Paper Citation Record · LEDGER

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things

As of 10 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 1 inbound Pith citation observation for arXiv:2507.03714.

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

pith.paper-citation-record.v1
2507.03714 v2

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:11:36.176763Z

measured 44 of 44 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-13T01:18:30.124893Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

43 of 43 outbound references displayed

verified exact1
verified fuzzy36
unresolved6
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 438710b2-362b-4747-a133-46ecbfe93186 · outbound

This paper cites an unresolved cited work.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:11:36.586950Z

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Observation 47aa4308-07c4-488a-b894-9777f7ff1c01 · outbound

This paper cites an unresolved cited work.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:11:36.580630Z

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Observation a2c348ba-5f8d-49b3-93f5-f850217e22c7 · outbound

This paper cites Thus, we get a total of 1+2(k−1)+1+1 = 2 k+1 C nX gates completing the proof.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things Thus, we get a total of 1+2(k−1)+1+1 = 2 k+1 C nX gates completing the proof

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:11:36.515954Z

Source-reported events for the cited work

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Observation c6ff61f4-cf1c-482e-bb2d-fc564bf26a39 · outbound

This paper cites In this case, k = 1 as the second term in the tensor product is I.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things In this case, k = 1 as the second term in the tensor product is I

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:11:36.574702Z

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Observation ff0690f1-cfa2-4e55-8579-db0ba6d58e7c · outbound

This paper cites a0 X q0 X q1 I q2 I FIG.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things a0 X q0 X q1 I q2 I FIG

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:11:36.568575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9b7f4a08-8cf9-4b80-a23c-b2596843df81 · outbound

This paper cites Note that most significant bit corresponds to the ancilla qubit.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things Note that most significant bit corresponds to the ancilla qubit

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:11:36.562709Z

Source-reported events for the cited work

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Observation a1e61f23-8758-4402-a629-0bf4f72bbb0e · outbound

This paper cites The second permutation (r2 ↔ r′.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things The second permutation (r2 ↔ r′

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:11:36.555977Z

Source-reported events for the cited work

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Observation 3f0e048a-1f6c-4844-bb69-ff00782e66b1 · outbound

This paper cites The target is always on the ancillaa0.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things The target is always on the ancillaa0

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:11:36.549597Z

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Observation 94799164-d576-4957-8b20-616e8f355dbe · outbound

This paper cites Finally using the procotols defined in Lem 6, 7 and following the same analysis in the proof of Thm.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things Finally using the procotols defined in Lem 6, 7 and following the same analysis in the proof of Thm

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:11:36.542879Z

Source-reported events for the cited work

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Observation 8f44d0ef-0b68-4d4e-ab75-0e537c9b78ff · outbound

This paper cites This can be done using a single C nX gate by Lemma 1 as they differ by one bit.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things This can be done using a single C nX gate by Lemma 1 as they differ by one bit

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:11:36.529284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9b297c4d-c795-4116-9476-21bc652523f4 · outbound

This paper cites These rows differ by k bits and require 2( k − 1)+1 C nX gates by induction hypothesis.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things These rows differ by k bits and require 2( k − 1)+1 C nX gates by induction hypothesis

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:11:36.522469Z

Source-reported events for the cited work

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Observation 6c2f1421-2a64-4dcd-b3fd-8c8002e26238 · outbound

This paper cites Ef- ficient variational quantum linear solver for structured sparse matrices.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things Ef- ficient variational quantum linear solver for structured sparse matrices

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:11:36.445146Z

Source-reported events for the cited work

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Observation 851085ef-dfdf-4840-8bd6-4cd91bd73e1a · outbound

This paper cites The variational quan- tum eigensolver: a review of methods and best practices.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things The variational quan- tum eigensolver: a review of methods and best practices

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:11:36.509590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c144596c-5025-4aec-8a23-040ef0f5d801 · outbound

This paper cites Variational quantum linear solver.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things Variational quantum linear solver

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-06T20:11:36.117665Z

Source-reported events for the cited work

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Observation 59699c7e-c270-4656-bf7a-455cd4492605 · outbound

This paper cites Qubitization of arbitrary basis quantum chem- istry leveraging sparsity and low rank factor- ization.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things Qubitization of arbitrary basis quantum chem- istry leveraging sparsity and low rank factor- ization

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:11:36.499056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 93e1ca36-48f0-4065-8e13-31a4b37307f8 · outbound

This paper cites Hamil- tonian simulation by qubitization.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things Hamil- tonian simulation by qubitization

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:11:36.492988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1c0d66d0-fd63-4b30-b8d9-ba11ffdfa753 · outbound

This paper cites Quan- tum signal processing.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things Quan- tum signal processing

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:11:36.486910Z

Source-reported events for the cited work

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Observation df6614d4-80b0-424a-8a46-63a7ecb39fa6 · outbound

This paper cites Quantum singular value transformation and beyond: exponential im- provements for quantum matrix arithmetics.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things Quantum singular value transformation and beyond: exponential im- provements for quantum matrix arithmetics

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:11:36.480583Z

Source-reported events for the cited work

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Observation 869d633d-083b-4750-9eab-e444819d7ddf · outbound

This paper cites The theory of variational hybrid quantum-classical algo- rithms.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things The theory of variational hybrid quantum-classical algo- rithms

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:11:36.474807Z

Source-reported events for the cited work

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Observation 1765015d-c931-4a33-b12a-0c76cdfd4e69 · outbound

This paper cites easy” to implement, i.e., simple unitaries with low- depth circuits, can be added to the Sigma ba- sis. This flexibility makes our approach truly a linear combination on “things.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things easy” to implement, i.e., simple unitaries with low- depth circuits, can be added to the Sigma ba- sis. This flexibility makes our approach truly a linear combination on “things

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:11:36.536293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 2e50b3f2-6bae-4d1f-8a76-f174119c469c · outbound

This paper cites Application of fermionic marginal constraints to hybrid quantum algorithms.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things Application of fermionic marginal constraints to hybrid quantum algorithms

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:11:36.468898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 0b116337-d878-4036-a161-6dde0dc39a54 · outbound

This paper cites Predicting many properties of a quan- tum system from very few measurements.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things Predicting many properties of a quan- tum system from very few measurements

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:11:36.463127Z

Source-reported events for the cited work

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Observation bf30b98f-cb95-4cc1-94ef-ea7ca4515cb1 · outbound

This paper cites Precise mea- surement of quantum observables with neural- network estimators.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things Precise mea- surement of quantum observables with neural- network estimators

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:11:36.457021Z

Source-reported events for the cited work

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Observation 1b5dfeee-3d3d-4a65-a8c6-21ec7c9078f1 · outbound

This paper cites Variational quantum algorithm 22 for the poisson equation.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things Variational quantum algorithm 22 for the poisson equation

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:11:36.450981Z

Source-reported events for the cited work

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Observation a14b5e01-884d-4f9f-b8fe-44f0e317d5e0 · outbound

This paper cites Quan- tum computation and quantum information.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things Quan- tum computation and quantum information

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:11:36.439229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 4ecf5d0b-c3a7-4c6c-89fd-6692c3fb48de · outbound

This paper cites Tensorized pauli decomposi- tion algorithm.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things Tensorized pauli decomposi- tion algorithm

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:11:36.433251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b30bcd9f-c1c7-4208-810a-0e6378430ca9 · outbound

This paper cites Efficient quan- tum algorithm for dissipative nonlinear differ- ential equations.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things Efficient quan- tum algorithm for dissipative nonlinear differ- ential equations

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:11:36.427560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 2b5d878e-9a13-4db8-8ffe-94306a8f79b7 · outbound

This paper cites Po- tential quantum advantage for simulation of fluid dynamics.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things Po- tential quantum advantage for simulation of fluid dynamics

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:11:36.421418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 8ceec6b2-4ad4-48c3-bcf9-8d4ff888a852 · outbound

This paper cites Variational quantum solutions to the advection–diffusion equation for applications in fluid dynamics.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things Variational quantum solutions to the advection–diffusion equation for applications in fluid dynamics

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:11:36.415610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b159cacb-edc4-46dc-b841-c8935e6ee365 · outbound

This paper cites An efficient quantum algorithm for simulating polynomial dynamical systems.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things An efficient quantum algorithm for simulating polynomial dynamical systems

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:11:36.409917Z

Source-reported events for the cited work

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Observation f822874f-d245-4e2f-b4bb-6e546491045b · outbound

This paper cites Variational quantum framework for nonlinear pde constrained optimization us- ing carleman linearization.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things Variational quantum framework for nonlinear pde constrained optimization us- ing carleman linearization

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:11:36.403903Z

Source-reported events for the cited work

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Observation 93526065-f240-49b7-829c-505b5592ac06 · outbound

This paper cites An efficient decomposition of the carleman linearized burgers’ equation.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things An efficient decomposition of the carleman linearized burgers’ equation

Reference 32

Resolution: verified exact; raw_fallback, observed 2026-08-06T20:11:36.339374Z

Source-reported events for the cited work

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Observation c9e057ec-c595-4908-ad82-ccfa0c88033a · outbound

This paper cites an unresolved cited work.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:11:36.397770Z

Source-reported events for the cited work

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Observation 787a62ec-0a5f-4da9-9b14-0b8aa9b3ccbe · outbound

This paper cites Quantum circuit for multi-qubit Toffoli gate with optimal resource.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things Quantum circuit for multi-qubit Toffoli gate with optimal resource

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-06T20:11:36.158938Z

Source-reported events for the cited work

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Observation c72b564c-3783-4ab5-b2fd-013102d04fcb · outbound

This paper cites N-body interactions between trapped ion qubits via spin-dependent squeezing.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things N-body interactions between trapped ion qubits via spin-dependent squeezing

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:11:36.392046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 11035748-4f63-4ab3-8c7a-b64b6b3d8290 · outbound

This paper cites Lecture notes on quantum algorithms for scientific computation, 2022.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things Lecture notes on quantum algorithms for scientific computation, 2022

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:11:36.385957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 575bf85a-eba4-4ea7-bcc6-3504ff19e41a · outbound

This paper cites Fable: Fast approximate quantum circuits for block- encodings.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things Fable: Fast approximate quantum circuits for block- encodings

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:11:36.379856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d8024873-ea21-411d-a40e-7a14454a6e47 · outbound

This paper cites Explicit quantum circuits for block encodings of certain sparse matrices.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things Explicit quantum circuits for block encodings of certain sparse matrices

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:11:36.373382Z

Source-reported events for the cited work

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Observation c156e3cd-1159-4d52-a232-bea4f8cc55bc · outbound

This paper cites Block-encoding structured ma- trices for data input in quantum computing.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things Block-encoding structured ma- trices for data input in quantum computing

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:11:36.366744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 59ae6b43-9594-4c50-a464-380625dcd6d7 · outbound

This paper cites Quantum signal processing and singular value transformation: Lecture 1, 2023.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things Quantum signal processing and singular value transformation: Lecture 1, 2023

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:11:36.360093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 4e472312-fe76-455b-8a44-8a4dbe8014be · outbound

This paper cites Circuit com- plexity of quantum access models for encod- ing classical data.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things Circuit com- plexity of quantum access models for encod- ing classical data

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:11:36.353126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 75a731f3-6fa2-4991-8d41-2f2cfd58a02e · outbound

This paper cites On unitary dilations of contrac- tions.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things On unitary dilations of contrac- tions

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:11:36.346346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9c5a8082-bd97-4cde-b0c9-4373135e1ea3 · outbound

This paper cites Variational Quantum Framework for Partial Differential Equation Constrained Optimization.

Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things Variational Quantum Framework for Partial Differential Equation Constrained Optimization

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-06T20:11:36.176763Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation d6e471d7-39a4-452b-a25c-fc83ca4c8e39 · inbound

A Scalable Approach to Solve the Carleman Linearized Burgers' Equation on a Quantum Computer cites this paper.

A Scalable Approach to Solve the Carleman Linearized Burgers' Equation on a Quantum Computer Efficient Quantum Access Model for Sparse Structured Matrices using Linear Combination of Things

Reference 32

Resolution: unresolved; no resolver link, observed 2026-07-13T01:18:30.124893Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.