Enrico Prati

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All published works
Action Title Year Authors
+ PDF Chat Quantum data encoding as a distinct abstraction layer in the design of quantum circuits 2025 Gabriele Agliardi
Enrico Prati
+ Simulation of a Three‐Nucleons System Transition on Quantum Circuits 2024 Luciano Nigro
C. Barbieri
Enrico Prati
+ Quantum machine learning algorithms for anomaly detection: A review 2024 Sebastiano Corli
Lorenzo Moro
Daniele Dragoni
Massimiliano Dispenza
Enrico Prati
+ PDF Chat Measurement-Based Quantum Compiling via Gauge Invariance 2024 Sebastiano Corli
Enrico Prati
+ PDF Chat Quantum data encoding as a distinct abstraction layer in the design of quantum circuits 2024 Gabriele Agliardi
Enrico Prati
+ PDF Chat Leveraging non-unital noise for gate-based quantum reservoir computing 2024 Fabio Monzani
E. Ricci
Luciano Nigro
Enrico Prati
+ PDF Chat Quantum Machine Learning Algorithms for Anomaly Detection: a Survey 2024 Sebastiano Corli
Lorenzo Moro
Daniele Dragoni
Massimiliano Dispenza
Enrico Prati
+ PDF Chat A Tutorial on the Use of Physics-Informed Neural Networks to Compute the Spectrum of Quantum Systems 2024 Lorenzo Brevi
Antonio Mandarino
Enrico Prati
+ PDF Chat Addressing the Non-perturbative Regime of the Quantum Anharmonic Oscillator by Physics-Informed Neural Networks 2024 Lorenzo Brevi
Antonio Mandarino
Enrico Prati
+ PDF Chat Universality conditions of unified classical and quantum reservoir computing 2024 Fabio Monzani
Enrico Prati
+ PDF Chat Optimization of the memory reset rate of a quantum echo-state network for time sequential tasks 2023 Riccardo Molteni
C. Destri
Enrico Prati
+ PDF Chat Optimized Compiler for Distributed Quantum Computing 2023 Daniele Cuomo
Marcello Caleffi
Kevin Krsulich
F. Tramonto
Gabriele Agliardi
Enrico Prati
Angela Sara Cacciapuoti
+ PDF Chat An efficient algebraic representation for graph states for measurement-based quantum computing 2022 Sebastiano Corli
Enrico Prati
+ PDF Chat Quantum integration of elementary particle processes 2022 Gabriele Agliardi
Michele Grossi
Mathieu Pellen
Enrico Prati
+ PDF Chat Multi-class quantum classifiers with tensor network circuits for quantum phase recognition 2022 Marco Lazzarin
D. E. Galli
Enrico Prati
+ Quantum activation functions for quantum neural networks 2022 Marco Maronese
C. Destri
Enrico Prati
+ Optimization of the Memory Reset Rate of a Quantum Echo-State Network for Time Sequential Tasks 2022 Riccardo Molteni
C. Destri
Enrico Prati
+ An efficient algebraic representation for graph states for measurement-based quantum computing 2022 Sebastiano Corli
Enrico Prati
+ Quantum Compiling 2021 Marco Maronese
Marco Maronese
Lorenzo Rocutto
Lorenzo Rocutto
Enrico Prati
+ PDF Chat Cryogenic characterization and modeling of a CMOS floating-gate device for quantum control hardware 2021 Michele Castriotta
Enrico Prati
Giorgio Ferrari
+ PDF Chat Solving Rubik’s cube via quantum mechanics and deep reinforcement learning 2021 Sebastiano Corli
Lorenzo Del Moro
D. E. Galli
Enrico Prati
+ PDF Chat Quantum compiling by deep reinforcement learning 2021 Lorenzo Del Moro
Matteo G. A. Paris
Marcello Restelli
Enrico Prati
+ Quantum Compiling by Deep Reinforcement Learning 2021 Lorenzo Del Moro
Matteo G. A. Paris
Marcello Restelli
Enrico Prati
+ PDF Chat Position‐Controlled Functionalization of Vacancies in Silicon by Single‐Ion Implanted Germanium Atoms 2021 Simona Achilli
Nguyen H. Le
Guido Fratesi
Nicola Manini
Giovanni Onida
Marco Turchetti
Giorgio Ferrari
Takahiro Shinada
Takashi Tanii
Enrico Prati
+ Optimized compiler for Distributed Quantum Computing 2021 Daniele Cuomo
Marcello Caleffi
Kevin Krsulich
F. Tramonto
Gabriele Agliardi
Enrico Prati
Angela Sara Cacciapuoti
+ Position-controlled functionalization of vacancies in silicon by single-ion implanted germanium atoms 2021 Simona Achilli
Nguyen H. Le
Guido Fratesi
Nicola Manini
Giovanni Onida
Marco Turchetti
Giorgio Ferrari
Takahiro Shinada
Takashi Tanii
Enrico Prati
+ Quantum Compiling 2021 Marco Maronese
Lorenzo Moro
Lorenzo Rocutto
Enrico Prati
+ PDF Chat Quantum Semantic Learning by Reverse Annealing of an Adiabatic Quantum Computer 2020 Lorenzo Rocutto
C. Destri
Enrico Prati
+ PDF Chat Observation of single phonon-mediated quantum transport in a silicon single-electron CMOS single-atom transistor by RMS noise analysis 2020 Stefano Bigoni
M. L. V. Tagliaferri
Dario Tamascelli
Sebastiano Strangio
Roberto Bez
Paolo Organtini
Giorgio Ferrari
Enrico Prati
+ Quantum Semantic Learning by Reverse Annealing an Adiabatic Quantum Computer 2020 Lorenzo Rocutto
C. Destri
Enrico Prati
+ PDF Chat Is all-electrical silicon quantum computing feasible in the long term? 2020 Elena Ferraro
Enrico Prati
+ Quantum Semantic Learning by Reverse Annealing an Adiabatic Quantum Computer 2020 Lorenzo Rocutto
C. Destri
Enrico Prati
+ PDF Chat Coherent transport of quantum states by deep reinforcement learning 2019 Riccardo Porotti
Dario Tamascelli
Marcello Restelli
Enrico Prati
+ PDF Chat GeVn complexes for silicon-based room-temperature single-atom nanoelectronics 2018 Simona Achilli
Nicola Manini
Giovanni Onida
Takahiro Shinada
Takashi Tanii
Enrico Prati
+ GeVn complexes for silicon-based room-temperature single-atom nanoelectronics 2018 Simona Achilli
Nicola Manini
Giovanni Onida
Takahiro Shinada
Takashi Tanii
Enrico Prati
+ PDF Chat 154 ÎŒm photoluminescence from Er:O_x centers at extremely low concentration in silicon at 300 K 2017 Michele Celebrano
Lavinia Ghirardini
Marco Finazzi
Yasuo Shimizu
Yuan Tu
Koji Inoue
Yasuyoshi Nagai
Takahiro Shinada
Yuki Chiba
Ayman Abdelghafar
+ PDF Chat Quantum information density scaling and qubit operation time constraints of CMOS silicon-based quantum computer architectures 2017 Davide Rotta
Fabio Sebastiano
Edoardo Charbon
Enrico Prati
+ Quantum information density scaling and qubit operation time constraints of CMOS silicon based quantum computer architectures 2017 Davide Rotta
Fabio Sebastiano
Edoardo Charbon
Enrico Prati
+ PDF Chat A reconfigurable cryogenic platform for the classical control of quantum processors 2017 Harald Homulle
Stefan Visser
Bishnu Patra
Giorgio Ferrari
Enrico Prati
Fabio Sebastiano
Edoardo Charbon
+ Control of the Correlation of Spontaneous Neuron Activity in Biological and Noise-activated CMOS Artificial Neural Microcircuits. 2017 Ramin Hasani
Giorgio Ferrari
Hideaki Yamamoto
Sho Kono
Koji Ishihara
Soya Fujimori
Takashi Tanii
Enrico Prati
+ Control of the Correlation of Spontaneous Neuron Activity in Biological and Noise-activated CMOS Artificial Neural Microcircuits 2017 Ramin Hasani
Giorgio Ferrari
Hideaki Yamamoto
Sho Kono
Koji Ishihara
Soya Fujimori
Takashi Tanii
Enrico Prati
+ Quantum information density scaling and qubit operation time constraints of CMOS silicon based quantum computer architectures 2017 Davide Rotta
Fabio Sebastiano
Edoardo Charbon
Enrico Prati
+ PDF Chat Maximum density of quantum information in a scalable CMOS implementation of the hybrid qubit architecture 2016 Davide Rotta
Marco De Michielis
Elena Ferraro
M. Fanciulli
Enrico Prati
+ PDF Chat Atomic scale nanoelectronics for quantum neuromorphic devices: comparing different materials 2016 Enrico Prati
+ PDF Chat Valley blockade and multielectron spin-valley Kondo effect in silicon 2015 Alessandro Crippa
M. L. V. Tagliaferri
Davide Rotta
Marco De Michielis
G. Mazzeo
M. Fanciulli
R. Wacquez
M. Vinet
Enrico Prati
+ PDF Chat Coherent tunneling by adiabatic passage of an exchange-only spin qubit in a double quantum dot chain 2015 Elena Ferraro
Marco De Michielis
M. Fanciulli
Enrico Prati
+ PDF Chat Universal set of quantum gates for double-dot exchange-only spin qubits with intradot coupling 2015 Marco De Michielis
Elena Ferraro
M. Fanciulli
Enrico Prati
+ PDF Chat Effective Hamiltonian for two interacting double-dot exchange-only qubits and their controlled-NOT operations 2014 Elena Ferraro
Marco De Michielis
M. Fanciulli
Enrico Prati
+ Maximum density of quantum information in a scalable CMOS implementation of the hybrid qubit architecture 2014 Davide Rotta
Marco De Michielis
Elena Ferraro
M. Fanciulli
Enrico Prati
+ PDF Chat Effective Hamiltonian for the hybrid double quantum dot qubit 2014 Elena Ferraro
Marco De Michielis
G. Mazzeo
M. Fanciulli
Enrico Prati
+ Maximum density of quantum information in a scalable CMOS implementation of the hybrid qubit architecture 2014 Davide Rotta
Marco De Michielis
Elena Ferraro
M. Fanciulli
Enrico Prati
+ PDF Chat Charge dynamics of a single donor coupled to a few-electron quantum dot in silicon 2012 G. Mazzeo
Enrico Prati
Matteo Belli
Guillaume Leti
S. Cocco
M. Fanciulli
F. Guagliardo
Giorgio Ferrari
+ PDF Chat Few electron limit of n-type metal oxide semiconductor single electron transistors 2012 Enrico Prati
Marco De Michielis
Matteo Belli
S. Cocco
M. Fanciulli
Dharmraj Kotekar‐Patil
Matthias Ruoff
D. P. Kern
D. Wharam
J. Verduijn
+ Valley blockade quantum switching in Silicon nanostructures 2012 Enrico Prati
+ Valley blockade quantum switching in Silicon nanostructures 2012 Enrico Prati
+ PDF Chat Valley Blockade Quantum Switching in Silicon Nanostructures 2011 Enrico Prati
+ Generalized clocks in timeless canonical formalism 2011 Enrico Prati
+ PDF Chat Adiabatic charge control in a single donor atom transistor 2011 Enrico Prati
Matteo Belli
S. Cocco
Guido Petretto
M. Fanciulli
+ PDF Chat Measuring the temperature of a mesoscopic electron system by means of single electron statistics 2010 Enrico Prati
Matteo Belli
M. Fanciulli
Giorgio Ferrari
+ PDF Chat The finite quantum grand canonical ensemble and temperature from single-electron statistics for a mesoscopic device 2010 Enrico Prati
+ PDF Chat Compact silicon double and triple dots realized with only two gates 2009 M. Pierre
R. Wacquez
B. Roche
X. Jehl
M. Sanquer
M. Vinet
Enrico Prati
Matteo Belli
M. Fanciulli
+ PDF Chat Microwave-assisted transport in a single-donor silicon quantum dot 2009 Enrico Prati
R. Latempa
M. Fanciulli
+ Microwave Effects in a Silicon Single Donor Quantum Dot 2008 Enrico Prati
R. Latempa
M. Fanciulli
+ PDF Chat Effect of microwave irradiation on the emission and capture dynamics in silicon metal oxide semiconductor field effect transistors 2008 Enrico Prati
M. Fanciulli
Alessandro Calderoni
Giorgio Ferrari
M. Sampietro
+ PDF Chat Time Dependent Inelastic Emission and Capture of Localized Electrons in Si n-MOSFETs Under Microwave Irradiation 2007 Enrico Prati
M. Fanciulli
Alessandro Calderoni
Giorgio Ferrari
M. Sampietro
+ PDF Chat Microwave irradiation effects on random telegraph signal in a MOSFET 2007 Enrico Prati
M. Fanciulli
Alessandro Calderoni
Giorgio Ferrari
M. Sampietro
+ PDF Chat Effect of the triplet state on the random telegraph signal in Si<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>n</mml:mi></mml:math>-MOSFETs 2006 Enrico Prati
M. Fanciulli
Giorgio Ferrari
M. Sampietro
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ PDF Chat Effective Hamiltonian for the hybrid double quantum dot qubit 2014 Elena Ferraro
Marco De Michielis
G. Mazzeo
M. Fanciulli
Enrico Prati
9
+ PDF Chat Quantum computation with quantum dots 1998 Daniel Loss
David P. DiVincenzo
9
+ PDF Chat Few electron limit of n-type metal oxide semiconductor single electron transistors 2012 Enrico Prati
Marco De Michielis
Matteo Belli
S. Cocco
M. Fanciulli
Dharmraj Kotekar‐Patil
Matthias Ruoff
D. P. Kern
D. Wharam
J. Verduijn
9
+ PDF Chat Electron-spin-resonance transistors for quantum computing in silicon-germanium heterostructures 2000 R. B. Vrijen
Eli Yablonovitch
Kang Wang
Hong Wen Jiang
A. A. Balandin
Vwani Roychowdhury
Tal Mor
David P. DiVincenzo
9
+ PDF Chat Driven coherent oscillations of a single electron spin in a quantum dot 2006 Frank H. L. Koppens
Christo Buizert
Klaas‐Jan Tielrooij
I. T. Vink
Katja C. Nowack
Tristan Meunier
Leo P. Kouwenhoven
L. M. K. Vandersypen
8
+ PDF Chat Fast Hybrid Silicon Double-Quantum-Dot Qubit 2012 Zhan Shi
C. B. Simmons
J. R. Prance
John King Gamble
Teck Seng Koh
Yun-Pil Shim
Xuedong Hu
D. E. Savage
M. G. Lagally
M. A. Eriksson
8
+ PDF Chat Quantum information density scaling and qubit operation time constraints of CMOS silicon-based quantum computer architectures 2017 Davide Rotta
Fabio Sebastiano
Edoardo Charbon
Enrico Prati
8
+ PDF Chat Charge dynamics of a single donor coupled to a few-electron quantum dot in silicon 2012 G. Mazzeo
Enrico Prati
Matteo Belli
Guillaume Leti
S. Cocco
M. Fanciulli
F. Guagliardo
Giorgio Ferrari
7
+ PDF Chat Coherent tunneling by adiabatic passage of an exchange-only spin qubit in a double quantum dot chain 2015 Elena Ferraro
Marco De Michielis
M. Fanciulli
Enrico Prati
7
+ PDF Chat Microwave irradiation effects on random telegraph signal in a MOSFET 2007 Enrico Prati
M. Fanciulli
Alessandro Calderoni
Giorgio Ferrari
M. Sampietro
7
+ Quantum control and process tomography of a semiconductor quantum dot hybrid qubit 2014 Dohun Kim
Zhan Shi
C. B. Simmons
Daniel R. Ward
J. R. Prance
Teck Seng Koh
John King Gamble
D. E. Savage
M. G. Lagally
Mark Friesen
7
+ PDF Chat Effect of the triplet state on the random telegraph signal in Si<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>n</mml:mi></mml:math>-MOSFETs 2006 Enrico Prati
M. Fanciulli
Giorgio Ferrari
M. Sampietro
7
+ PDF Chat Compact silicon double and triple dots realized with only two gates 2009 M. Pierre
R. Wacquez
B. Roche
X. Jehl
M. Sanquer
M. Vinet
Enrico Prati
Matteo Belli
M. Fanciulli
7
+ PDF Chat Universal set of quantum gates for double-dot exchange-only spin qubits with intradot coupling 2015 Marco De Michielis
Elena Ferraro
M. Fanciulli
Enrico Prati
7
+ PDF Chat Single-shot readout of an electron spin in silicon 2010 Andrea Morello
J. Jarryd
Floris A. Zwanenburg
K. W. Chan
Kuan Yen Tan
Hans Huebl
Mikko Möttönen
Christopher Nugroho
Changyi Yang
Jessica A. van Donkelaar
7
+ PDF Chat Universal quantum computation with the exchange interaction 2000 David P. DiVincenzo
Dave Bacon
Julia Kempe
Guido Burkard
K. Birgitta Whaley
7
+ PDF Chat Is all-electrical silicon quantum computing feasible in the long term? 2020 Elena Ferraro
Enrico Prati
6
+ PDF Chat Coherent transport of quantum states by deep reinforcement learning 2019 Riccardo Porotti
Dario Tamascelli
Marcello Restelli
Enrico Prati
6
+ PDF Chat Electron spin coherence exceeding seconds in high-purity silicon 2011 Alexei M. Tyryshkin
S. Tojo
John J. L. Morton
H. Riemann
Nikolai V. Abrosimov
Peter Becker
Hans-Joachim Pohl
T. Schenkel
M. L. W. Thewalt
Kohei M. Itoh
5
+ PDF Chat Quantum Semantic Learning by Reverse Annealing of an Adiabatic Quantum Computer 2020 Lorenzo Rocutto
C. Destri
Enrico Prati
5
+ PDF Chat Single-donor ionization energies in a nanoscale CMOS channel 2009 M. Pierre
R. Wacquez
X. Jehl
M. Sanquer
M. Vinet
O. Cueto
5
+ PDF Chat Transport Spectroscopy of Single Phosphorus Donors in a Silicon Nanoscale Transistor 2009 Kuan Yen Tan
K. W. Chan
Mikko Möttönen
Andrea Morello
Changyi Yang
Jessica van Donkelaar
Andrew Alves
J.-M. Pirkkalainen
D.N. Jamieson
Robert G. Clark
5
+ PDF Chat Coherent electronic transfer in quantum dot systems using adiabatic passage 2004 Andrew D. Greentree
Jared H. Cole
A. R. Hamilton
Lloyd C. L. Hollenberg
5
+ PDF Chat Measurement-based adaptation protocol with quantum reinforcement learning 2018 F. AlbarrĂĄn-Arriagada
J. C. Retamal
E. Solano
Lucas Lamata
5
+ PDF Chat Demonstration of Entanglement of Electrostatically Coupled Singlet-Triplet Qubits 2012 Michael Shulman
Oliver Dial
Shannon P. Harvey
Hendrik Bluhm
V. Umansky
Amir Yacoby
5
+ PDF Chat Quantum error correction for beginners 2013 Simon J. Devitt
William J. Munro
Kae Nemoto
5
+ PDF Chat Transport Spectroscopy of a Single Dopant in a Gated Silicon Nanowire 2006 H. Sellier
G. P. Lansbergen
J. Caro
Sven Rogge
N. Collaert
I. Ferain
M. Jurczak
S. Biesemans
5
+ PDF Chat Practical design and simulation of silicon-based quantum-dot qubits 2003 Mark Friesen
P. Rugheimer
D. E. Savage
M. G. Lagally
Daniel W. van der Weide
Robert Joynt
M. A. Eriksson
5
+ PDF Chat Fast coherent manipulation of three-electron states in a double quantum dot 2014 Zhan Shi
C. B. Simmons
Daniel R. Ward
J. R. Prance
Xian Wu
Teck Seng Koh
John King Gamble
D. E. Savage
M. G. Lagally
Mark Friesen
5
+ PDF Chat Effective Hamiltonian for two interacting double-dot exchange-only qubits and their controlled-NOT operations 2014 Elena Ferraro
Marco De Michielis
M. Fanciulli
Enrico Prati
5
+ PDF Chat Effect of microwave irradiation on the emission and capture dynamics in silicon metal oxide semiconductor field effect transistors 2008 Enrico Prati
M. Fanciulli
Alessandro Calderoni
Giorgio Ferrari
M. Sampietro
4
+ PDF Chat Reinforcement Learning with Neural Networks for Quantum Feedback 2018 Thomas Fösel
Petru Tighineanu
Talitha Weiß
Florian Marquardt
4
+ PDF Chat Topological Quantum Compiling with Reinforcement Learning 2020 Yuanhang Zhang
Pei-Lin Zheng
Yi Zhang
Dong-Ling Deng
4
+ PDF Chat Pulse-Gated Quantum-Dot Hybrid Qubit 2012 Teck Seng Koh
John King Gamble
Mark Friesen
M. A. Eriksson
S. N. Coppersmith
4
+ PDF Chat Optimizing Quantum Error Correction Codes with Reinforcement Learning 2019 Hendrik Poulsen Nautrup
Nicolas Delfosse
Vedran Dunjko
Hans J. Briegel
Nicolai Friis
4
+ PDF Chat A reconfigurable cryogenic platform for the classical control of quantum processors 2017 Harald Homulle
Stefan Visser
Bishnu Patra
Giorgio Ferrari
Enrico Prati
Fabio Sebastiano
Edoardo Charbon
4
+ PDF Chat Optimal quantum circuits for general two-qubit gates 2004 Farrokh Vatan
Colin P. Williams
4
+ PDF Chat Microwave-assisted transport in a single-donor silicon quantum dot 2009 Enrico Prati
R. Latempa
M. Fanciulli
4
+ PDF Chat A CMOS silicon spin qubit 2016 Romain Maurand
X. Jehl
Dharmraj Kotekar‐Patil
Andrea Corna
Heorhii Bohuslavskyi
Romain Laviéville
Louis Hutin
Sylvain Barraud
M. Vinet
M. Sanquer
4
+ PDF Chat Elementary gates for quantum computation 1995 Adriano Barenco
Charles H. Bennett
Richard Cleve
David P. DiVincenzo
Norman Margolus
Peter W. Shor
Tycho Sleator
John A. Smolin
Harald Weinfurter
4
+ PDF Chat Quantum machine learning 2017 Jacob Biamonte
PĂ©ter Wittek
Nicola Pancotti
Patrick Rebentrost
Nathan Wiebe
Seth Lloyd
4
+ PDF Chat High-fidelity gates in quantum dot spin qubits 2013 Teck Seng Koh
S. N. Coppersmith
Mark Friesen
4
+ PDF Chat A single-atom electron spin qubit in silicon 2012 J. Jarryd
Kuan Yen Tan
Juan Pablo Dehollain
Wee Han Lim
John J. L. Morton
D.N. Jamieson
Andrew S. Dzurak
Andrea Morello
4
+ PDF Chat Self-consistent measurement and state tomography of an exchange-only spin qubit 2013 James Medford
J. Beil
Jacob M. Taylor
Stephen D. Bartlett
Andrew C. Doherty
É. I. Rashba
David P. DiVincenzo
Hong LĂŒ
A. C. Gossard
C. M. Marcus
4
+ A Learning Algorithm for Boltzmann Machines* 1985 David H. Ackley
Geoffrey E. Hinton
Terrence J. Sejnowski
3
+ Demonstration of two-qubit algorithms with a superconducting quantum processor 2009 L. DiCarlo
Jerry M. Chow
Jay Gambetta
Lev S. Bishop
Blake Johnson
David Schuster
Johannes Majer
Alexandre Blais
Luigi Frunzio
S. M. Girvin
3
+ PDF Chat Prospects for Spin-Based Quantum Computing in Quantum Dots 2013 Christoph Kloeffel
Daniel Loss
3
+ PDF Chat Two-qubit pulse gate for the three-electron double quantum dot qubit 2015 Sebastian Mehl
3
+ PDF Chat Storing quantum information for 30 seconds in a nanoelectronic device 2014 Juha T. Muhonen
Juan Pablo Dehollain
Arne Laucht
Fay E. Hudson
Rachpon Kalra
T. Sekiguchi
Kohei M. Itoh
D.N. Jamieson
J. C. McCallum
Andrew S. Dzurak
3
+ PDF Chat A variational eigenvalue solver on a photonic quantum processor 2014 Alberto Peruzzo
Jarrod R. McClean
Peter Shadbolt
Man‐Hong Yung
Xiaoqi Zhou
Peter J. Love
Alán Aspuru‐Guzik
Jeremy L. O’Brien
3