A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations | Paper Citation Record

Observation 5acf4c1e-c174-4efb-aab9-a0bf1e85901e · outbound

This paper cites Henceforth, we first consider conventional quantum circuit synthesis methods to reduce logical resources within each subroutine as follows.

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Henceforth, we first consider conventional quantum circuit synthesis methods to reduce logical resources within each subroutine as follows

Reference 1

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Observation fde0a8f8-16fe-48d7-8d7d-e36085131ce2 · outbound

This paper cites Herein, we study three matching patterns appearing in the hierarchy spectral quantum Navier-Stokes solver for search and merge.

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Herein, we study three matching patterns appearing in the hierarchy spectral quantum Navier-Stokes solver for search and merge

Reference 2

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Observation d545092e-b00b-4631-8b9f-6ec0e6623bbe · outbound

This paper cites By applying hierarchy spectral block-encoding and quantum linear system solver in Theorem B.1, we can get a2n-qubit quantum state|W⟩representing the conservative variables onNcells.

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations By applying hierarchy spectral block-encoding and quantum linear system solver in Theorem B.1, we can get a2n-qubit quantum state|W⟩representing the conservative variables onNcells

Reference 5

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Observation 9aa47d15-b1be-4826-b1b0-a83bbd481da3 · outbound

This paper cites For the k-th iteration, we can update the block-encoding oraclesO (k+1) A ,O (k+1) b by ˜W (k).

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations For the k-th iteration, we can update the block-encoding oraclesO (k+1) A ,O (k+1) b by ˜W (k)

Reference 6

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This paper cites Among these QEC codes, surface codes are well-studied and generally considered to be one of the leading candidates for practical quantum computing [23].

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Among these QEC codes, surface codes are well-studied and generally considered to be one of the leading candidates for practical quantum computing [23]

Reference 7

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Observation 42207209-4e20-40c0-bafd-466e5955e0b9 · outbound

This paper cites To prepare these magic states, we consider the following preparation protocols.

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations To prepare these magic states, we consider the following preparation protocols

Reference 8

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Reference 9

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This paper cites Specifically, each component of the solutionx(the residual vector) is multiplied by a random factor drawn from the uniform distributionU(1−ϵ noise,1 +ϵ noise).

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Specifically, each component of the solutionx(the residual vector) is multiplied by a random factor drawn from the uniform distributionU(1−ϵ noise,1 +ϵ noise)

Reference 10

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Reference 11

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This paper cites Firstly, we utilize the boundary operatorU boundary acting on the cell index register and the boundary flag register to mark whether it is on the boundary.

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Firstly, we utilize the boundary operatorU boundary acting on the cell index register and the boundary flag register to mark whether it is on the boundary

Reference 12

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This paper cites In the simplified introductory case of the classic Lax-Friedrichs Riemann solver, we illustrate the basic idea to solve the Riemann problem with boundary conditions.

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations In the simplified introductory case of the classic Lax-Friedrichs Riemann solver, we illustrate the basic idea to solve the Riemann problem with boundary conditions

Reference 13

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Observation 62752b32-aee9-437c-80a1-49fd2f2f54dc · outbound

This paper cites As the Mach number increases, compressibility effects become dominant, and the fluctuations in density ρand temperatureTbecome much larger than in theMa = 0.1case.

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations As the Mach number increases, compressibility effects become dominant, and the fluctuations in density ρand temperatureTbecome much larger than in theMa = 0.1case

Reference 14

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Observation bad18589-a1cf-4759-80bf-52e0fdfc4506 · outbound

This paper cites Arute, K.

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Arute, K

Reference 16

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Observation bfa0f8f1-18f6-4c0e-9942-afe7ebafdfcb · outbound

This paper cites Preskill, Introduction to quantum computation and information213(1998).

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Preskill, Introduction to quantum computation and information213(1998)

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Observation 671551e8-4c69-419c-959a-60c1bcf879c6 · outbound

This paper cites Opportunities and Challenges in Fault-Tolerant Quantum Computation.

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Opportunities and Challenges in Fault-Tolerant Quantum Computation

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This paper cites Bluvstein, S.

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Bluvstein, S

Reference 21

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Observation 792c0aeb-6bf6-4c4d-b03b-5d38824c1da1 · outbound

This paper cites Katabarwa, K.

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Katabarwa, K

Reference 23

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This paper cites Yoshioka, T.

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Yoshioka, T

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A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Unresolved cited work

Reference 25

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Observation 109c2d7a-80a3-467f-ad13-14f132c2e7b8 · outbound

This paper cites Gidney and M.

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Gidney and M

Reference 26

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This paper cites How to factor 2048 bit RSA integers with less than a million noisy qubits.

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations How to factor 2048 bit RSA integers with less than a million noisy qubits

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Observation 43970c8c-e758-4fbd-ba83-0b3ea63154e3 · outbound

This paper cites Zhang, T.

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Zhang, T

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A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Giovannetti, S

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This paper cites Di Matteo, V.

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Di Matteo, V

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This paper cites Kerenidis and A.

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Kerenidis and A

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Observation 1bcc6f98-5adf-41ea-b977-77ae9b66173c · outbound

This paper cites Optimising quantum circuits is generally hard.

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Optimising quantum circuits is generally hard

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A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Unresolved cited work

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This paper cites Blazek,Computational fluid dynamics: principles and applications(Butterworth-Heinemann, 2015).

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Blazek,Computational fluid dynamics: principles and applications(Butterworth-Heinemann, 2015)

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A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Unresolved cited work

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This paper cites A shortcut to an optimal quantum linear system solver.

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations A shortcut to an optimal quantum linear system solver

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A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Unresolved cited work

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A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Unresolved cited work

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Observation 132b8f2f-febd-4e71-9768-8d6c78313a49 · outbound

This paper cites Transformation of quantum states using uniformly controlled rotations.

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Transformation of quantum states using uniformly controlled rotations

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Observation 64cbf05c-01a7-4c64-9b7e-a44652d64691 · outbound

This paper cites Low overhead quantum computation using lattice surgery.

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Low overhead quantum computation using lattice surgery

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Observation 31004d6b-e4e0-4e43-8d6a-93d73d1068a1 · outbound

This paper cites Helgaker, P.

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Helgaker, P

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Observation 60ea3d73-f152-4f10-a09b-8cb641e4112f · outbound

This paper cites Litinski, Quantum3, 205 (2019).

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Litinski, Quantum3, 205 (2019)

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Observation f5d9e50d-5dd5-4dea-8c2c-92f98f30195c · outbound

This paper cites Low-Overhead and High-Fidelity Preparation of Logical Non-Clifford States with Multi-Level Transversal Injection,.

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Low-Overhead and High-Fidelity Preparation of Logical Non-Clifford States with Multi-Level Transversal Injection,

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Observation 0dc5d351-7efa-44f2-bdf3-65e70459267e · outbound

This paper cites Top500 list of supercomputers (june 2025),.

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Top500 list of supercomputers (june 2025),

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Observation acbb4c5c-e0a2-414b-9945-6fffe8e6a788 · outbound

This paper cites Wan, C.-H.

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Wan, C.-H

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Observation 26500583-1296-4b17-8059-c0dd1da45323 · outbound

This paper cites Camps, L.

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Camps, L

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Observation 1c1838a3-6696-464e-879c-8b37473a65b8 · outbound

This paper cites S ¨underhauf, E.

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations S ¨underhauf, E

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Observation 65341237-6a13-493a-96f7-cd0c1d43f211 · outbound

This paper cites Statistics-Informed Parameterized Quantum Circuit via Maximum Entropy Principle for Data Science and Finance.

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Statistics-Informed Parameterized Quantum Circuit via Maximum Entropy Principle for Data Science and Finance

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Observation 524d7497-7d80-451d-8397-73606a60e179 · outbound

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A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Rosenkranz, E

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Observation 7461ba5f-106e-4013-8439-5016be672135 · outbound

This paper cites Time-optimal quantum computation.

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Time-optimal quantum computation

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Observation aedf24ab-8e4b-4e1a-bef2-34a3fce213e4 · outbound

This paper cites Gidney and A.

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Gidney and A

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Observation e2ee3f0a-998a-466c-b36d-c5e2d9f45f03 · outbound

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A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Magic state cultivation: growing T states as cheap as CNOT gates

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Observation 2226dbb8-f1a0-4645-94ba-bb82e39e2aa7 · outbound

This paper cites Towards identifying possible fault-tolerant advantage of quantum linear system algorithms in terms of space, time and energy.

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Towards identifying possible fault-tolerant advantage of quantum linear system algorithms in terms of space, time and energy

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Observation 00192af8-318c-4858-9e1c-90b670ba2420 · outbound

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A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Gaitan, npj Quantum Information6, 61 (2020)

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Observation b9ad0a4f-4351-4aad-ab70-a602b3462116 · outbound

This paper cites Itani, K.

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Itani, K

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Observation 447d4cca-22f1-4539-8e15-b83377dceeb0 · outbound

This paper cites Meng and Y.

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Meng and Y

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Reference 62

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A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Unresolved cited work

Reference 63

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A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Towards Solving the Navier-Stokes Equation on Quantum Computers

Reference 64

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A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Unresolved cited work

Reference 65

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A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Quantum Linear System Solvers: A Survey of Algorithms and Applications

Reference 66

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A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Variable time amplitude amplification and a faster quantum algorithm for solving systems of linear equations

Reference 67

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A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Unresolved cited work

Reference 68

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This paper cites Subas ¸ı, R.

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Subas ¸ı, R

Reference 69

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A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Unresolved cited work

Reference 70

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A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations An and L

Reference 71

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A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Jennings, M

Reference 72

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A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Costa, D

Reference 73

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A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Unresolved cited work

Reference 74

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A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Unresolved cited work

Reference 75

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A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Unresolved cited work

Reference 76

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A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Unresolved cited work

Reference 77

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A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Unresolved cited work

Reference 78

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A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations van Apeldoorn, A

Reference 79

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A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Gily ´en, Y

Reference 80

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A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Gross, Y .-K

Reference 81

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A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Unresolved cited work

Reference 82

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A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Unresolved cited work

Reference 83

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A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Unresolved cited work

Reference 84

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A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Flexible layout of surface code computations using AutoCCZ states

Reference 85

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This paper cites Litinski, Quantum3, 128 (2019).

A Pathway to Practical Quantum Advantage in Solving Navier-Stokes Equations Litinski, Quantum3, 128 (2019)

Reference 86

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