raj N.
- Nature Communications, Vol. 10, Issue 1
Programmed coherent coupling in a synthetic DNA-based excitonic circuit
journal, November 2017
- Boulais, Étienne; Sawaya, Nicolas P. D.; Veneziano, Rémi
- Nature Materials, Vol. 17, Issue 2
Nitrogen-vacancy centers: Physics and applications
journal, February 2013
- Acosta, Victor; Hemmer, Philip
- MRS Bulletin, Vol. 38, Issue 2
Quantum information processing with superconducting circuits: a review
journal, September 2017
- Wendin, G.
- Reports on Progress in Physics, Vol. 80, Issue 10
The Theory of Molecular Excitons
journal, February 1964
- Davydov, A. S.
- Soviet Physics Uspekhi, Vol. 7, Issue 2