Literature Search

44 results

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Most Recent

Efficient explicit gate construction of block-encoding for Hamiltonians needed for simulating partial differential equations

(May 21, 2024)

e-Print:
- 2405.12855 [quant-ph]

pdf

reference search6 citations

Quantum simulation of the Fokker-Planck equation via Schrodingerization

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

(Apr 21, 2024)

e-Print:
- 2404.13585 [quant-ph]

pdf

reference search7 citations

Schrödingerisation based computationally stable algorithms for ill-posed problems in partial differential equations

(Mar 27, 2024)

e-Print:
- 2403.19123 [math.NA]

pdf

reference search9 citations

Further improving quantum algorithms for nonlinear differential equations via higher-order methods and rescaling

Pedro C.S. Costa
(
- Macquarie U. and
- Unlisted, AU
)
,
Philipp Schleich
(
- Macquarie U. and
- Toronto U. and
- Unlisted, CA
)
,
Mauro E.S. Morales
(
- Sydney, U. Technol. and
- Maryland U., College Park
)
,
Dominic W. Berry
(
- Macquarie U.
)

(Dec 14, 2023)

e-Print:
- 2312.09518 [quant-ph]

pdf

reference search7 citations

Quantum algorithm for linear non-unitary dynamics with near-optimal dependence on all parameters

Dong An
(
- Maryland U., College Park
)
,
Andrew M. Childs
(
- Maryland U., College Park
)
,
Lin Lin
(
)

(Dec 6, 2023)

e-Print:
- 2312.03916 [quant-ph]

pdf

reference search33 citations

Quantum simulation of partial differential equations: Applications and detailed analysis

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

(Sep 12, 2023)

Published in:
- Phys.Rev.A 108 (2023) 3, 032603

DOI

reference search52 citations

Quantum simulation of Maxwell’s equations via Schrödingerisation

(Aug 16, 2023)

Published in:
- ESAIM, Math. Model. Numer. Anal. 58 (2024) 5, 1853-1879
•
e-Print:
- 2308.08408 [quant-ph]

pdfDOI

reference search14 citations

Generalized Quantum Signal Processing

(Aug 2, 2023)

Published in:
- PRX Quantum 5 (2024) 2, 020368
•
e-Print:
- 2308.01501 [quant-ph]

pdfDOI

reference search60 citations

Quantum Simulation of the First-Quantized Pauli-Fierz Hamiltonian

Priyanka Mukhopadhyay
(
- U. Toronto (main)
)
,
Torin F. Stetina
(
- UC, Berkeley (main)
)
,
Nathan Wiebe
(
- Toronto U. and
- PNL, Richland and
- Canadian Inst. Advanced Res.
)

(Jun 19, 2023)

Published in:
- PRX Quantum 5 (2024) 1, 010345
•
e-Print:
- 2306.11198 [quant-ph]

pdfDOI

reference search8 citations

Quantum simulation for partial differential equations with physical boundary or interface conditions

#10

Shi Jin
(
- Shanghai Jiaotong U. and
- Shanghai U.
)
,
Xiantao Li
(
- Penn State U., Dept. Math.
)
,
Nana Liu
(
- Shanghai Jiaotong U. and
- Shanghai U. and
- Shanghai Jiao Tong U.
)
,
Yue Yu
(
- Shanghai Jiaotong U.
)

(May 4, 2023)

Published in:
- J.Comput.Phys. 498 (2024) 112707
•
e-Print:
- 2305.02710 [quant-ph]

pdfDOI

reference search20 citations

Potential quantum advantage for simulation of fluid dynamics

#11

et al.

(Mar 29, 2023)

Published in:
- Phys.Rev.Res. 7 (2025) 1, 013036
•
e-Print:
- 2303.16550 [quant-ph]

pdfDOI

reference search35 citations

Towards provably efficient quantum algorithms for large-scale machine-learning models

#12

Junyu Liu
(
)
,
Minzhao Liu
(
)
,
Jin-Peng Liu
(
- UC, Berkeley, Miller Inst. and
- UC, Berkeley and
- MIT
)
,
Ziyu Ye
(
- Chicago U., EFI
)
,
Yunfei Wang
(
- Brandeis U.
)

et al.

(Mar 6, 2023)

Published in:
- Nature Commun. 15 (2024) 1, 434,
- Nature Commun. 15 (2024) 434
•
e-Print:
- 2303.03428 [quant-ph]

DOI

reference search48 citations

Linear Combination of Hamiltonian Simulation for Nonunitary Dynamics with Optimal State Preparation Cost

#13

(Mar 2, 2023)

Published in:
- Phys.Rev.Lett. 131 (2023) 15, 150603
•
e-Print:
- 2303.01029 [quant-ph]

pdfDOI

reference search62 citations

On efficient quantum block encoding of pseudo-differential operators

#14

Haoya Li
(
- Stanford U., Math. Dept.
)
,
Hongkang Ni
(
- Stanford U.
)
,
Lexing Ying
(
- Stanford U., Math. Dept.
)

(Jan 21, 2023)

Published in:
- Quantum 7 (2023) 1031,
- Quantum 7 (2023) 1031
•
e-Print:
- 2301.08908 [quant-ph]

linksDOI

reference search14 citations

A theory of quantum differential equation solvers: limitations and fast-forwarding

#15

Dong An
(
- Maryland U., College Park
)
,
Jin-Peng Liu
(
- UC, Berkeley (main) and
- UC, Berkeley and
- MIT, Cambridge, CTP
)
,
Daochen Wang
(
- Maryland U., College Park and
- Maryland U.
)
,
Qi Zhao
(
- Hong Kong U.
)

(Nov 9, 2022)

e-Print:
- 2211.05246 [quant-ph]

pdf

reference search46 citations

Efficient Quantum Algorithm for Nonlinear Reaction–Diffusion Equations and Energy Estimation

#16

Jin-Peng Liu
(
- Maryland U., College Park and
- Maryland U.
)
,
Dong An
(
- Maryland U., College Park
)
,
Di Fang
(
- UC, Berkeley, Math. Dept. and
- LBL, Berkeley
)
,
Jiasu Wang
(
- UC, Berkeley, Math. Dept.
)
,
Guang Hao Low
(
- Microsoft, Redmond
)

et al.

(May 2, 2022)

Published in:
- Commun.Math.Phys. 404 (2023) 2, 963-1020
•
e-Print:
- 2205.01141 [quant-ph]

pdfDOI

reference search32 citations

Quantum simulation of real-space dynamics

#17

Andrew M. Childs
(
- Joint Quantum Inst., College Park
)
,
Jiaqi Leng
(
- Joint Quantum Inst., College Park and
- Maryland U., College Park
)
,
Tongyang Li
(
- Peking U., CHEP and
- Peking U. and
- MIT, Cambridge, CTP
)
,
Jin-Peng Liu
(
- Joint Quantum Inst., College Park and
- Maryland U., College Park
)
,
Chenyi Zhang
(
- Tsinghua U., Beijing
)

(Mar 31, 2022)

Published in:
- Quantum 6 (2022) 860,
- Quantum 6 (2022) 860
•
e-Print:
- 2203.17006 [quant-ph]

DOI

reference search38 citations

Explicit Quantum Circuits for Block Encodings of Certain Sparse Matrices

#18

Daan Camps
(
- LBNL, Berkeley
)
,
Lin Lin
(
- UC, Berkeley and
- LBL, Berkeley
)
,
Roel Van Beeumen
(
- LBL, Berkeley
)
,
Chao Yang
(
- LBL, Berkeley
)

(Mar 18, 2022)

Published in:
- SIAM J.Matrix Anal.Appl. 45 (2024) 1, 801-827
•
e-Print:
- 2203.10236 [quant-ph]

pdfDOI

reference search63 citations

Time complexity analysis of quantum difference methods for linear high dimensional and multiscale partial differential equations

#19

(Feb 9, 2022)

Published in:
- J.Comput.Phys. 471 (2022) 111641
•
e-Print:
- 2202.04537 [math.NA]

pdfDOI

reference search16 citations

Improved quantum algorithms for linear and nonlinear differential equations

#20

Hari Krovi
(
- BBN Advanced Computers, Cambridge
)

(Feb 2, 2022)

Published in:
- Quantum 7 (2023) 913
•
e-Print:
- 2202.01054 [quant-ph]

DOI

reference search82 citations

Block-encoding dense and full-rank kernels using hierarchical matrices: applications in quantum numerical linear algebra

#21

(Jan 27, 2022)

Published in:
- Quantum 6 (2022) 876,
- Quantum 6 (2022) 876
•
e-Print:
- 2201.11329 [quant-ph]

DOI

reference search19 citations

Fault-Tolerant Quantum Simulations of Chemistry in First Quantization

#22

(May 26, 2021)

Published in:
- PRX Quantum 2 (2021) 4, 040332
•
e-Print:
- 2105.12767 [quant-ph]

pdfDOI

reference search119 citations

Efficient quantum algorithm for dissipative nonlinear differential equations

#23

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

Fast inversion, preconditioned quantum linear system solvers, fast Green's-function computation, and fast evaluation of matrix functions

#24

Yu Tong
(
- UC, Berkeley, Math. Dept.
)
,
Dong An
(
- UC, Berkeley, Math. Dept.
)
,
Nathan Wiebe
(
- Washington U., Seattle and
- U. Toronto (main) and
- PNL, Richland
)
,
Lin Lin
(
- UC, Berkeley and
- LBNL, Berkeley
)

(Aug 30, 2020)

Published in:
- Phys.Rev.A 104 (2021) 3, 032422
•
e-Print:
- 2008.13295 [quant-ph]

pdfDOI

reference search75 citations

Quantum vs. Classical Algorithms for Solving the Heat Equation

#25

(Apr 14, 2020)

Published in:
- Commun.Math.Phys. 395 (2022) 2, 601-641
•
e-Print:
- 2004.06516 [quant-ph]

DOI

reference search67 citations

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