Paper Citation Record · LEDGER

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution

As of 23 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 1 inbound Pith citation observation for arXiv:2504.12607.

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

pith.paper-citation-record.v1
2504.12607 v2

Coverage vector

measured 49 of 49 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T12:33:28.955566Z

measured 50 of 50 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:06:51.534088Z

measured 1 of 1 external citation measurements

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

Source: pith, observed 2026-08-10T05:30:23.456663Z

Reference resolution

49 of 49 outbound references displayed

verified exact1
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External citation measurements

0
pith, observed 2026-08-10T05:30:23.456663Z

Outbound references

Observation a386852c-c6de-4bbd-a8e1-1678ce29679a · outbound

This paper cites A Quantum Approximate Optimization Algorithm.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution A Quantum Approximate Optimization Algorithm

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-16T12:33:28.292461Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0f340238-76c8-4f37-a547-5cee654f8d72 · outbound

This paper cites An expressive ansatz for low-depth quantum approximate optimisation,.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution An expressive ansatz for low-depth quantum approximate optimisation,

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:33:30.682727Z

Source-reported events for the cited work

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Observation 5ac6f7e6-95c3-43e6-a3d0-9d2b1451eee0 · outbound

This paper cites The quantum alternating operator ansatz on maximum k-vertex cover,.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution The quantum alternating operator ansatz on maximum k-vertex cover,

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:33:30.672597Z

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Observation de313be1-3252-470e-9bf7-d4339509f3ad · outbound

This paper cites Grover mixers for QAOA: Shifting complexity from mixer design to state preparation,.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution Grover mixers for QAOA: Shifting complexity from mixer design to state preparation,

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-16T12:33:28.327785Z

Source-reported events for the cited work

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Observation a271bac9-2ca3-4423-bb0e-b70307d10807 · outbound

This paper cites A feasibility-preserved quantum approximate solver for the capacitated vehicle routing problem,.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution A feasibility-preserved quantum approximate solver for the capacitated vehicle routing problem,

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:33:30.654057Z

Source-reported events for the cited work

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Observation aa59a91a-5ff1-4067-9628-24b5bda48654 · outbound

This paper cites Performance Upper Bound of Grover-Mixer Quantum Alternating Operator Ansatz.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution Performance Upper Bound of Grover-Mixer Quantum Alternating Operator Ansatz

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-16T12:33:29.187028Z

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Observation 7e78a296-f50f-466e-9316-6b7d157fa74b · outbound

This paper cites A review on quantum approximate optimization algorithm and its variants,.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution A review on quantum approximate optimization algorithm and its variants,

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-16T12:33:28.340341Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 91ff9fcb-d711-4a97-b46b-ba7a77090f42 · outbound

This paper cites Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets,.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets,

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-16T12:33:28.343827Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5d57b1b7-62be-4c59-a749-cdbedb0acd1c · outbound

This paper cites Multi-angle quantum approximate optimization algorithm,.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution Multi-angle quantum approximate optimization algorithm,

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-16T12:33:28.347089Z

Source-reported events for the cited work

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Observation 51d9ea48-6dcd-4427-b2f5-4a66895370f3 · outbound

This paper cites Barren plateaus in quantum neural network training landscapes,.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution Barren plateaus in quantum neural network training landscapes,

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-16T12:33:28.350419Z

Source-reported events for the cited work

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Observation ed9f0061-056f-4d80-9054-4352c6b11ebe · outbound

This paper cites Characterizing barren plateaus in quantum ans ¨atze with the adjoint representation,.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution Characterizing barren plateaus in quantum ans ¨atze with the adjoint representation,

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:33:30.523190Z

Source-reported events for the cited work

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Observation 81c032d9-fcf2-491c-90b5-831f7a42be0b · outbound

This paper cites A lie algebraic theory of barren plateaus for deep parameterized quantum circuits,.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution A lie algebraic theory of barren plateaus for deep parameterized quantum circuits,

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:33:30.433774Z

Source-reported events for the cited work

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Observation 425b6f83-576b-402d-a69c-6bd20494fb84 · outbound

This paper cites For fixed control parameters the quantum approximate optimization algorithm’s objective function value concentrates for typical instances,.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution For fixed control parameters the quantum approximate optimization algorithm’s objective function value concentrates for typical instances,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:33:30.341950Z

Source-reported events for the cited work

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Observation 995a42c5-1358-4e23-a1b3-835aed80aab4 · outbound

This paper cites Warm-starting quantum optimization,.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution Warm-starting quantum optimization,

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:33:30.330775Z

Source-reported events for the cited work

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Observation b2649b76-23f9-405b-b92e-aa31fb92f7ff · outbound

This paper cites Transferability of optimal qaoa parameters between random graphs,.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution Transferability of optimal qaoa parameters between random graphs,

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:33:30.320072Z

Source-reported events for the cited work

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Observation 64550974-d5b6-4cc2-bb3c-364e92d8b6b4 · outbound

This paper cites Quantum annealing initialization of the quantum approximate optimization algorithm,.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution Quantum annealing initialization of the quantum approximate optimization algorithm,

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:33:30.309956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 442ba23e-8550-475f-b276-1c282dd45479 · outbound

This paper cites Parameters fixing strategy for quantum approximate optimization algorithm,.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution Parameters fixing strategy for quantum approximate optimization algorithm,

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:33:30.300089Z

Source-reported events for the cited work

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Observation 0ea17b08-bb1b-4440-ad07-a5cdf7a1ebd4 · outbound

This paper cites A depth-progressive initialization strategy for quantum approximate optimization algorithm,.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution A depth-progressive initialization strategy for quantum approximate optimization algorithm,

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:33:30.290454Z

Source-reported events for the cited work

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Observation 0dcbc611-c039-428d-b22d-2c75adaa650b · outbound

This paper cites Space-efficient binary opti- mization for variational quantum computing,.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution Space-efficient binary opti- mization for variational quantum computing,

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:33:30.279732Z

Source-reported events for the cited work

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Observation a34bfa9c-3585-472c-ab23-673606e848a3 · outbound

This paper cites Xy-mixers: Analytical and numerical results for the quantum alternating operator ansatz,.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution Xy-mixers: Analytical and numerical results for the quantum alternating operator ansatz,

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:33:30.269794Z

Source-reported events for the cited work

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Observation 80256204-0c70-472e-acdd-7b6fa08ac7a6 · outbound

This paper cites Light Cone Cancellation for Variational Quantum Eigensolver in Solving Noisy Max-Cut.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution Light Cone Cancellation for Variational Quantum Eigensolver in Solving Noisy Max-Cut

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-16T12:33:28.469829Z

Source-reported events for the cited work

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Observation e1c0f5c9-f141-4266-bc6d-b24e04d48f7a · outbound

This paper cites Training saturation in layerwise quantum approximate optimization,.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution Training saturation in layerwise quantum approximate optimization,

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:33:30.259627Z

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Observation 3d907d7c-b803-4268-a516-5a7c06178a1b · outbound

This paper cites Iterative layerwise training for the quantum approximate optimization algorithm,.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution Iterative layerwise training for the quantum approximate optimization algorithm,

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:33:30.248710Z

Source-reported events for the cited work

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Observation 9d35f50d-43eb-4cc6-99f6-0b99836f4507 · outbound

This paper cites Determining eigenstates and thermal states on a quantum computer using quantum imaginary time evolution,.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution Determining eigenstates and thermal states on a quantum computer using quantum imaginary time evolution,

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:33:30.029445Z

Source-reported events for the cited work

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Observation 176cb0c0-12e4-4217-b82f-e2db40d52452 · outbound

This paper cites Variational ansatz-based quantum simulation of imaginary time evolu- tion,.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution Variational ansatz-based quantum simulation of imaginary time evolu- tion,

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:33:29.875918Z

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Observation 3e7fdeb3-a3da-414a-aa1e-50b61d765bf9 · outbound

This paper cites A variational solution of the time-dependent schrodinger equation,.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution A variational solution of the time-dependent schrodinger equation,

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:33:29.865546Z

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Observation 6ae6162d-2166-41d6-a784-ec5b1d3fdd25 · outbound

This paper cites Implementation of quan- tum imaginary-time evolution method on nisq devices by introducing nonlocal approximation,.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution Implementation of quan- tum imaginary-time evolution method on nisq devices by introducing nonlocal approximation,

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:33:29.854388Z

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Observation 46c417e2-981f-40f0-a5af-0d4acb2534d1 · outbound

This paper cites Solving maxcut with quantum imaginary time evolution,.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution Solving maxcut with quantum imaginary time evolution,

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:33:29.842629Z

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Observation 4258fc48-18e4-4cb5-ab3b-0bd0429e9508 · outbound

This paper cites Combinatorial optimization with quantum imaginary time evolution.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution Combinatorial optimization with quantum imaginary time evolution

Reference 29

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Source-reported events for the cited work

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Observation df1eff07-91a9-4961-9879-b66eacbe7358 · outbound

This paper cites Symmetry enhanced variational quantum imaginary time evolution.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution Symmetry enhanced variational quantum imaginary time evolution

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-16T12:33:28.533317Z

Source-reported events for the cited work

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Observation 6f0c861f-435e-4ab3-856f-0e3492391508 · outbound

This paper cites Imaginary hamiltonian variational ansatz for combinatorial optimiza- tion problems,.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution Imaginary hamiltonian variational ansatz for combinatorial optimiza- tion problems,

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-16T12:33:28.600903Z

Source-reported events for the cited work

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Observation 2c824e80-5894-4ccd-99d8-04c28e76bb05 · outbound

This paper cites Knapsack problem variants of qaoa for battery revenue optimisation,.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution Knapsack problem variants of qaoa for battery revenue optimisation,

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:33:29.832336Z

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Observation e7f0167a-fb20-4d31-a1f1-956a4915a73b · outbound

This paper cites Quantum optimization heuristics with an application to knapsack problems,.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution Quantum optimization heuristics with an application to knapsack problems,

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:33:29.821917Z

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Observation bb3097b8-49a1-4f6f-8b30-7585138857cf · outbound

This paper cites A quantum algorithm for solving 0-1 Knapsack problems.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution A quantum algorithm for solving 0-1 Knapsack problems

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-16T12:33:28.637178Z

Source-reported events for the cited work

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Observation 91905379-0c8f-4188-8403-e67d82e46650 · outbound

This paper cites Quantum computing techniques for multi-knapsack problems,.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution Quantum computing techniques for multi-knapsack problems,

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:33:29.811287Z

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Observation 8d8a39bc-579c-451a-84e8-001288da57fd · outbound

This paper cites Quantum relaxation for solving multiple knapsack problems,.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution Quantum relaxation for solving multiple knapsack problems,

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:33:29.770256Z

Source-reported events for the cited work

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Observation 68e95ac6-07f6-4a66-bd17-68590b41e394 · outbound

This paper cites Unbalanced penalization: a new approach to encode inequality constraints of combinatorial problems for quantum optimiza- tion algorithms,.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution Unbalanced penalization: a new approach to encode inequality constraints of combinatorial problems for quantum optimiza- tion algorithms,

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-16T12:33:28.648609Z

Source-reported events for the cited work

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Observation 71d1caac-6bd2-4f7b-acbb-abb30eee2fbf · outbound

This paper cites Improving performance in combinatorial optimization problems with inequality constraints: An evaluation of the unbalanced penalization method on d-wave advantage,.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution Improving performance in combinatorial optimization problems with inequality constraints: An evaluation of the unbalanced penalization method on d-wave advantage,

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-16T12:33:28.744791Z

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Observation ea4a12eb-3c63-4fbd-89b5-f007a17b0be5 · outbound

This paper cites Experiments in quadratic 0-1 programming,.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution Experiments in quadratic 0-1 programming,

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:33:29.575144Z

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Observation 21112461-1a38-4b42-a02c-886544b2b407 · outbound

This paper cites Remark on “algorithm 778: L-bfgs-b: Fortran subroutines for large-scale bound constrained optimization.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution Remark on “algorithm 778: L-bfgs-b: Fortran subroutines for large-scale bound constrained optimization

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-16T12:33:28.856402Z

Source-reported events for the cited work

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Observation 3339beec-6692-482d-a62b-2b0dcdfde38b · outbound

This paper cites an unresolved cited work.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:33:29.363423Z

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Observation cd454d7d-703b-4d00-b3e7-1348a27c9ba2 · outbound

This paper cites Backpropagation and stochastic gradient descent method,.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution Backpropagation and stochastic gradient descent method,

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:33:29.348033Z

Source-reported events for the cited work

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Observation 758909a5-b3be-4680-91a2-65a69393c6fd · outbound

This paper cites Quantum computing with Qiskit.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution Quantum computing with Qiskit

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-16T12:33:28.934483Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 628c8eba-50ba-45ee-96e2-058cbdd8571a · outbound

This paper cites Ibm quantum documentation.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution Ibm quantum documentation

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-16T12:33:28.937389Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 09a2c412-96e8-4673-a0e4-f400c4f08443 · outbound

This paper cites Gurobi Optimizer Reference Manual,.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution Gurobi Optimizer Reference Manual,

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-16T12:33:28.940973Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b6961d85-2cf4-474a-86f1-0076d572d5c5 · outbound

This paper cites Adaptive variational quantum imaginary time evolution approach for ground state preparation,.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution Adaptive variational quantum imaginary time evolution approach for ground state preparation,

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:33:29.314785Z

Source-reported events for the cited work

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Observation 2420e371-b428-4b8f-93f4-54f3c3f44d8b · outbound

This paper cites Time- dependent hamiltonian simulation with l1-norm scaling,.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution Time- dependent hamiltonian simulation with l1-norm scaling,

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:33:29.304117Z

Source-reported events for the cited work

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Observation e59eff14-b1f0-448a-8889-0fe83c40d64f · outbound

This paper cites Improving Quantum and Classical Decomposition Methods for Vehicle Routing.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution Improving Quantum and Classical Decomposition Methods for Vehicle Routing

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-16T12:33:28.955566Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9eb915d1-4de0-46be-a397-965d8051ba52 · outbound

This paper cites an unresolved cited work.

Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution Unresolved cited work

Reference 2024

Resolution: unresolved; raw_fallback, observed 2026-08-16T12:33:29.325156Z

Source-reported events for the cited work

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Pith citing papers

Observation 1fb07508-a738-43a7-a713-c0ecae007f75 · inbound

Optimization by VarQITE on Adaptive Variational Quantum Kolmogorov-Arnold Network cites this paper.

Optimization by VarQITE on Adaptive Variational Quantum Kolmogorov-Arnold Network Solving Constrained Combinatorial Optimization Problems with Variational Quantum Imaginary Time Evolution

Reference 32

Resolution: verified exact; local_arxiv, observed 2026-08-06T22:06:51.743880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.