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Title: Analog Quantum Simulation of the Dynamics of Open Quantum Systems with Quantum Dots and Microelectronic Circuits

Abstract

We introduce a general setup for the analog quantum simulation of the dynamics of open quantum systems based on semiconductor quantum dots electrically connected to a chain of quantum RLC electronic circuits. The dots are chosen to be in the regime of spin-charge hybridization to enhance their sensitivity to the RLC circuits while mitigating the detrimental effects of unwanted noise. In this context, we establish an experimentally realizable map between the hybrid system and a qubit coupled to thermal harmonic environments of arbitrary complexity that enables the analog quantum simulation of open quantum systems. We assess the utility of the simulator by numerically exact emulations that indicate that the experimental setup can faithfully mimic the intended target even in the presence of its natural inherent noise. We further provide a detailed analysis of the physical requirements on the quantum dots and the RLC circuits needed to experimentally realize this proposal that indicates that the simulator can be created with existing technology. The approach can exactly capture the effects of highly structured non-Markovian quantum environments typical of photosynthesis and chemical dynamics, and offer clear potential advantages over conventional and even quantum computation. The proposal opens a general path for effective quantummore » dynamics simulations based on semiconductor quantum dots.« less

Authors:
ORCiD logo [1]; ORCiD logo [2];  [3]; ORCiD logo [2]
  1. University of Rochester, NY (United States); Chonnam National University, Gwangju (South Korea)
  2. University of Rochester, NY (United States)
  3. University of Rochester, NY (United States); Chapman University, Orange, CA (United States)
Publication Date:
Research Org.:
Univ. of Rochester, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)
OSTI Identifier:
2222851
Grant/Contract Number:  
SC0017890; CHE-2102386; CHE-1553939; DMR-2003287
Resource Type:
Accepted Manuscript
Journal Name:
PRX Quantum
Additional Journal Information:
Journal Volume: 3; Journal Issue: 4; Journal ID: ISSN 2691-3399
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Chemical Physics & Physical Chemistry; Circuit quantum electrodynamics; Open quantum systems; Quantum information with solid state qubits; Quantum simulation; Quantum dots

Citation Formats

Kim, Chang Woo, Nichol, John M., Jordan, Andrew N., and Franco, Ignacio. Analog Quantum Simulation of the Dynamics of Open Quantum Systems with Quantum Dots and Microelectronic Circuits. United States: N. p., 2022. Web. doi:10.1103/prxquantum.3.040308.
Kim, Chang Woo, Nichol, John M., Jordan, Andrew N., & Franco, Ignacio. Analog Quantum Simulation of the Dynamics of Open Quantum Systems with Quantum Dots and Microelectronic Circuits. United States. https://doi.org/10.1103/prxquantum.3.040308
Kim, Chang Woo, Nichol, John M., Jordan, Andrew N., and Franco, Ignacio. Mon . "Analog Quantum Simulation of the Dynamics of Open Quantum Systems with Quantum Dots and Microelectronic Circuits". United States. https://doi.org/10.1103/prxquantum.3.040308. https://www.osti.gov/servlets/purl/2222851.
@article{osti_2222851,
title = {Analog Quantum Simulation of the Dynamics of Open Quantum Systems with Quantum Dots and Microelectronic Circuits},
author = {Kim, Chang Woo and Nichol, John M. and Jordan, Andrew N. and Franco, Ignacio},
abstractNote = {We introduce a general setup for the analog quantum simulation of the dynamics of open quantum systems based on semiconductor quantum dots electrically connected to a chain of quantum RLC electronic circuits. The dots are chosen to be in the regime of spin-charge hybridization to enhance their sensitivity to the RLC circuits while mitigating the detrimental effects of unwanted noise. In this context, we establish an experimentally realizable map between the hybrid system and a qubit coupled to thermal harmonic environments of arbitrary complexity that enables the analog quantum simulation of open quantum systems. We assess the utility of the simulator by numerically exact emulations that indicate that the experimental setup can faithfully mimic the intended target even in the presence of its natural inherent noise. We further provide a detailed analysis of the physical requirements on the quantum dots and the RLC circuits needed to experimentally realize this proposal that indicates that the simulator can be created with existing technology. The approach can exactly capture the effects of highly structured non-Markovian quantum environments typical of photosynthesis and chemical dynamics, and offer clear potential advantages over conventional and even quantum computation. The proposal opens a general path for effective quantum dynamics simulations based on semiconductor quantum dots.},
doi = {10.1103/prxquantum.3.040308},
journal = {PRX Quantum},
number = 4,
volume = 3,
place = {United States},
year = {Mon Oct 17 00:00:00 EDT 2022},
month = {Mon Oct 17 00:00:00 EDT 2022}
}

Works referenced in this record:

Theory of dissipation pathways in open quantum systems
journal, February 2021

  • Kim, Chang Woo; Franco, Ignacio
  • The Journal of Chemical Physics, Vol. 154, Issue 8
  • DOI: 10.1063/5.0038967

Surpassing the Resistance Quantum with a Geometric Superinductor
journal, October 2020


Universal quantum logic in hot silicon qubits
journal, April 2020


Inchworm Monte Carlo for exact non-adiabatic dynamics. I. Theory and algorithms
journal, February 2017

  • Chen, Hsing-Ta; Cohen, Guy; Reichman, David R.
  • The Journal of Chemical Physics, Vol. 146, Issue 5
  • DOI: 10.1063/1.4974328

Mechanically Activated Molecular Switch through Single-Molecule Pulling
journal, February 2011

  • Franco, Ignacio; George, Christopher B.; Solomon, Gemma C.
  • Journal of the American Chemical Society, Vol. 133, Issue 7
  • DOI: 10.1021/ja1095396

Quantum algorithm for simulating the dynamics of an open quantum system
journal, June 2011


Charge Noise Spectroscopy Using Coherent Exchange Oscillations in a Singlet-Triplet Qubit
journal, April 2013


Electronic structure of quantum dots
journal, November 2002


Study of loss in superconducting coplanar waveguide resonators
journal, March 2011

  • Sage, Jeremy M.; Bolkhovsky, Vladimir; Oliver, William D.
  • Journal of Applied Physics, Vol. 109, Issue 6
  • DOI: 10.1063/1.3552890

Generalized Impact-Parameter Method for Low-Energy Molecular Collisions
journal, September 1971


Emulation of complex open quantum systems using superconducting qubits
journal, December 2016

  • Mostame, Sarah; Huh, Joonsuk; Kreisbeck, Christoph
  • Quantum Information Processing, Vol. 16, Issue 2
  • DOI: 10.1007/s11128-016-1489-3

Quantum-Dot-Based Resonant Exchange Qubit
journal, July 2013


Quantum simulation
journal, March 2014


Bosonization of a two-level system with dissipation
journal, October 1985


Quantum simulation of a Fermi–Hubbard model using a semiconductor quantum dot array
journal, August 2017


Coupling two spin qubits with a high-impedance resonator
journal, June 2018


Numerically “exact” approach to open quantum dynamics: The hierarchical equations of motion (HEOM)
journal, July 2020

  • Tanimura, Yoshitaka
  • The Journal of Chemical Physics, Vol. 153, Issue 2
  • DOI: 10.1063/5.0011599

Lessons on electronic decoherence in molecules from exact modeling
journal, April 2018

  • Hu, Wenxiang; Gu, Bing; Franco, Ignacio
  • The Journal of Chemical Physics, Vol. 148, Issue 13
  • DOI: 10.1063/1.5004578

Communication: Padé spectrum decomposition of Fermi function and Bose function
journal, September 2010

  • Hu, Jie; Xu, Rui-Xue; Yan, YiJing
  • The Journal of Chemical Physics, Vol. 133, Issue 10
  • DOI: 10.1063/1.3484491

Generalized Theory for the Timescale of Molecular Electronic Decoherence in the Condensed Phase
journal, February 2018


Vibronic coupling in organic semiconductors for photovoltaics
journal, January 2017

  • De Sio, Antonietta; Lienau, Christoph
  • Physical Chemistry Chemical Physics, Vol. 19, Issue 29
  • DOI: 10.1039/C7CP03007J

Nonperturbative expansion method for a quantum system coupled to a harmonic-oscillator bath
journal, June 1990


Hyperbolic lattices in circuit quantum electrodynamics
journal, July 2019


Efficient quantum simulation of photosynthetic light harvesting
journal, October 2018


Analog quantum simulation of chemical dynamics
journal, January 2021

  • MacDonell, Ryan J.; Dickerson, Claire E.; Birch, Clare J. T.
  • Chemical Science, Vol. 12, Issue 28
  • DOI: 10.1039/D1SC02142G

Practical quantum advantage in quantum simulation
journal, July 2022


Single-shot read-out of an individual electron spin in a quantum dot
journal, July 2004

  • Elzerman, J. M.; Hanson, R.; Willems van Beveren, L. H.
  • Nature, Vol. 430, Issue 6998
  • DOI: 10.1038/nature02693

Quadrupolar Exchange-Only Spin Qubit
journal, October 2018


Quantum computational chemistry
journal, March 2020


Operation of a silicon quantum processor unit cell above one kelvin
journal, April 2020


Coherent Operations and Screening in Multielectron Spin Qubits
journal, January 2014


Pauli spin blockade in undoped Si/SiGe two-electron double quantum dots
journal, August 2011

  • Borselli, M. G.; Eng, K.; Croke, E. T.
  • Applied Physics Letters, Vol. 99, Issue 6
  • DOI: 10.1063/1.3623479

The Linear Response Approximation and Its Lowest Order Corrections:  An Influence Functional Approach
journal, April 1999

  • Makri, Nancy
  • The Journal of Physical Chemistry B, Vol. 103, Issue 15
  • DOI: 10.1021/jp9847540

Spins in few-electron quantum dots
journal, October 2007


Synthesizing arbitrary quantum states in a superconducting resonator
journal, May 2009


Performance of a quantum heat engine at strong reservoir coupling
journal, March 2017


Ultrastrong coupling between light and matter
journal, January 2019

  • Frisk Kockum, Anton; Miranowicz, Adam; De Liberato, Simone
  • Nature Reviews Physics, Vol. 1, Issue 1
  • DOI: 10.1038/s42254-018-0006-2

First-principles time-dependent quantum transport theory
journal, February 2013


Extreme Parametric Sensitivity in the Steady-State Photoisomerization of Two-Dimensional Model Rhodopsin
journal, April 2021


Beyond Strong Coupling in a Multimode Cavity
journal, June 2015


Universal quantum control of two-electron spin quantum bits using dynamic nuclear polarization
journal, October 2009

  • Foletti, Sandra; Bluhm, Hendrik; Mahalu, Diana
  • Nature Physics, Vol. 5, Issue 12
  • DOI: 10.1038/nphys1424

Conditional teleportation of quantum-dot spin states
journal, June 2020

  • Qiao, Haifeng; Kandel, Yadav P.; Manikandan, Sreenath K.
  • Nature Communications, Vol. 11, Issue 1
  • DOI: 10.1038/s41467-020-16745-0

Frenkel–Holstein Hamiltonian applied to absorption spectra of quaterthiophene-based 2D hybrid organic–inorganic perovskites
journal, April 2020

  • Janke, Svenja M.; Qarai, Mohammad B.; Blum, Volker
  • The Journal of Chemical Physics, Vol. 152, Issue 14
  • DOI: 10.1063/1.5139044

A silicon metal-oxide-semiconductor electron spin-orbit qubit
journal, May 2018

  • Jock, Ryan M.; Jacobson, N. Tobias; Harvey-Collard, Patrick
  • Nature Communications, Vol. 9, Issue 1
  • DOI: 10.1038/s41467-018-04200-0

Expanded Theory of H- and J-Molecular Aggregates: The Effects of Vibronic Coupling and Intermolecular Charge Transfer
journal, April 2018


Microscopic theory of singlet exciton fission. II. Application to pentacene dimers and the role of superexchange
journal, March 2013

  • Berkelbach, Timothy C.; Hybertsen, Mark S.; Reichman, David R.
  • The Journal of Chemical Physics, Vol. 138, Issue 11
  • DOI: 10.1063/1.4794427

Granular aluminium as a superconducting material for high-impedance quantum circuits
journal, April 2019


Two-State, Three-Mode Parametrization of the Force Field of a Retinal Chromophore Model
journal, February 2019

  • Marsili, Emanuele; Farag, Marwa H.; Yang, Xuchun
  • The Journal of Physical Chemistry A, Vol. 123, Issue 9
  • DOI: 10.1021/acs.jpca.8b10010

Impact of Electronic Fluctuations and Their Description on the Exciton Dynamics in the Light-Harvesting Complex PE545
journal, February 2017

  • Aghtar, Mortaza; Kleinekathöfer, Ulrich; Curutchet, Carles
  • The Journal of Physical Chemistry B, Vol. 121, Issue 6
  • DOI: 10.1021/acs.jpcb.6b10772

High-fidelity singlet-triplet S T qubits in inhomogeneous magnetic fields
journal, July 2015


Shuttling a single charge across a one-dimensional array of silicon quantum dots
journal, March 2019


Extending the applicability of Redfield theories into highly non-Markovian regimes
journal, November 2015

  • Montoya-Castillo, Andrés; Berkelbach, Timothy C.; Reichman, David R.
  • The Journal of Chemical Physics, Vol. 143, Issue 19
  • DOI: 10.1063/1.4935443

Efficient non-Markovian quantum dynamics using time-evolving matrix product operators
journal, August 2018


Time-dependent density functional theory for quantum transport
journal, September 2010

  • Zheng, Xiao; Chen, GuanHua; Mo, Yan
  • The Journal of Chemical Physics, Vol. 133, Issue 11
  • DOI: 10.1063/1.3475566

Quantum-Mechanical Modeling of the Femtosecond Isomerization in Rhodopsin
journal, February 2000

  • Hahn, Susanne; Stock, Gerhard
  • The Journal of Physical Chemistry B, Vol. 104, Issue 6
  • DOI: 10.1021/jp992939g

When can quantum decoherence be mimicked by classical noise?
journal, July 2019

  • Gu, Bing; Franco, Ignacio
  • The Journal of Chemical Physics, Vol. 151, Issue 1
  • DOI: 10.1063/1.5099499

Non-adiabatic Excited-State Molecular Dynamics: Theory and Applications for Modeling Photophysics in Extended Molecular Materials
journal, February 2020


Quantum simulation of the spin-boson model with a microwave circuit
journal, May 2018


Multilayer Multiconfiguration Time-Dependent Hartree Theory
journal, June 2015


Efficient and Deterministic Propagation of Mixed Quantum-Classical Liouville Dynamics
journal, June 2018


Real-Time Evolution Using the Density Matrix Renormalization Group
journal, August 2004


How Proteins Trigger Excitation Energy Transfer in the FMO Complex of Green Sulfur Bacteria
journal, October 2006


On the Shape of the Phonon Spectral Density in Photosynthetic Complexes
journal, June 2013

  • Kell, Adam; Feng, Ximao; Reppert, Mike
  • The Journal of Physical Chemistry B, Vol. 117, Issue 24
  • DOI: 10.1021/jp405094p

Coherent singlet-triplet oscillations in a silicon-based double quantum dot
journal, January 2012

  • Maune, B. M.; Borselli, M. G.; Huang, B.
  • Nature, Vol. 481, Issue 7381
  • DOI: 10.1038/nature10707

Coherent Manipulation of Coupled Electron Spins in Semiconductor Quantum Dots
journal, September 2005


Dynamics of the dissipative two-state system
journal, January 1987

  • Leggett, A. J.; Chakravarty, S.; Dorsey, A. T.
  • Reviews of Modern Physics, Vol. 59, Issue 1
  • DOI: 10.1103/RevModPhys.59.1

Quantum Dot Systems: a versatile platform for quantum simulations
journal, September 2013

  • Barthelemy, Pierre; Vandersypen, Lieven M. K.
  • Annalen der Physik, Vol. 525, Issue 10-11
  • DOI: 10.1002/andp.201300124

A quantum algorithm for evolving open quantum dynamics on quantum computing devices
journal, February 2020


Bias‐Polarity‐Dependent Direct and Inverted Marcus Charge Transport Affecting Rectification in a Redox‐Active Molecular Junction
journal, June 2021

  • Han, Yingmei; Nickle, Cameron; Maglione, Maria Serena
  • Advanced Science, Vol. 8, Issue 14
  • DOI: 10.1002/advs.202100055

Long-Lived Electronic Coherence in Dissipative Exciton Dynamics of Light-Harvesting Complexes
journal, September 2012

  • Kreisbeck, Christoph; Kramer, Tobias
  • The Journal of Physical Chemistry Letters, Vol. 3, Issue 19
  • DOI: 10.1021/jz3012029

Modelling chemical reactions using semiconductor quantum dots
journal, November 2007


Studies of polaron motion
journal, November 1959


Resource-efficient digital quantum simulation of d-level systems for photonic, vibrational, and spin-s Hamiltonians
journal, June 2020


Granular Aluminum Meandered Superinductors for Quantum Circuits
journal, May 2020


The multi-configurational time-dependent Hartree approach
journal, January 1990


Coherent exciton-vibrational dynamics and energy transfer in conjugated organics
journal, June 2018

  • Nelson, Tammie R.; Ondarse-Alvarez, Dianelys; Oldani, Nicolas
  • Nature Communications, Vol. 9, Issue 1
  • DOI: 10.1038/s41467-018-04694-8

Light-field control of real and virtual charge carriers
journal, May 2022


Quantum simulator of an open quantum system using superconducting qubits: exciton transport in photosynthetic complexes
journal, October 2012


Studying light-harvesting models with superconducting circuits
journal, March 2018

  • Potočnik, Anton; Bargerbos, Arno; Schröder, Florian A. Y. N.
  • Nature Communications, Vol. 9, Issue 1
  • DOI: 10.1038/s41467-018-03312-x

Coherent spin-state transfer via Heisenberg exchange
journal, September 2019


Computer-automated tuning procedures for semiconductor quantum dot arrays
journal, September 2019

  • Mills, A. R.; Feldman, M. M.; Monical, C.
  • Applied Physics Letters, Vol. 115, Issue 11
  • DOI: 10.1063/1.5121444

Experimental Evidence for Quantum Interference and Vibrationally Induced Decoherence in Single-Molecule Junctions
journal, July 2012


Environment-Assisted Quantum Transport in a 10-qubit Network
journal, February 2019


Quantum Simulation of Generic Many-Body Open System Dynamics Using Classical Noise
journal, April 2017


Efficient Simulation of Finite-Temperature Open Quantum Systems
journal, August 2019


Charge-noise spectroscopy of Si/SiGe quantum dots via dynamically-decoupled exchange oscillations
journal, February 2022


High-Kinetic-Inductance Superconducting Nanowire Resonators for Circuit QED in a Magnetic Field
journal, April 2016


Introduction to Mesoscopic Electron Transport
book, January 1997


Local protein solvation drives direct down-conversion in phycobiliprotein PC645 via incoherent vibronic transport
journal, March 2018

  • Blau, Samuel M.; Bennett, Doran I. G.; Kreisbeck, Christoph
  • Proceedings of the National Academy of Sciences, Vol. 115, Issue 15
  • DOI: 10.1073/pnas.1800370115

Goals and opportunities in quantum simulation
journal, April 2012

  • Cirac, J. Ignacio; Zoller, Peter
  • Nature Physics, Vol. 8, Issue 4
  • DOI: 10.1038/nphys2275

Semiclassical theory of electronically nonadiabatic dynamics: Results of a linearized approximation to the initial value representation
journal, November 1998

  • Sun, Xiong; Wang, Haobin; Miller, William H.
  • The Journal of Chemical Physics, Vol. 109, Issue 17
  • DOI: 10.1063/1.477389

Excited state energy fluctuations in the Fenna–Matthews–Olson complex from molecular dynamics simulations with interpolated chromophore potentials
journal, January 2018

  • Kim, Chang Woo; Choi, Bongsik; Rhee, Young Min
  • Physical Chemistry Chemical Physics, Vol. 20, Issue 5
  • DOI: 10.1039/C7CP06303B

Quantum Simulation of Dissipative Processes without Reservoir Engineering
journal, May 2015

  • Di Candia, R.; Pedernales, J. S.; del Campo, A.
  • Scientific Reports, Vol. 5, Issue 1
  • DOI: 10.1038/srep09981

Coherent Charge Transfer Exciton Formation in Regioregular P3HT: A Quantum Dynamical Study
journal, May 2019

  • Popp, Wjatscheslaw; Polkehn, Matthias; Binder, Robert
  • The Journal of Physical Chemistry Letters, Vol. 10, Issue 12
  • DOI: 10.1021/acs.jpclett.9b01105

Prospects for Spin-Based Quantum Computing in Quantum Dots
journal, April 2013