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Paper Citation Record · LEDGER

Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

As of 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 43 inbound Pith citation observations for arXiv:1806.01838.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
1806.01838 v1

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measured 0 of 0 reference resolution

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measured 43 of 43 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 43 of 43 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T04:51:12.146311Z

measured 1 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-05T02:28:24.338817Z

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External citation measurements

498
pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation bbdce93c-d489-4319-8dc2-37d050992d69 · inbound

Quantum Expectation-Maximization for Gaussian Mixture Models cites this paper.

Quantum Expectation-Maximization for Gaussian Mixture Models Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 24

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Observation 5956c680-00a8-4fbe-ae87-d424594a892b · inbound

Quantum Algorithms for Portfolio Optimization cites this paper.

Quantum Algorithms for Portfolio Optimization Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 12

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source=pdf_text observed=2026-08-14T11:51:52.201786Z digest=sha256:a388cbabdf3af2fab1ad0fb437138c3a4eb4cce5008c9f68028c0d729373c7a3

Observation 500dca19-1aec-44a5-9930-67e91c94d25c · inbound

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

A shortcut to an optimal quantum linear system solver Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 16

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arxiv_id, observed 2026-05-23T23:48:39.568795Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-23T23:46:47.300069Z digest=sha256:49a3620b7f04d018caeb6ca909d3f1341b42b61a4f2890553667f963e859cc81

Observation 8e6ccbd6-149e-4337-9f3d-5f38085cf10f · inbound

Polynomial time constructive decision algorithm for multivariable quantum signal processing cites this paper.

Polynomial time constructive decision algorithm for multivariable quantum signal processing Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 11

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arxiv_id, observed 2026-05-23T20:28:24.844033Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-23T20:25:50.769857Z digest=sha256:ff08c0062f8b9b7eb96bb2c9af2e3d725495e74668816ed808523624e0b4893a

Observation 03e715bf-5749-4d64-94fe-ea395e31d32c · inbound

A preconditioned inexact infeasible quantum interior point method for linear optimization cites this paper.

A preconditioned inexact infeasible quantum interior point method for linear optimization Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 11

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source=pdf_text observed=2026-08-11T15:11:42.312014Z digest=sha256:bfb11accd9693c1939584d9b864132189305f56cf93e7b9c9da1aa4fa63e0743

Observation 95e36829-7875-4309-96dc-1febcc024a8e · inbound

On estimating Schatten norm and power distances between quantum states cites this paper.

On estimating Schatten norm and power distances between quantum states Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 36

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source=arxiv_source observed=2026-08-16T04:51:12.146311Z digest=sha256:a6d1aa153379c726e6a07e104688558f51674022392d48a569cd2a150982a182

Observation beb10d7d-d45e-489c-a289-fdeb5110dbf1 · inbound

Krein space quantization and New Quantum Algorithms cites this paper.

Krein space quantization and New Quantum Algorithms Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 24

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source=arxiv_source observed=2026-08-07T14:17:36.592493Z digest=sha256:68d244de2288d39a177250721ebfb836481634287d080d5e4a98cd24ea6e9179

Observation 946aadc9-3cec-4984-b77c-313ca81fa6ae · inbound

A distillation-teleportation protocol for fault-tolerant QRAM cites this paper.

A distillation-teleportation protocol for fault-tolerant QRAM Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 104

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source=pdf_text observed=2026-08-07T14:15:02.458109Z digest=sha256:60754103dd009799a2627c25d291f01fc80d661b3b743d37cf6a6896357929a5

Observation 39c3f4b9-1010-4e3a-8ee6-d276d5ca19b4 · inbound

Obtaining continuum physics from dynamical simulations of Hamiltonian lattice gauge theories cites this paper.

Obtaining continuum physics from dynamical simulations of Hamiltonian lattice gauge theories Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 158

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source=pdf_text observed=2026-08-15T19:32:49.308346Z digest=sha256:6e9f50c12b2e5d5464b53ec488e9517eb66ae591bec23b8b0551cc459fd96f21

Observation de012f3c-ceea-4312-896f-3671f3850a83 · inbound

Singular value transformation for unknown quantum channels cites this paper.

Singular value transformation for unknown quantum channels Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 1

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source=pdf_text observed=2026-08-06T21:43:07.522526Z digest=sha256:2de06dc1bf3ad6fc0d4683d534bdda21a1093615009d7b7030b11b05cce3f0b5

Observation 1518c8d7-c837-4d74-b7d1-c08f942481cf · inbound

Probabilistic quantum algorithm for Lyapunov equations and matrix inversion cites this paper.

Probabilistic quantum algorithm for Lyapunov equations and matrix inversion Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 22

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arxiv_id, observed 2026-05-19T00:02:54.061601Z

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Observation fe66e357-6b2d-47fb-9615-5ef4b02f33b6 · inbound

Matrix Inversion by Quantum Walk cites this paper.

Matrix Inversion by Quantum Walk Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 20

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source=pdf_text observed=2026-08-05T22:54:35.223636Z digest=sha256:0315da80ce830439d835753ec4eec6b6a5a3172d5c8bb29d16c5ab74e70e4510

Observation 134ac25e-de7a-4dd1-b773-cf94fd66243c · inbound

A quantum algorithm for modular flow cites this paper.

A quantum algorithm for modular flow Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 20

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source=pdf_text observed=2026-08-05T17:22:27.663623Z digest=sha256:12e236273fc5e8e27c8aeea838e6988bb5162274f59359012b026f213acd0f96

Observation 8fa16d0e-4d23-423b-90f3-834702cca75c · inbound

Large time-step discretisation of adiabatic quantum dynamics cites this paper.

Large time-step discretisation of adiabatic quantum dynamics Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 41

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source=pdf_text observed=2026-08-05T14:04:45.761705Z digest=sha256:50f419b4f0a6c77a39398261e500c97c1f702aaceccad39a059b96a4f08f9e7a

Observation 92ad760c-4bea-49a0-9cd0-4de208954080 · inbound

Circuit-Efficient Randomized Quantum Simulation of Non-Unitary Dynamics with Observable-Driven and Symmetry-Aware Designs cites this paper.

Circuit-Efficient Randomized Quantum Simulation of Non-Unitary Dynamics with Observable-Driven and Symmetry-Aware Designs Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 62

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source=pdf_text observed=2026-08-04T21:47:41.675580Z digest=sha256:c890797daeb027104062e200292aa0c8614e40bc8e5859030da319b4325c2336

Observation 68955c17-05d2-486a-9d60-75e7a3e1297d · inbound

Universal initial state preparation for first quantized quantum simulations cites this paper.

Universal initial state preparation for first quantized quantum simulations Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 78

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Observation 747596af-09ad-4868-a82d-55d2e546e054 · inbound

An Improved Quantum Algorithm for 3-Tuple Lattice Sieving cites this paper.

An Improved Quantum Algorithm for 3-Tuple Lattice Sieving Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 20

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source=arxiv_source observed=2026-08-04T10:51:41.772611Z digest=sha256:431c0e636dad7742e8a448b21d1909dea1310823c4485497adaef41bef7f14ed

Observation 590fc340-7dae-4e99-9885-a47e42458497 · inbound

Random dilation superchannel cites this paper.

Random dilation superchannel Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 37

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arxiv_id, observed 2026-05-21T17:10:24.912090Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation ee681a05-b8ae-407f-bf87-dfd57b4d4a5f · inbound

Quantum simulation of massive Thirring and Gross--Neveu models for arbitrary number of flavors cites this paper.

Quantum simulation of massive Thirring and Gross--Neveu models for arbitrary number of flavors Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 54

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arxiv_id, observed 2026-05-15T19:16:31.255376Z

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Observation a35e2d74-bc46-484a-959d-a5e39dbb8409 · inbound

PyEncode: An Open-Source Library for Structured Quantum State Preparation cites this paper.

PyEncode: An Open-Source Library for Structured Quantum State Preparation Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 2

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arxiv_id, observed 2026-05-14T01:23:34.424699Z

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Observation e75b0d73-4d8e-49df-8912-7397d92f3d0f · inbound

PyEncode: An Open-Source Library for Structured Quantum State Preparation cites this paper.

PyEncode: An Open-Source Library for Structured Quantum State Preparation Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 2

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Observation 1714b962-ed70-4593-b647-045929433ba6 · inbound

Phase-Stable Hologram Updates for Large-Scale Neutral-Atom Array Reconfiguration cites this paper.

Phase-Stable Hologram Updates for Large-Scale Neutral-Atom Array Reconfiguration Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 53

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arxiv_id, observed 2026-05-10T22:20:48.939845Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 89f08344-9774-4765-9952-239b0f3e20b1 · inbound

Nonisothermal global-pressure exactness in fractured multiphase flow with aperture feedback cites this paper.

Nonisothermal global-pressure exactness in fractured multiphase flow with aperture feedback Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 4

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 794b015b-890b-41aa-9c4b-0fa533680120 · inbound

Constrained Optimal Polynomials for Quantum Linear System Solvers cites this paper.

Constrained Optimal Polynomials for Quantum Linear System Solvers Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 4

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arxiv_id, observed 2026-05-11T13:56:03.513819Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 990374c8-36fd-4768-8c7f-14fa97c807f5 · inbound

Tightening energy-based boson truncation bound using Monte Carlo-assisted methods cites this paper.

Tightening energy-based boson truncation bound using Monte Carlo-assisted methods Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 184

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Observation 0fc25218-6db0-4a40-ad8f-1b4c4bb5f3c2 · inbound

Tightening energy-based boson truncation bound using Monte Carlo-assisted methods cites this paper.

Tightening energy-based boson truncation bound using Monte Carlo-assisted methods Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 184

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arxiv_id, observed 2026-05-15T06:29:49.021631Z

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Observation 862695df-912f-4347-86f0-042bb93ed002 · inbound

Tightening energy-based boson truncation bound using Monte Carlo-assisted methods cites this paper.

Tightening energy-based boson truncation bound using Monte Carlo-assisted methods Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 184

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arxiv_id, observed 2026-05-21T00:49:19.114237Z

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Observation 206324e3-001d-4fa9-8650-3a321272d909 · inbound

Fault-Tolerant Resource Comparison of Qudit and Qubit Encodings for Diagonal Quadratic Operators cites this paper.

Fault-Tolerant Resource Comparison of Qudit and Qubit Encodings for Diagonal Quadratic Operators Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 22

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arxiv_id, observed 2026-05-12T09:01:25.735836Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation c31f6a3b-2726-4f6d-a79f-1559baf56217 · inbound

Fault-Tolerant Resource Comparison of Qudit and Qubit Encodings for Diagonal Quadratic Operators cites this paper.

Fault-Tolerant Resource Comparison of Qudit and Qubit Encodings for Diagonal Quadratic Operators Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 22

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arxiv_id, observed 2026-05-21T09:39:57.587581Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-21T09:36:07.229912Z digest=sha256:5820f3b855aeb631c8f6e343505c8dfba8565629513489be2174f7c0f3675b97

Observation 444a47b8-2d15-470d-9a77-d20d4b31878d · inbound

Fault-Tolerant Resource Comparison of Qudit and Qubit Encodings for Diagonal Quadratic Operators cites this paper.

Fault-Tolerant Resource Comparison of Qudit and Qubit Encodings for Diagonal Quadratic Operators Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 22

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source=pdf_text observed=2026-08-02T15:25:09.269958Z digest=sha256:5c193d56ec64f8bab1391f874125faf42a00be2d20c1c28ca4f03c2084257297

Observation ac7741bd-64e1-4469-b820-e5300585d1eb · inbound

Quantum algorithm for solving differential equations using SLAC derivatives cites this paper.

Quantum algorithm for solving differential equations using SLAC derivatives Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 32

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arxiv_id, observed 2026-05-11T17:56:07.495972Z

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source=pdf_text observed=2026-05-08T16:54:00.906569Z digest=sha256:6c2f9095a821a52159ec3ff901405aca8e79c4f68bd91a8768c353099020b19f

Observation f54cee75-5c7d-407c-af0f-598d53b3033b · inbound

Quantum algorithm for solving differential equations using SLAC derivatives cites this paper.

Quantum algorithm for solving differential equations using SLAC derivatives Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 32

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arxiv_id, observed 2026-07-01T13:15:45.838749Z

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source=pdf_text observed=2026-06-30T23:49:18.703494Z digest=sha256:57e35fd05e050e975afb72b6be50bf5e6f343e33e2ab1f46613460bb4e403280

Observation eff32f66-7568-4980-ae06-86bfa77d5df1 · inbound

Unitaria: Quantum Linear Algebra via Block Encodings cites this paper.

Unitaria: Quantum Linear Algebra via Block Encodings Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 31

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arxiv_id, observed 2026-05-12T05:56:33.457032Z

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source=pdf_text observed=2026-05-12T04:45:45.598883Z digest=sha256:eab486266c4b8b3d1d7cbbc2f4aa6534224a9bd9467ed9a613aceeb5fea13cfd

Observation a174701a-9522-420d-931c-bf4a7e53d58b · inbound

Implementing Hamiltonian Renormalization Group Flow on Quantum Computers with VAPOR cites this paper.

Implementing Hamiltonian Renormalization Group Flow on Quantum Computers with VAPOR Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 63

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arxiv_id, observed 2026-07-03T08:57:47.563745Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 6d23c36c-ff36-4281-8f87-47815f602074 · inbound

Explicit Quantum Circuit Simulation of Nonlinear 1-Dimensional Fluid with Carleman-linearized Boltzmann Method cites this paper.

Explicit Quantum Circuit Simulation of Nonlinear 1-Dimensional Fluid with Carleman-linearized Boltzmann Method Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 36

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arxiv_id, observed 2026-07-03T14:28:31.956097Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 532f1a69-79cc-493e-abd9-602ef8e725a6 · inbound

A Machine-Verified Proof of a Quantum-Optimization Conjecture cites this paper.

A Machine-Verified Proof of a Quantum-Optimization Conjecture Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 35

Resolution
verified exact
arxiv_id, observed 2026-06-30T06:44:19.036979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T06:40:20.723937Z digest=sha256:b35b6a10374a2366b417c12792e5f24197bde1082374ed56b9a7e552ad32a888

Observation 44fc7214-37d8-419b-a6df-519ffb7c9640 · inbound

Unbiased Hamiltonian Simulation by Reversing Trotter Error Dynamics cites this paper.

Unbiased Hamiltonian Simulation by Reversing Trotter Error Dynamics Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 17

Resolution
verified exact
arxiv_id, observed 2026-06-30T06:34:18.788600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T06:32:03.225826Z digest=sha256:0f068dfc5f879548006ce3c500a5dd0b75e646993d3574087ca216437ff76f82

Observation bcf9c205-36b9-4b7d-beed-75a7f830a30b · inbound

On estimating operator norm distance, with optimal trace distance estimation when one state is pure cites this paper.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 26

Resolution
unresolved
no resolver link, observed 2026-07-11T23:07:42.208429Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-11T23:07:42.208429Z digest=sha256:b334ef4378a1945e7884eed8f037d2e676e1eec1c3d798c480916fa89940a0f3

Observation 5e9ee1eb-77fc-4c21-aacc-6e3707d1dbf1 · inbound

Fixing Divergence in Carleman Linearization via Analytical Continuation cites this paper.

Fixing Divergence in Carleman Linearization via Analytical Continuation Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-07-08T22:15:39.320560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-08T22:08:21.455010Z digest=sha256:b152f1391e51d901b8dbb17ac993fdd0cdbe41522021f639543c8fa72f2177cc

Observation fd3a6985-7b73-46b6-9019-9f46065d9abe · inbound

Fixing Divergence in Carleman Linearization via Analytical Continuation cites this paper.

Fixing Divergence in Carleman Linearization via Analytical Continuation Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-02T08:28:14.128462Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T08:28:14.128462Z digest=sha256:9e0b8446e5006978fa115f7ca9c229b39945a5095576b53f9cbf16e697d8126d

Observation 03dac125-f4a1-4ce3-8d91-eab9bf7bb581 · inbound

Faster quantum linear system solver beyond the condition number cites this paper.

Faster quantum linear system solver beyond the condition number Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 16

Resolution
metadata mismatch
local_arxiv, observed 2026-07-09T02:35:53.531203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-11T11:50:26.030339Z digest=sha256:a2a1784d21efcee558b2be8865a4f51710708f6ffef076550b56e6ef94eb48d2

Observation 3ff97260-48be-4d7b-bad0-5ba352a2fae8 · inbound

Scalable Quantum Machine Learning: Trainability, Expressivity and Efficiency cites this paper.

Scalable Quantum Machine Learning: Trainability, Expressivity and Efficiency Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 8

Resolution
unresolved
no resolver link, observed 2026-07-31T23:26:41.024604Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T23:26:41.024604Z digest=sha256:0857036e3090585f80a0f0f2ce74429d494b29d98dc92805072c357b18df720f

Observation a0551a9e-162c-4bd1-a782-109fae9c132a · inbound

A unifying framework for quantum algorithms for time-dependent non-unitary dynamics cites this paper.

A unifying framework for quantum algorithms for time-dependent non-unitary dynamics Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-10T14:24:45.035120Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T14:24:45.035120Z digest=sha256:374ea57de5a9bf0937345fbf1e4148e157417794f7d8a21af54c4a632cb80883