A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics | Paper Citation Record

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This paper cites Efficient quantum algorithm for dissipative nonlinear differential equations.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Efficient quantum algorithm for dissipative nonlinear differential equations

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This paper cites Improved quantum algorithms for linear and nonlinear differential equations.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Improved quantum algorithms for linear and nonlinear differential equations

Reference 2

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A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Three Carleman routes to the quantum simulation of classical fluids

Reference 3

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This paper cites Quantum Algorithms for Nonlinear Dynamics: Revisiting Carleman Linearization with No Dissipative Conditions.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Quantum Algorithms for Nonlinear Dynamics: Revisiting Carleman Linearization with No Dissipative Conditions

Reference 4

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This paper cites Koopman–von Neumann approach to quantum simulation of nonlinear classical dynamics.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Koopman–von Neumann approach to quantum simulation of nonlinear classical dynamics

Reference 5

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This paper cites Quantum algorithm for the advection-diffusion equation and the Koopman-von Neumann approach to nonlinear dynamical systems.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Quantum algorithm for the advection-diffusion equation and the Koopman-von Neumann approach to nonlinear dynamical systems

Reference 6

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This paper cites Simulating non-native cubic interactions on noisy quantum machines.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Simulating non-native cubic interactions on noisy quantum machines

Reference 7

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This paper cites Nonlinear solution of classical three-wave interaction via finite-dimensional quantum model.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Nonlinear solution of classical three-wave interaction via finite-dimensional quantum model

Reference 8

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This paper cites Simulating nonlinear optical processes on a superconducting quantum device.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Simulating nonlinear optical processes on a superconducting quantum device

Reference 9

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This paper cites Quantum simulation of nonlinear dynamical systems using repeated measurement.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Quantum simulation of nonlinear dynamical systems using repeated measurement

Reference 10

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This paper cites Variational quantum algorithms for nonlinear problems.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Variational quantum algorithms for nonlinear problems

Reference 11

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This paper cites Nonlinear dynamics as a ground-state solution on quantum computers.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Nonlinear dynamics as a ground-state solution on quantum computers

Reference 12

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Observation 7c7c541f-fba2-4192-bd88-9d7d3b1f9d3a · outbound

This paper cites A Hybrid Quantum Solver for the Lorenz System.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics A Hybrid Quantum Solver for the Lorenz System

Reference 13

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Observation c993a927-bb2e-43a5-960c-106b4b2d707c · outbound

This paper cites A quantum algorithm to solve nonlinear differential equations.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics A quantum algorithm to solve nonlinear differential equations

Reference 14

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This paper cites Quantum algorithm for nonlinear differential equations.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Quantum algorithm for nonlinear differential equations

Reference 15

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This paper cites Finding flows of a Navier-Stokes fluid through quantum computing.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Finding flows of a Navier-Stokes fluid through quantum computing

Reference 16

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Observation 011e74ad-5321-4e6c-aa69-4de049c3650f · outbound

This paper cites Quantum Computers for Weather and Climate Prediction: The Good, the Bad, and the Noisy.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Quantum Computers for Weather and Climate Prediction: The Good, the Bad, and the Noisy

Reference 17

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Observation 1af4ee3b-3aed-4cf1-a07a-9fa200ef6244 · outbound

This paper cites Quantum algorithm for nonlinear Burgers’ equation for high-speed compressible flows.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Quantum algorithm for nonlinear Burgers’ equation for high-speed compressible flows

Reference 18

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Observation 1cca3a0d-a7c2-4066-a65c-95ee8c53935e · outbound

This paper cites The Lorenz model and the method of Carleman embedding.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics The Lorenz model and the method of Carleman embedding

Reference 19

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Observation efa269d2-1c49-4c63-b847-f9d98029fda8 · outbound

This paper cites Limitations for Quantum Algorithms to Solve Turbulent and Chaotic Systems.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Limitations for Quantum Algorithms to Solve Turbulent and Chaotic Systems

Reference 20

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Observation fb0089e2-e22c-42df-a690-2becf816633f · outbound

This paper cites Challenges for quantum computation of nonlinear dynamical systems using linear representations.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Challenges for quantum computation of nonlinear dynamical systems using linear representations

Reference 21

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Observation 1999c529-7530-4dfb-a251-30fdedbc1c99 · outbound

This paper cites Linear embedding of nonlinear dynamical systems and prospects for efficient quantum algorithms.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Linear embedding of nonlinear dynamical systems and prospects for efficient quantum algorithms

Reference 22

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Observation a3bb3adc-fb05-4c57-b2a4-693c1551239a · outbound

This paper cites The Painleve property for partial differential equations.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics The Painleve property for partial differential equations

Reference 23

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Observation 349ea5b8-8927-4c7b-8785-17300a634f03 · outbound

This paper cites Quantum dynamics in Krylov space: Methods and applications.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Quantum dynamics in Krylov space: Methods and applications

Reference 24

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This paper cites Deterministic Nonperiodic Flow.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Deterministic Nonperiodic Flow

Reference 25

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Observation 96448bae-82ab-43d5-b68a-50cf4483b833 · outbound

This paper cites An Introduction to Numerical Analysis ; Cambridge University Press, 2003.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics An Introduction to Numerical Analysis ; Cambridge University Press, 2003

Reference 26

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Observation 6317e616-a9ac-45d3-bef7-c7e4b74da02b · outbound

This paper cites Non-linear quantum state transformation of spin-12.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Non-linear quantum state transformation of spin-12

Reference 27

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Observation b0b8a983-c06a-40d3-845f-d1c307d5004a · outbound

This paper cites Quantum Circuits for General Multiqubit Gates.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Quantum Circuits for General Multiqubit Gates

Reference 28

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Observation aa620034-7859-4185-adb2-c5f819cd4cdd · outbound

This paper cites Quantum circuits with uniformly controlled one-qubit gates.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Quantum circuits with uniformly controlled one-qubit gates

Reference 29

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Observation 63d72f06-2042-4997-b84d-e9ad3b82e6cc · outbound

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A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Elementary gates for quantum computation

Reference 30

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This paper cites Quantum-state preparation with universal gate decompositions.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Quantum-state preparation with universal gate decompositions

Reference 31

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Observation 843f1547-2056-4a62-a5a1-2a54b26f3c95 · outbound

This paper cites General Quantum Interference Principle and Duality Computer.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics General Quantum Interference Principle and Duality Computer

Reference 32

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Observation c20d6355-b4f3-4c2d-a5c7-17cd54b0605e · outbound

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A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Nonlinear transformations in quantum computation

Reference 33

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Observation 3dbdae46-5cc2-4d85-b921-44153e19c406 · outbound

This paper cites Hamiltonian simulation using linear combinations of unitary operations.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Hamiltonian simulation using linear combinations of unitary operations

Reference 34

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Observation b065c530-8bbc-48a9-a25f-217f97e12621 · outbound

This paper cites Quantum Computation and Quantum Information: 10th Anniversary Edition ; Cambridge University Press, 2010.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Quantum Computation and Quantum Information: 10th Anniversary Edition ; Cambridge University Press, 2010

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:36:15.636973Z

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Observation fcac0ab6-36fc-4474-ae3f-20b41f5db750 · outbound

This paper cites Quantum Simulation of Open Quantum Systems Using a Unitary Decomposition of Operators.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Quantum Simulation of Open Quantum Systems Using a Unitary Decomposition of Operators

Reference 36

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Observation ecc519ad-fbc5-479c-9040-46ef515ba272 · outbound

This paper cites Quantum state preparation and nonunitary evolution with diagonal operators.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Quantum state preparation and nonunitary evolution with diagonal operators

Reference 37

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Observation 126e522c-a4ac-43ae-afaf-7748ae5de649 · outbound

This paper cites Quantum simulation of partial differential equations: Applications and detailed analysis.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Quantum simulation of partial differential equations: Applications and detailed analysis

Reference 38

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Observation 57e07b25-ec84-4a43-8c32-59fc93610504 · outbound

This paper cites Quantum simulation of dissipation for Maxwell equations in dispersive media.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Quantum simulation of dissipation for Maxwell equations in dispersive media

Reference 39

Resolution: verified exact; doi, observed 2026-08-06T22:36:13.010962Z

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Observation 01106dfe-0fb4-4b77-a372-2d4d46a74833 · outbound

This paper cites Quantum Implementation of Non-unitary Operations with Biorthogonal Representations.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Quantum Implementation of Non-unitary Operations with Biorthogonal Representations

Reference 40

Resolution: verified exact; doi, observed 2026-08-06T22:36:12.793891Z

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Observation 27255637-14ee-4bc3-abf9-59fc6cfa9e04 · outbound

This paper cites Hamiltonian Simulation in the Interaction Picture.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Hamiltonian Simulation in the Interaction Picture

Reference 41

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Observation 66ae34f0-00ea-4b02-8f5c-8f656ed2a925 · outbound

This paper cites Time-marching based quantum solvers for time-dependent linear differential equations.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Time-marching based quantum solvers for time-dependent linear differential equations

Reference 42

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This paper cites Quantum amplitude amplification and estimation.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Quantum amplitude amplification and estimation

Reference 43

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Observation c29a9845-e540-48a1-9eea-4d7992875ffb · outbound

This paper cites A review of chaotification techniques for discrete-time systems.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics A review of chaotification techniques for discrete-time systems

Reference 44

Resolution: verified exact; doi, observed 2026-08-06T22:36:12.596557Z

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Observation a61b7e19-123e-49c0-a483-7d060d1322fa · outbound

This paper cites Exploiting recursive structures for the design of novel quantum primitives.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Exploiting recursive structures for the design of novel quantum primitives

Reference 45

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Observation da833e1d-fe4c-41ed-aa71-12b2700fb16f · outbound

This paper cites Quantum lattice gas representation of some classical solitons.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Quantum lattice gas representation of some classical solitons

Reference 46

Resolution: verified exact; doi, observed 2026-08-06T22:36:12.410803Z

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Observation 84ef67c8-8778-4d20-95da-e4b9e01a1f4a · outbound

This paper cites Quantum lattice representations for vector solitons in external potentials.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Quantum lattice representations for vector solitons in external potentials

Reference 47

Resolution: verified exact; doi, observed 2026-08-06T22:36:12.301437Z

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Observation a02a92c5-98f9-4e2e-914a-a36ac4cf235b · outbound

This paper cites Twisting of filamentary vortex solitons demarcated by fast Poincaré recursion.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Twisting of filamentary vortex solitons demarcated by fast Poincaré recursion

Reference 48

Resolution: verified exact; doi, observed 2026-08-06T22:36:12.185031Z

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Observation 106ce41f-9f55-457b-9433-6a36972e22ee · outbound

This paper cites Unitary-quantum-lattice algorithm for two-dimensional quantum turbulence.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Unitary-quantum-lattice algorithm for two-dimensional quantum turbulence

Reference 49

Resolution: verified exact; doi, observed 2026-08-06T22:36:12.083203Z

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Observation 1c255f2c-36f0-465a-97c6-e2ef21dc73bd · outbound

This paper cites Qubit unitary lattice algorithm for spin-2 Bose-Einstein condensates: II - vortex reconnection simulations and non-Abelain vortices.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics Qubit unitary lattice algorithm for spin-2 Bose-Einstein condensates: II - vortex reconnection simulations and non-Abelain vortices

Reference 50

Resolution: verified exact; raw_fallback, observed 2026-08-06T22:36:15.011363Z

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Observation b5b74d08-16ac-43db-9f0f-73d2ada9608e · outbound

This paper cites A Quantum Walk Inspired Qubit Lattice Algorithm for Simulating Electromagnetic Wave Propagation and Scattering in Conservative and Dissipative Magnetized Plasmas.

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics A Quantum Walk Inspired Qubit Lattice Algorithm for Simulating Electromagnetic Wave Propagation and Scattering in Conservative and Dissipative Magnetized Plasmas

Reference 51

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