Literature Search

Quantum computing for nonlinear differential equations and turbulence

#1

(Jan 22, 2025)

DOI

reference search2 citations

Carleman-lattice-Boltzmann quantum circuit with matrix access oracles

#2

(Jan 5, 2025)

Published in:
- Phys.Fluids 37 (2025) 3, 037123
•
e-Print:
- 2501.02582 [quant-ph]

pdfDOI

reference search1 citation

Decomposition of nonlinear collision operator in quantum Lattice Boltzmann algorithm

#3

Dinesh Kumar E
(
- Technion
)
,
Steven H. Frankel
(
- Technion
)

(Aug 1, 2024)

Published in:
- EPL 148 (2024) 3, 38003
•
e-Print:
- 2408.00387 [quant-ph]

DOI

reference search1 citation

Emergence of Navier-Stokes hydrodynamics in chaotic quantum circuits

#4

(May 22, 2024)

e-Print:
- 2405.13892 [cond-mat.stat-mech]

pdf

reference search1 citation

A quantum algorithm for the lattice-Boltzmann method advection-diffusion equation

#5

et al.

(May 22, 2024)

Published in:
- Comput.Phys.Commun. 306 (2025) 109373
•
e-Print:
- 2405.13391 [quant-ph]

pdfDOI

reference search3 citations

Quantum unitary matrix representation of the lattice Boltzmann model for low Reynolds fluid flow simulation

#6

E. Dinesh Kumar
(
- Technion
)
,
Steven H. Frankel
(
- Technion
)

(May 14, 2024)

Published in:
- AVS Quantum Sci. 7 (2025) 1, 013802
•
e-Print:
- 2405.08669 [quant-ph]

DOI

reference search4 citations

Simulating unsteady flows on a superconducting quantum processor

#7

et al.

(Apr 24, 2024)

Published in:
- Commun.Phys. 7 (2024) 1, 349
•
e-Print:
- 2404.15878 [quant-ph]

DOI

reference search8 citations

Quantum spin representation for the Navier-Stokes equation

#8

(Mar 1, 2024)

Published in:
- Phys.Rev.Res. 6 (2024) 4, 043130
•
e-Print:
- 2403.00596 [physics.flu-dyn]

pdfDOI

reference search5 citations

Three Carleman routes to the quantum simulation of classical fluids

#9

(Feb 26, 2024)

Published in:
- Phys.Fluids 36 (2024) 5, 057143
•
e-Print:
- 2402.16686 [physics.flu-dyn]

pdfDOI

reference search10 citations

Solving nonlinear differential equations on Quantum Computers: A Fokker-Planck approach

#10

Felix Tennie
(
- Imperial Coll., London
)
,
Luca Magri
(
- Imperial Coll., London and
- Polytech. Turin
)

(Jan 24, 2024)

e-Print:
- 2401.13500 [quant-ph]

pdf

reference search6 citations

A multiple-circuit approach to quantum resource reduction with application to the quantum lattice Boltzmann method

#11

et al.

(Jan 20, 2024)

e-Print:
- 2401.12248 [quant-ph]

pdf

reference search4 citations

Quantum computing of reacting flows via Hamiltonian simulation

#12

Zhen Lu
(
- Peking U.
)
,
Yue Yang
(
- Peking U.
)

(Dec 12, 2023)

Published in:
- Proc.Combust.Inst. 40 (2024) 105440
•
e-Print:
- 2312.07893 [physics.flu-dyn]

pdfDOI

reference search10 citations

Quantum computing for fluids: Where do we stand?

#13

Sauro Succi
(
- INFN, Rome
)
,
Wael Itani
(
- Brooklyn, Polytechnic U.
)
,
Katepalli Sreenivasan
(
- Brooklyn, Polytechnic U.
)
,
René Steijl
(
- Glasgow U.
)

(Jul 11, 2023)

Published in:
- EPL 144 (2023) 1, 10001
•
e-Print:
- 2307.05157 [physics.comp-ph]

DOI

reference search23 citations

Fully quantum algorithm for mesoscale fluid simulations with application to partial differential equations

#14

Sriharsha Kocherla
(
- Georgia Tech
)
,
Zhixin Song
(
- Georgia Tech., Atlanta
)
,
Fatima Ezahra Chrit
(
- Georgia Tech
)
,
Bryan Gard
(
- Georgia Tech., Atlanta
)
,
Eugene F. Dumitrescu
(
- Oak Ridge
)

et al.

(May 11, 2023)

Published in:
- AVS Quantum Sci. 6 (2024) 3, 033806,
- AVS Quantum Sci. 6 (2024) 033806
•
e-Print:
- 2305.07148 [physics.comp-ph]

pdfDOI

reference search9 citations

Quantum algorithm for lattice Boltzmann (QALB) simulation of incompressible fluids with a nonlinear collision term

#15

Wael Itani
(
- New York U. (main)
)
,
Katepalli R. Sreenivasan
(
- New York U. (main) and
- New York U., Courant Inst. and
- New York U.
)
,
Sauro Succi
(
- U. Rome La Sapienza (main) and
- Harvard U., Phys. Dept.
)

(Apr 12, 2023)

Published in:
- Phys.Fluids 36 (2024) 1, 017112
•
e-Print:
- 2304.05915 [quant-ph]

pdfDOI

reference search26 citations

Quantum computing of fluid dynamics using the hydrodynamic Schrödinger equation

#16

Zhaoyuan Meng
(
- Peking U.
)
,
Yue Yang
(
- Peking U.
)

(Feb 19, 2023)

Published in:
- Phys.Rev.Res. 5 (2023) 3, 033182
•
e-Print:
- 2302.09741 [physics.flu-dyn]

pdfDOI

reference search27 citations

Time complexity analysis of quantum algorithms via linear representations for nonlinear ordinary and partial differential equations

#17

Shi Jin
(
- Shanghai Jiaotong U. and
- Shanghai Jiao Tong U.
)
,
Nana Liu
(
- Shanghai Jiao Tong U.
)
,
Yue Yu
(
- Shanghai Jiaotong U.
)

(Sep 18, 2022)

Published in:
- J.Comput.Phys. 487 (2023) 112149,
- J.Comput.Phys. 487 2023, 112149
•
e-Print:
- 2209.08478 [quant-ph]

pdfDOI

reference search37 citations

A Hybrid Quantum-Classical CFD Methodology with Benchmark HHL Solutions

#18

Leigh Lapworth
(
- Unlisted, UK
)

(Jun 1, 2022)

e-Print:
- 2206.00419 [quant-ph]

pdf

reference search26 citations

Hybrid quantum-classical reservoir computing of thermal convection flow

#19

Philipp Pfeffer
(
- Ilmenau Tech. U.
)
,
Florian Heyder
(
- Ilmenau Tech. U.
)
,
Jörg Schumacher
(
- Ilmenau Tech. U. and
- New York U. (main)
)

(Apr 29, 2022)

Published in:
- Phys.Rev.Res. 4 (2022) 3, 033176
•
e-Print:
- 2204.13951 [quant-ph]

pdfDOI

reference search35 citations

Quantum algorithm for the Navier–Stokes equations by using the streamfunction-vorticity formulation and the lattice Boltzmann method

#20

Ljubomir Budinski
(
- Novi Sad U.
)

(Mar 5, 2021)

Published in:
- Int.J.Quant.Inf. 20 (2022) 02, 2150039
•
e-Print:
- 2103.03804 [quant-ph]

pdfDOI

reference search45 citations

Noisy intermediate-scale quantum algorithms

#21

Kishor Bharti
(
- Singapore Natl. U.
)
,
Alba Cervera-Lierta
(
- Toronto U.
)
,
Thi Ha Kyaw
(
- Toronto U.
)
,
Tobias Haug
(
- Imperial Coll., London
)
,
Sumner Alperin-Lea
(
- Toronto U.
)

et al.

(Jan 21, 2021)

Published in:
- Rev.Mod.Phys. 94 (2022) 1, 015004
•
e-Print:
- 2101.08448 [quant-ph]

pdfDOI

reference search1,305 citations

Efficient quantum algorithm for dissipative nonlinear differential equations

#22

Jin-Peng Liu
(
- Maryland U., College Park and
- Maryland U.
)
,
Herman Øie Kolden
(
- Norwegian U. Sci. Tech. and
- MIT, LNS
)
,
Hari K. Krovi
(
- BBN Advanced Computers, Cambridge
)
,
Nuno F. Loureiro
(
- MIT, LNS
)
,
Konstantina Trivisa
(
- Maryland U.
)

et al.

(Nov 5, 2020)

Published in:
- Proc.Nat.Acad.Sci. 118 (2021) 35, e2026805118,
- Proc.Nat.Acad.Sci. 118 (2021) e2026805118
•
e-Print:
- 2011.03185 [quant-ph]

pdfDOI

reference search161 citations

Koopman–von Neumann approach to quantum simulation of nonlinear classical dynamics

#23

Ilon Joseph
(
- LLNL, Livermore
)

(Oct 19, 2020)

Published in:
- Phys.Rev.Res. 2 (2020) 4, 043102

pdfDOI

reference search75 citations

Quantum Algorithm for Linear Systems of Equations

#24

Aram W. Harrow
(
- U. Bristol (main)
)
,
Avinatan Hassidim
(
- MIT
)
,
Seth Lloyd
(
- MIT
)

(Nov 19, 2008)

Published in:
- Phys.Rev.Lett. 103 (2009) 15, 150502
•
e-Print:
- 0811.3171 [quant-ph]

pdf

reference search1,880 citations

Colloquium: Role of the H theorem in lattice Boltzmann hydrodynamic simulations

#25

(Oct, 2002)

Published in:
- Rev.Mod.Phys. 74 (2002) 1203-1220
•
e-Print:
- cond-mat/0205639 [cond-mat.stat-mech]

pdfDOI

reference search2 citations

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