Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-20T05:15:00.472235Z
Paper Citation Record · LEDGER
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization
As of 22 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 2 inbound Pith citation observations for arXiv:2605.20071.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-11T04:48:39.779603Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-07-02T03:46:32.236051Z
Reference resolution
53 of 53 outbound references displayed
- verified exact5
- verified fuzzy42
- unresolved1
- parse uncertain0
- malformed identifier1
- metadata mismatch4
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation f4a7f6be-bcb3-496b-aeea-f4f12003c6ce · outbound
This paper cites Lemma IV.5.Under Assumptions I.1 and I.2.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Lemma IV.5.Under Assumptions I.1 and I.2
Reference 1
- Resolution
- malformed identifier
- raw_fallback, observed 2026-05-20T05:23:22.140205Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation ddac26cb-23df-43e2-864f-d52b9ee4b34c · outbound
This paper cites Quantum mechanical computers.Foundations of physics, 16(6):507–531.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Quantum mechanical computers.Foundations of physics, 16(6):507–531
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T05:23:22.136079Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 21e642ab-8e89-409e-b781-ecb547e5b29a · outbound
This paper cites Hamiltonian simulation by qubitization.Quantum, 3:163.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Hamiltonian simulation by qubitization.Quantum, 3:163
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T05:23:22.133929Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 109a4fbd-aa99-49a8-af3c-79774288286d · outbound
This paper cites Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T05:23:22.129729Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation e7530452-cd09-4fcd-8d8b-9ed7e79720fc · outbound
This paper cites Efficient Quantum Algorithms for Simulating Lindblad Evolution.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Efficient Quantum Algorithms for Simulating Lindblad Evolution
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T05:23:22.124976Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 5e93f054-67cb-498e-8e6f-4d0aad9774c0 · outbound
This paper cites Simulating Markovian Open Quantum Systems Using Higher-Order Series Expansion.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Simulating Markovian Open Quantum Systems Using Higher-Order Series Expansion
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T05:23:22.127664Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 8acee9b5-99ba-4192-8e05-462a388eaefe · outbound
This paper cites Simulating open quantum systems using Hamiltonian simulations.PRX quantum, 5(2):020332.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Simulating open quantum systems using Hamiltonian simulations.PRX quantum, 5(2):020332
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T05:23:22.131970Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 59bbdae2-eff5-424c-83c2-c7ceed22eb6a · outbound
This paper cites Quantum algorithms for scientific computation, April 2026.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Quantum algorithms for scientific computation, April 2026
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T05:23:22.146610Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation b128ce80-b4a4-48c4-8407-f01cb2604f04 · outbound
This paper cites Cambridge University Press.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Cambridge University Press
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T05:23:22.122792Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 0b6a8f8d-4945-4b72-a7fd-645d786a4835 · outbound
This paper cites Quantum algorithm for linear systems of equations.Physical review letters, 103(15):150502.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Quantum algorithm for linear systems of equations.Physical review letters, 103(15):150502
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T05:23:22.138008Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 839e831f-2f91-4454-a616-fc84913e4d43 · outbound
This paper cites Quantum algorithm for systems of linear equations with exponentially improved dependence on precision.SIAM Journal on Computing, 46(6):1920–1950.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Quantum algorithm for systems of linear equations with exponentially improved dependence on precision.SIAM Journal on Computing, 46(6):1920–1950
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T05:23:22.142604Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation f310f29b-068f-4edd-a0c3-15802d9d56be · outbound
This paper cites Optimal scaling quantum linear-systems solver via discrete adiabatic theorem.PRX quantum, 3(4):040303.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Optimal scaling quantum linear-systems solver via discrete adiabatic theorem.PRX quantum, 3(4):040303
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T05:23:22.144499Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 2d5f7499-32eb-4c4e-b9d5-06cd6fc2a847 · outbound
This paper cites Time-marching based quantum solvers for time-dependent linear differential equations.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Time-marching based quantum solvers for time-dependent linear differential equations
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T05:18:04.105984Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 572c8996-c0d9-46a5-954b-cd47882ea545 · outbound
This paper cites Linear combination of Hamiltonian simulation for nonunitary dynamics with optimal state preparation cost.Physical Review Letters, 131(15):150603.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Linear combination of Hamiltonian simulation for nonunitary dynamics with optimal state preparation cost.Physical Review Letters, 131(15):150603
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T05:18:04.108878Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation bf0c419e-2a06-4723-8bd1-1db35711b0b8 · outbound
This paper cites Quantum algorithm for linear non-unitary dynamics with near-optimal depen- dence on all parameters.Communications in Mathematical Physics, 407(1):19.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Quantum algorithm for linear non-unitary dynamics with near-optimal depen- dence on all parameters.Communications in Mathematical Physics, 407(1):19
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T05:18:04.118942Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 07103a33-b83e-4082-be7f-5ac1b8ee2530 · outbound
This paper cites High-order quantum algorithm for solving linear differential equations.Journal of Physics A: Mathe- matical and Theoretical, 47(10):105301.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization High-order quantum algorithm for solving linear differential equations.Journal of Physics A: Mathe- matical and Theoretical, 47(10):105301
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T05:18:04.088123Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation bf44fbeb-cc53-4570-bfbb-56c654a61964 · outbound
This paper cites Quantum algorithm for linear differential equations with exponentially improved dependence on precision.Communications in Mathematical Physics, 356(3):1057– 1081.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Quantum algorithm for linear differential equations with exponentially improved dependence on precision.Communications in Mathematical Physics, 356(3):1057– 1081
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T05:18:04.092102Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 8f4b0964-0921-4312-b741-cb61d89b8dfb · outbound
This paper cites Quantum Linear System Solvers: A Survey of Algorithms and Applications.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Quantum Linear System Solvers: A Survey of Algorithms and Applications
Reference 18
- Resolution
- verified exact
- arxiv_id, observed 2026-05-20T05:18:03.208391Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 5b9fb2ac-be47-4cfa-a208-2452661a78cb · outbound
This paper cites crc Press.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization crc Press
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T05:18:04.098495Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 9e76b8b7-d7fc-418a-9d24-66a487649d12 · outbound
This paper cites Springer.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Springer
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T05:18:04.085868Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 0cd7ee28-4695-467c-80f6-8dcd75d50bb4 · outbound
This paper cites The pricing of options and corporate liabilities.Journal of political economy, 81(3):637– 654.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization The pricing of options and corporate liabilities.Journal of political economy, 81(3):637– 654
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T05:18:04.100403Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 9552c6d8-9df5-49d7-8d8d-27b08a70cef2 · outbound
This paper cites Mathematical analysis of chemical reaction systems.Israel Journal of Chemistry, 58(6-7):733–741.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Mathematical analysis of chemical reaction systems.Israel Journal of Chemistry, 58(6-7):733–741
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T05:18:04.114801Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation a5dabb29-a6ad-46c3-96e5-059d1e9ecac2 · outbound
This paper cites Koopman–von Neumann approach to quantum simulation of nonlinear classical dynamics.Physical Review Research, 2(4):043102.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Koopman–von Neumann approach to quantum simulation of nonlinear classical dynamics.Physical Review Research, 2(4):043102
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T05:18:04.111151Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 60a55894-1837-4559-b6f9-9fd8adc1474e · outbound
This paper cites Variational quantum algorithms for nonlinear problems.Physical Review A, 101(1):010301.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Variational quantum algorithms for nonlinear problems.Physical Review A, 101(1):010301
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T05:18:04.112972Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 84c7779e-1c26-4ebb-bae3-12974c6ecdc0 · outbound
This paper cites Hybrid quantum-classical reservoir computing of thermal convection flow.Physical review research, 4(3):033176.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Hybrid quantum-classical reservoir computing of thermal convection flow.Physical review research, 4(3):033176
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T05:18:04.116818Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 484ae22a-fb6e-4a60-acd7-6baca6e9cfa9 · outbound
This paper cites A quantum algorithm to solve nonlinear differential equations.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization A quantum algorithm to solve nonlinear differential equations
Reference 26
- Resolution
- verified exact
- local_arxiv, observed 2026-05-20T05:18:03.214519Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation f7737311-6dda-4d00-ba7b-32f238f01363 · outbound
This paper cites Krovi, Nuno F.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Krovi, Nuno F
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T05:18:04.102242Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation df442035-6ebb-4d83-86d4-c46197bd0268 · outbound
This paper cites Quantum algorithms for general nonlinear dynamics based on the Carleman embedding.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Quantum algorithms for general nonlinear dynamics based on the Carleman embedding
Reference 28
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-05-20T05:18:03.220706Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 8ce9d5d0-cb2d-4b81-8036-b9cea17f2f49 · outbound
This paper cites Improved quantum algorithms for linear and nonlinear differential equations.Quantum, 7:913.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Improved quantum algorithms for linear and nonlinear differential equations.Quantum, 7:913
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T05:18:04.090166Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 8e84c9b5-8904-4666-a2b1-596b1675d290 · outbound
This paper cites Quantum algorithms for nonlinear dynamics: Revisiting Carleman linearization with no dissipative conditions.SIAM Journal on Scientific Computing, 47(2):A943–A970.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Quantum algorithms for nonlinear dynamics: Revisiting Carleman linearization with no dissipative conditions.SIAM Journal on Scientific Computing, 47(2):A943–A970
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T05:18:04.094059Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 393e844b-f176-404e-9348-c13517da4b8d · outbound
This paper cites Pivot rules for linear programming: a survey on recent theoretical developments.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Pivot rules for linear programming: a survey on recent theoretical developments
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T05:18:04.104081Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d9d4af35-556e-47ab-b1b5-4964594b3306 · outbound
This paper cites Athena scientific Belmont, MA.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Athena scientific Belmont, MA
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T05:18:04.078177Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 67bde491-49c7-498a-86ae-f1e2c8819689 · outbound
This paper cites Explicit block encodings of boundary value problems for many-body elliptic operators.Quantum, 9:1764.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Explicit block encodings of boundary value problems for many-body elliptic operators.Quantum, 9:1764
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T05:18:04.080183Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 51fe8850-d60e-4a62-9146-75b38d4a6b58 · outbound
This paper cites Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections
Reference 34
- Resolution
- verified exact
- arxiv_id, observed 2026-05-20T05:18:03.202038Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation e139ab30-8e92-4842-9c5f-5d89dd148bfa · outbound
This paper cites An efficient quantum algorithm for simulating polynomial dynamical systems.Quantum Information Processing, 23(3):105.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization An efficient quantum algorithm for simulating polynomial dynamical systems.Quantum Information Processing, 23(3):105
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T05:18:04.068358Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d19b874d-7b33-41e5-a1f6-f59b422842aa · outbound
This paper cites Katz and G.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Katz and G
Reference 36
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-05-20T05:18:03.217385Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation f3a98da9-5dec-4961-9fa5-ecf5dba90324 · outbound
This paper cites Quantum homotopy perturbation method for nonlinear dissipative ordinary differential equations.New Journal of Physics, 23(12):123035.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Quantum homotopy perturbation method for nonlinear dissipative ordinary differential equations.New Journal of Physics, 23(12):123035
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T05:18:04.076129Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation aa1abc21-b49e-44ad-aa77-b82f046783bf · outbound
This paper cites Quantum algorithm for nonlinear differential equations.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Quantum algorithm for nonlinear differential equations
Reference 38
- Resolution
- verified exact
- arxiv_id, observed 2026-05-20T05:18:03.223663Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d34e3ca0-ac7a-463d-b864-693d4e870259 · outbound
This paper cites Divergence-free algorithms for solving nonlinear differential equations on quantum computers.Physical Review Research, 8(1):013057.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Divergence-free algorithms for solving nonlinear differential equations on quantum computers.Physical Review Research, 8(1):013057
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T05:18:04.082205Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation ed335c12-0f2f-4f94-bfb1-8006df1c5a39 · outbound
This paper cites Novikau and I.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Novikau and I
Reference 40
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-05-20T05:18:03.211709Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 62bf003d-6a4f-45aa-b02a-c1182f0db528 · outbound
This paper cites Jennings, K.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Jennings, K
Reference 41
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-05-20T05:18:03.205001Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 04dd759e-53a0-4d63-a9b3-71df65535550 · outbound
This paper cites Quantum simulation of partial differential equations via Schr¨ odingerization.Phys.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Quantum simulation of partial differential equations via Schr¨ odingerization.Phys
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T05:18:04.070207Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 86f635fb-236e-4f6b-a4ad-5affdecaa87b · outbound
This paper cites Hamiltonian simulation with nearly optimal dependence on all parameters.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Hamiltonian simulation with nearly optimal dependence on all parameters
Reference 43
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T05:18:04.072162Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 306af7a3-9a16-4a8a-9447-4ef7bfb87d9d · outbound
This paper cites Quantum differential equation solvers: Limitations and fast- forwarding.Communications in Mathematical Physics, 406(8):189.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Quantum differential equation solvers: Limitations and fast- forwarding.Communications in Mathematical Physics, 406(8):189
Reference 44
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T05:18:04.074176Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d5ac912f-9b60-4eaa-892e-31bd459be1a2 · outbound
This paper cites The cost of solving linear differential equations on a quantum computer: fast-forwarding to explicit resource counts.Quantum, 8:1553.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization The cost of solving linear differential equations on a quantum computer: fast-forwarding to explicit resource counts.Quantum, 8:1553
Reference 45
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T05:18:04.084110Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation e69cf330-826a-44dc-ad37-c10b862d8b52 · outbound
This paper cites Fast-forwarding quantum algorithms for linear dissipative differential equations.Quantum, 10:1986.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Fast-forwarding quantum algorithms for linear dissipative differential equations.Quantum, 10:1986
Reference 46
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T05:18:04.095984Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 4d8b98cd-587e-4988-b35e-07ac013ae53d · outbound
This paper cites Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations
Reference 47
- Resolution
- verified exact
- arxiv_id, observed 2026-05-20T05:18:03.226983Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 9d963e31-72e0-496c-a03b-9e5260acef57 · outbound
This paper cites Succinct description and efficient simulation of non-Markovian open quantum systems.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Succinct description and efficient simulation of non-Markovian open quantum systems
Reference 48
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T05:23:22.118384Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 13a203f3-9732-496a-b0f3-c7dcb47916c7 · outbound
This paper cites Adapting the range of validity for the carleman linearization.Advances in Radio Science, 14:51–54.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Adapting the range of validity for the carleman linearization.Advances in Radio Science, 14:51–54
Reference 49
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T05:23:22.120953Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 864b2ab6-699e-4b18-963b-33fc75618dbc · outbound
This paper cites World Scientific.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization World Scientific
Reference 50
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T05:23:22.150591Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 0f998e45-bfe6-4116-9d15-0fb5f39ad9c6 · outbound
This paper cites PhD thesis, University of Bremen.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization PhD thesis, University of Bremen
Reference 51
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T05:23:22.148537Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation a400bddc-1c33-4ce9-9eef-ca6254bad075 · outbound
This paper cites Lemma B.1(General system: short time bound of∥v(t)∥).Considerv(t)satisfying Eq.(22).
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Lemma B.1(General system: short time bound of∥v(t)∥).Considerv(t)satisfying Eq.(22)
Reference 52
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T05:23:22.153057Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 3ed980fc-bbe7-4b8d-933b-1c01b7732314 · outbound
This paper cites an unresolved cited work.
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization Unresolved cited work
Reference 53
- Resolution
- unresolved
- raw_fallback, observed 2026-05-20T05:23:22.154990Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Pith citing papers
Observation cc0cce77-2bbd-45e1-b702-27fd28912a8b · inbound
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions cites this paper.
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization
Reference 39
- Resolution
- verified exact
- local_arxiv, observed 2026-07-02T03:46:32.237452Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 7baff0bf-b8b8-4cf8-a100-0b2da6dfc28b · inbound
From Nonlinear Stochastic Differential Equations to Quantum Channels: The Kolmogorov--Lindblad Mapping cites this paper.
From Nonlinear Stochastic Differential Equations to Quantum Channels: The Kolmogorov--Lindblad Mapping Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization
Reference 28
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T04:48:39.779603Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.