Paper Citation Record · LEDGER

A Grover-compatible manifold optimization algorithm for quantum search

As of 20 August 2026, this Paper Citation Record lists 59 of 59 outbound references and 1 inbound Pith citation observation for arXiv:2512.08432.

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

pith.paper-citation-record.v1
2512.08432 v3

Coverage vector

measured 59 of 59 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T17:54:00.957427Z

measured 60 of 60 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-14T23:52:20.189323Z

measured 1 of 1 external citation measurements

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

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

Reference resolution

59 of 59 outbound references displayed

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External citation measurements

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arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation d247984a-8d61-48b5-8f8f-915431c69148 · outbound

This paper cites Efficient Riemannian algorithms for optimization under unitary matrix constraint.

A Grover-compatible manifold optimization algorithm for quantum search Efficient Riemannian algorithms for optimization under unitary matrix constraint

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T17:53:55.053995Z

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Observation 270cb099-6c9c-43c6-8889-95b8e52b7dca · outbound

This paper cites Princeton University Press, 2008.

A Grover-compatible manifold optimization algorithm for quantum search Princeton University Press, 2008

Reference 2

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Observation 4eeffba8-887d-43c7-99ba-9047f579e911 · outbound

This paper cites Projection-like retractions on matrix manifolds.

A Grover-compatible manifold optimization algorithm for quantum search Projection-like retractions on matrix manifolds

Reference 3

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Observation 39d0243b-a909-47ba-9312-d7bccc7c35ff · outbound

This paper cites Using quantum amplitude amplification in genetic algorithms.Expert Systems with Applications, 209:118203, 2022.

A Grover-compatible manifold optimization algorithm for quantum search Using quantum amplitude amplification in genetic algorithms.Expert Systems with Applications, 209:118203, 2022

Reference 4

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Observation cfe8c867-8420-4f0d-8aef-c73e60a72ff3 · outbound

This paper cites Newton’s method on Riemannian manifolds and a geometric model for the human spine.

A Grover-compatible manifold optimization algorithm for quantum search Newton’s method on Riemannian manifolds and a geometric model for the human spine

Reference 5

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Observation 2c201b1f-0717-4c8b-bbfe-e94c82d055ee · outbound

This paper cites Variable time amplitude amplification and quantum algorithms for linear algebra problems.

A Grover-compatible manifold optimization algorithm for quantum search Variable time amplitude amplification and quantum algorithms for linear algebra problems

Reference 6

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Observation ddc22ce6-6150-4ffd-941e-b405aabce50f · outbound

This paper cites Grover’s quantum algorithm applied to global optimization.SIAM Journal on Optimization, 15(4):1170–1184, 2005.

A Grover-compatible manifold optimization algorithm for quantum search Grover’s quantum algorithm applied to global optimization.SIAM Journal on Optimization, 15(4):1170–1184, 2005

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T17:53:55.869924Z

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Observation a9db09a2-b388-4b65-99e9-54fc19045e93 · outbound

This paper cites Quan- tum lower bounds by polynomials.Journal of the ACM (JACM), 48(4):778–797, 2001.

A Grover-compatible manifold optimization algorithm for quantum search Quan- tum lower bounds by polynomials.Journal of the ACM (JACM), 48(4):778–797, 2001

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T17:53:56.008150Z

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Observation 21df8df8-d5e7-456f-92ad-de904cdd993e · outbound

This paper cites Strengths and weaknesses of quantum computing.SIAM Journal on Computing, 26(5):1510–1523, 1997.

A Grover-compatible manifold optimization algorithm for quantum search Strengths and weaknesses of quantum computing.SIAM Journal on Computing, 26(5):1510–1523, 1997

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T17:53:56.186913Z

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Observation a718a150-8cda-4f96-888b-509d056c3473 · outbound

This paper cites Post-quantum cryptography.

A Grover-compatible manifold optimization algorithm for quantum search Post-quantum cryptography

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T17:53:56.335981Z

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Observation 9e9a5a9e-f9bd-433b-8560-62e52eaf0b39 · outbound

This paper cites Quantum machine learning.Nature, 549(7671):195–202, 2017.

A Grover-compatible manifold optimization algorithm for quantum search Quantum machine learning.Nature, 549(7671):195–202, 2017

Reference 11

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Observation d1ae1c9d-8bcb-45df-ac2a-1c1943c92d55 · outbound

This paper cites An Introduction to Optimization on Smooth Manifolds.

A Grover-compatible manifold optimization algorithm for quantum search An Introduction to Optimization on Smooth Manifolds

Reference 12

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Observation 609b8f97-554c-4eb6-a668-d33945111ecc · outbound

This paper cites Global rates of convergence for nonconvex optimization on manifolds.

A Grover-compatible manifold optimization algorithm for quantum search Global rates of convergence for nonconvex optimization on manifolds

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T17:53:56.801546Z

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Observation 87c076d5-c914-4ec6-b7d7-1b3aa6d6f12a · outbound

This paper cites Searching a quantum phone book.Science, 275(5300):627–628, 1997.

A Grover-compatible manifold optimization algorithm for quantum search Searching a quantum phone book.Science, 275(5300):627–628, 1997

Reference 14

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Observation 9f3de77d-4e3a-47b6-a0af-d169a2bd9acc · outbound

This paper cites Quantum Amplitude Amplification and Estimation.

A Grover-compatible manifold optimization algorithm for quantum search Quantum Amplitude Amplification and Estimation

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T17:53:57.139077Z

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Observation a6483fe1-af6a-49be-b1c3-3b901d7be4f3 · outbound

This paper cites On Grover’s search algorithm from a quantum in- formation geometry viewpoint.

A Grover-compatible manifold optimization algorithm for quantum search On Grover’s search algorithm from a quantum in- formation geometry viewpoint

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T17:53:57.273796Z

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Observation a403e5c4-eb57-4b38-98dc-817c83bca951 · outbound

This paper cites Quantum reinforcement learning.

A Grover-compatible manifold optimization algorithm for quantum search Quantum reinforcement learning

Reference 17

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Observation 5b3d2321-c318-4214-bae6-bf811ef69d32 · outbound

This paper cites A Grover-search based quantum learning scheme for classification.New Journal of Physics, 23(2):023020, 2021.

A Grover-compatible manifold optimization algorithm for quantum search A Grover-search based quantum learning scheme for classification.New Journal of Physics, 23(2):023020, 2021

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T17:53:57.523786Z

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Observation 92a0dbf9-f996-4000-80b2-608984d135fc · outbound

This paper cites A Quantum Algorithm for Finding the Minimum.

A Grover-compatible manifold optimization algorithm for quantum search A Quantum Algorithm for Finding the Minimum

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T17:53:57.634438Z

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Observation 8ccf2c2c-99ff-4daf-a3e4-be0bc7a36ec7 · outbound

This paper cites On the Barzilai-Borwein method.

A Grover-compatible manifold optimization algorithm for quantum search On the Barzilai-Borwein method

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T17:53:57.755473Z

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Observation 9650596c-1d86-4b43-afb2-7f3dbf409a82 · outbound

This paper cites Grover adaptive search for constrained polynomial binary optimization.Quantum, 5:428, 2021.

A Grover-compatible manifold optimization algorithm for quantum search Grover adaptive search for constrained polynomial binary optimization.Quantum, 5:428, 2021

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T17:53:57.844852Z

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Observation 1425bae1-cc32-4416-a90a-7f5eb3c1cb7e · outbound

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

A Grover-compatible manifold optimization algorithm for quantum search Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T17:53:57.998946Z

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Observation fd06e558-f56a-40e0-9e14-d7b57adf746b · outbound

This paper cites Double-bracket quantum algorithms for diagonalization.Quantum, 8:1316, 2024.

A Grover-compatible manifold optimization algorithm for quantum search Double-bracket quantum algorithms for diagonalization.Quantum, 8:1316, 2024

Reference 23

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Observation c3feb5e7-225c-43e4-9814-9e50c5677b94 · outbound

This paper cites Double-bracket quantum algorithmsfor quantum imaginary- time evolution.arXiv preprint arXiv:2412.04554, 2024.

A Grover-compatible manifold optimization algorithm for quantum search Double-bracket quantum algorithmsfor quantum imaginary- time evolution.arXiv preprint arXiv:2412.04554, 2024

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-03T17:53:58.358027Z

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Observation a44d1727-df90-49cb-9c22-ed02a6997936 · outbound

This paper cites Applying Grover’s algorithm to AES: quantum resource estimates.

A Grover-compatible manifold optimization algorithm for quantum search Applying Grover’s algorithm to AES: quantum resource estimates

Reference 25

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Observation c8dded80-a730-4271-84f0-84e2452f143f · outbound

This paper cites A fast quantum mechanical algorithm for database search.

A Grover-compatible manifold optimization algorithm for quantum search A fast quantum mechanical algorithm for database search

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-03T17:53:58.592221Z

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Observation cc4de1b4-7cf9-4dfb-ad7a-f5faab3b1f99 · outbound

This paper cites Fixed-point quantum search.Physical Review Letters, 95(15):150501, 2005.

A Grover-compatible manifold optimization algorithm for quantum search Fixed-point quantum search.Physical Review Letters, 95(15):150501, 2005

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-03T17:53:58.638118Z

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Observation 8ff434bc-32cd-4aaa-90bf-e128a6089eb2 · outbound

This paper cites an unresolved cited work.

A Grover-compatible manifold optimization algorithm for quantum search Unresolved cited work

Reference 28

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Observation bfd21eb7-a316-46b2-b467-b6b7babb448a · outbound

This paper cites Quantum state tomography via nonconvex Riemannian gradient descent.Physical Review Letters, 132(24):240804, 2024.

A Grover-compatible manifold optimization algorithm for quantum search Quantum state tomography via nonconvex Riemannian gradient descent.Physical Review Letters, 132(24):240804, 2024

Reference 29

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Observation 241ba7ff-3e70-4db5-8056-68d357805869 · outbound

This paper cites A brief introduction to manifold optimization.

A Grover-compatible manifold optimization algorithm for quantum search A brief introduction to manifold optimization

Reference 30

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Observation 5935477f-f2e9-473e-8c53-a7ce2271207d · outbound

This paper cites The Riemannian Barzilai-Borwein method with nonmonotone line search and the matrix geometric mean computation.IMA Journal of Numerical Analysis, 38(1):495–517, 2018.

A Grover-compatible manifold optimization algorithm for quantum search The Riemannian Barzilai-Borwein method with nonmonotone line search and the matrix geometric mean computation.IMA Journal of Numerical Analysis, 38(1):495–517, 2018

Reference 31

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Observation 57efe3a7-bedc-4407-a614-6a8a967cb4ed · outbound

This paper cites Linear convergence of gradient and proximal-gradient methods under the Polyak–Łojasiewicz condition.

A Grover-compatible manifold optimization algorithm for quantum search Linear convergence of gradient and proximal-gradient methods under the Polyak–Łojasiewicz condition

Reference 32

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Observation 6e1c19dd-6df9-42ad-b012-5c790f58111c · outbound

This paper cites Oxford University Press., 2006.

A Grover-compatible manifold optimization algorithm for quantum search Oxford University Press., 2006

Reference 33

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Observation 642006ae-d839-42c5-85b2-73b1f6be8c2e · outbound

This paper cites The Art of Computer Programming, volume 3.

A Grover-compatible manifold optimization algorithm for quantum search The Art of Computer Programming, volume 3

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Observation b7c8a536-71f2-4c5a-ab42-011232716dfa · outbound

This paper cites Advancing mathematical research via human–AI interactive theorem proving.arXiv preprint arXiv:2512.09443, 2025.

A Grover-compatible manifold optimization algorithm for quantum search Advancing mathematical research via human–AI interactive theorem proving.arXiv preprint arXiv:2512.09443, 2025

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Observation cc05f3e0-c5a8-4ce4-ac55-8271be32b5a9 · outbound

This paper cites Quantum comb tomography via learning isometries on Stiefel manifold.

A Grover-compatible manifold optimization algorithm for quantum search Quantum comb tomography via learning isometries on Stiefel manifold

Reference 36

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Observation f08d049a-c607-430c-8ff2-cf177049f357 · outbound

This paper cites A topological property of real analytic subsets.Coll.

A Grover-compatible manifold optimization algorithm for quantum search A topological property of real analytic subsets.Coll

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Observation 275fe978-9ce3-471a-ae4a-020c14a66127 · outbound

This paper cites QGOpt: Rie- mannian optimization for quantum technologies.Scipost physics, 10(3):079, 2021.

A Grover-compatible manifold optimization algorithm for quantum search QGOpt: Rie- mannian optimization for quantum technologies.Scipost physics, 10(3):079, 2021

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Observation d662c17c-d2b1-4d5a-969e-e381971e061e · outbound

This paper cites Introduction to Information Retrieval.

A Grover-compatible manifold optimization algorithm for quantum search Introduction to Information Retrieval

Reference 39

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Observation 473a79a4-54b9-4263-9885-ef8108b36dba · outbound

This paper cites Grand unification of quantum algorithms.

A Grover-compatible manifold optimization algorithm for quantum search Grand unification of quantum algorithms

Reference 40

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Observation d6f54759-845e-4091-9115-766b2532add1 · outbound

This paper cites Geometric strategy for the optimal quantum search.

A Grover-compatible manifold optimization algorithm for quantum search Geometric strategy for the optimal quantum search

Reference 41

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Observation e2c7660c-b775-4dbd-b35a-23490769abf8 · outbound

This paper cites Springer US, Boston, MA, 2004.

A Grover-compatible manifold optimization algorithm for quantum search Springer US, Boston, MA, 2004

Reference 42

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Observation 70cd461c-c754-47da-8cf7-306644ca6a84 · outbound

This paper cites Cambridge University Press, 2010.

A Grover-compatible manifold optimization algorithm for quantum search Cambridge University Press, 2010

Reference 43

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Observation 0179b6a7-6e0f-46c9-971a-a1b56f7dee6f · outbound

This paper cites Springer, 2006.

A Grover-compatible manifold optimization algorithm for quantum search Springer, 2006

Reference 44

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Observation c3e23cf4-d4f1-44af-b26c-1f9eeab5c190 · outbound

This paper cites Gradient methods for minimizing functionals.Zhurnal Vychis- litel’noi Matematiki i Matematicheskoi Fiziki, 3(4):643–653, 1963.

A Grover-compatible manifold optimization algorithm for quantum search Gradient methods for minimizing functionals.Zhurnal Vychis- litel’noi Matematiki i Matematicheskoi Fiziki, 3(4):643–653, 1963

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Resolution: unresolved; no resolver link, observed 2026-08-03T17:53:59.845314Z

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Observation a99d5e0f-5ac3-4e2c-a31f-59f9f8e699a6 · outbound

This paper cites On the Barzilai and Borwein choice of steplength for the gradient method.

A Grover-compatible manifold optimization algorithm for quantum search On the Barzilai and Borwein choice of steplength for the gradient method

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Resolution: unresolved; no resolver link, observed 2026-08-03T17:53:59.880732Z

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Observation 3e58be82-0b10-4129-b8c5-bacf72b087dc · outbound

This paper cites Fast convergence to non-isolated minima: four equivalent conditions forC2 functions.

A Grover-compatible manifold optimization algorithm for quantum search Fast convergence to non-isolated minima: four equivalent conditions forC2 functions

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Resolution: unresolved; no resolver link, observed 2026-08-03T17:53:59.941787Z

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Observation d71b0f53-18d1-4c0d-a7e2-b6e1a75dde52 · outbound

This paper cites Double- bracket quantum algorithms for high-fidelity ground state preparation.

A Grover-compatible manifold optimization algorithm for quantum search Double- bracket quantum algorithms for high-fidelity ground state preparation

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Observation e80f74e5-c357-4a1d-ab17-11c572f3ce4f · outbound

This paper cites Cholesky QR-based retraction on the generalized Stiefel manifold.

A Grover-compatible manifold optimization algorithm for quantum search Cholesky QR-based retraction on the generalized Stiefel manifold

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Resolution: unresolved; no resolver link, observed 2026-08-03T17:54:00.077223Z

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Observation f295a550-d302-481c-af55-9fa1b13e392b · outbound

This paper cites Amplitude estimation without phase estimation.Quantum Information Processing, 19(2):75, 2020.

A Grover-compatible manifold optimization algorithm for quantum search Amplitude estimation without phase estimation.Quantum Information Processing, 19(2):75, 2020

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Resolution: unresolved; no resolver link, observed 2026-08-03T17:54:00.159998Z

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Observation c43de4eb-2fab-444e-a25d-a81574632a14 · outbound

This paper cites Grover’s algorithm is an approximation of imaginary-time evolution.arXiv preprint, 2025.

A Grover-compatible manifold optimization algorithm for quantum search Grover’s algorithm is an approximation of imaginary-time evolution.arXiv preprint, 2025

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Observation 7296452c-2b14-4a74-bfc2-5c267f9c9719 · outbound

This paper cites Double-bracket algorithm for quantum signal processing without post-selection.

A Grover-compatible manifold optimization algorithm for quantum search Double-bracket algorithm for quantum signal processing without post-selection

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Observation 9f9a996f-b4e9-483e-a10c-d83a244304d5 · outbound

This paper cites Quantum speed-up of Markov chain based algorithms.

A Grover-compatible manifold optimization algorithm for quantum search Quantum speed-up of Markov chain based algorithms

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Observation ea58e432-505b-4a53-a178-59b98bdde743 · outbound

This paper cites A feasible method for optimization with orthogonality con- straints.

A Grover-compatible manifold optimization algorithm for quantum search A feasible method for optimization with orthogonality con- straints

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Observation 7d0cbd2c-632b-44cf-8f47-d869683de83e · outbound

This paper cites Optimizing quantum circuits with Riemannian gradient flow.Physical Review A, 107(6):062421, 2023.

A Grover-compatible manifold optimization algorithm for quantum search Optimizing quantum circuits with Riemannian gradient flow.Physical Review A, 107(6):062421, 2023

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Observation 9035dae1-0fcb-4e73-ae6a-2eb2fdbc09c4 · outbound

This paper cites Strategies for optimizing double-bracket quantum algorithms.

A Grover-compatible manifold optimization algorithm for quantum search Strategies for optimizing double-bracket quantum algorithms

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Observation 54877331-d24a-45ac-b8dc-f01886b6cd95 · outbound

This paper cites Fixed-point quantum search with an optimal number of queries.Physical Review Letters, 113(21):210501, 2014.

A Grover-compatible manifold optimization algorithm for quantum search Fixed-point quantum search with an optimal number of queries.Physical Review Letters, 113(21):210501, 2014

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Observation 4716f2be-43ff-4e89-adb1-7dc7a86bd849 · outbound

This paper cites Grover’s quantum searching algorithm is optimal.

A Grover-compatible manifold optimization algorithm for quantum search Grover’s quantum searching algorithm is optimal

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This paper cites Role of Riemannian geome- try in double-bracket quantum imaginary-time evolution.

A Grover-compatible manifold optimization algorithm for quantum search Role of Riemannian geome- try in double-bracket quantum imaginary-time evolution

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Achieving double-logarithmic precision dependence in optimization-based quantum unstructured search cites this paper.

Achieving double-logarithmic precision dependence in optimization-based quantum unstructured search A Grover-compatible manifold optimization algorithm for quantum search

Reference 60

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