Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T14:19:29.951781Z
Paper Citation Record · LEDGER
The suboptimality ratio of projective measurements restricted to low-rank subspaces
As of 11 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:2412.12413.
A citation records a reference. It does not transfer a finding from one paper to another.
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Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
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Source: cited_works
Reference resolution
38 of 38 outbound references displayed
- verified exact2
- verified fuzzy27
- unresolved9
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
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Outbound references
Observation b42dee89-7392-4bc7-a4a2-80a1e9f99738 · outbound
This paper cites Absil, Robert Mahony, and Rodolphe Sepulchre.
The suboptimality ratio of projective measurements restricted to low-rank subspaces Absil, Robert Mahony, and Rodolphe Sepulchre
Reference 1
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- verified fuzzy
- raw_fallback, observed 2026-08-11T14:19:30.720660Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 6f458227-ddba-4c9e-bf83-3769ee33f881 · outbound
This paper cites an unresolved cited work.
The suboptimality ratio of projective measurements restricted to low-rank subspaces Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T14:19:30.702203Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 62d4974b-ac89-48f0-8068-c26a7b021238 · outbound
This paper cites Quadratic forms on graphs.
The suboptimality ratio of projective measurements restricted to low-rank subspaces Quadratic forms on graphs
Reference 3
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- raw_fallback, observed 2026-08-11T14:19:30.684877Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation e6e16988-ee08-44b5-81c6-dc3a948c6967 · outbound
This paper cites On the non-symmetric semidefinite procrustes problem.
The suboptimality ratio of projective measurements restricted to low-rank subspaces On the non-symmetric semidefinite procrustes problem
Reference 4
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- raw_fallback, observed 2026-08-11T14:19:30.668055Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 165c4553-c13e-4984-939c-453467023685 · outbound
This paper cites Approximating the little grothendieck problem over the orthogonal and unitary groups.
The suboptimality ratio of projective measurements restricted to low-rank subspaces Approximating the little grothendieck problem over the orthogonal and unitary groups
Reference 5
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- raw_fallback, observed 2026-08-11T14:19:30.652025Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 137fcfe3-7715-4322-9aef-4beba1f3e4ef · outbound
This paper cites Procrustes problems in riemannian manifolds of positive definite matrices.
The suboptimality ratio of projective measurements restricted to low-rank subspaces Procrustes problems in riemannian manifolds of positive definite matrices
Reference 6
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- raw_fallback, observed 2026-08-11T14:19:30.635444Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 029fc4a5-bda1-4803-b924-b1cf645df63d · outbound
This paper cites Optimal quantum tomography.
The suboptimality ratio of projective measurements restricted to low-rank subspaces Optimal quantum tomography
Reference 7
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- raw_fallback, observed 2026-08-11T14:19:30.617049Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 3193104d-aff1-40ee-a88b-290e6cbc12f6 · outbound
This paper cites The Grothendieck inequality revisited, volume 232.
The suboptimality ratio of projective measurements restricted to low-rank subspaces The Grothendieck inequality revisited, volume 232
Reference 8
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- raw_fallback, observed 2026-08-11T14:19:30.598946Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 28b01b72-2e8e-4ec1-8efa-36a43ffa30ac · outbound
This paper cites Briegel, David E.
The suboptimality ratio of projective measurements restricted to low-rank subspaces Briegel, David E
Reference 9
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- raw_fallback, observed 2026-08-11T14:19:30.582036Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 2de373e1-0f22-443c-b5b6-8ac54dcc826e · outbound
This paper cites Grothendieck inequalities for semidefinite programs with rank constraint.
The suboptimality ratio of projective measurements restricted to low-rank subspaces Grothendieck inequalities for semidefinite programs with rank constraint
Reference 10
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- raw_fallback, observed 2026-08-11T14:19:30.564153Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b5bece65-bda5-439e-995c-c96ea9633a26 · outbound
This paper cites Quantum state discrimination.
The suboptimality ratio of projective measurements restricted to low-rank subspaces Quantum state discrimination
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T14:19:29.817399Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c70bf002-308a-48fa-a493-f54b54e7cff7 · outbound
This paper cites Cirel’son.
The suboptimality ratio of projective measurements restricted to low-rank subspaces Cirel’son
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:19:30.536275Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 9d9bee3e-4ed7-4e51-9887-50d2dd479777 · outbound
This paper cites Orthogonalization of Positive Operator Valued Measures.
The suboptimality ratio of projective measurements restricted to low-rank subspaces Orthogonalization of Positive Operator Valued Measures
Reference 13
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- local_arxiv, observed 2026-08-11T14:19:30.131737Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1b28ebe2-b833-4da2-a6a8-a31e34c0035d · outbound
This paper cites Solving constrained Procrustes problems: a conic optimization approach.
The suboptimality ratio of projective measurements restricted to low-rank subspaces Solving constrained Procrustes problems: a conic optimization approach
Reference 14
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 385161dd-7465-4a29-ad3c-cd33336a4dfd · outbound
This paper cites On the spectral gap of random quantum channels.
The suboptimality ratio of projective measurements restricted to low-rank subspaces On the spectral gap of random quantum channels
Reference 15
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- no resolver link, observed 2026-08-11T14:19:29.836739Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation db899648-d828-427d-b521-777636f3c42c · outbound
This paper cites Gower and Garmt B.
The suboptimality ratio of projective measurements restricted to low-rank subspaces Gower and Garmt B
Reference 16
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- raw_fallback, observed 2026-08-11T14:19:30.520020Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 77545800-e98d-442f-b13a-8fb52a7fbc07 · outbound
This paper cites Hastings.
The suboptimality ratio of projective measurements restricted to low-rank subspaces Hastings
Reference 17
- Resolution
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- raw_fallback, observed 2026-08-11T14:19:30.502713Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 5de6a56f-b740-4c8c-9f37-bfbbad63c7b6 · outbound
This paper cites Choice of measurement as the signal.
The suboptimality ratio of projective measurements restricted to low-rank subspaces Choice of measurement as the signal
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:19:30.484206Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1e6a7983-d55e-4a2a-ae98-37730dfa8e7e · outbound
This paper cites Constantes de grothendieck et fonctions de type positif sur les spheres.
The suboptimality ratio of projective measurements restricted to low-rank subspaces Constantes de grothendieck et fonctions de type positif sur les spheres
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:19:30.466634Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7ee049a9-ca38-46a0-81ac-937c19b4b217 · outbound
This paper cites Optimal quantum (tensor product) expanders from unitary designs.
The suboptimality ratio of projective measurements restricted to low-rank subspaces Optimal quantum (tensor product) expanders from unitary designs
Reference 20
- Resolution
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- raw_fallback, observed 2026-08-11T14:19:30.070428Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c5a7e43b-0105-4541-9309-723d28f71141 · outbound
This paper cites Approximating quantum channels by completely positive maps with small kraus rank.
The suboptimality ratio of projective measurements restricted to low-rank subspaces Approximating quantum channels by completely positive maps with small kraus rank
Reference 21
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- raw_fallback, observed 2026-08-11T14:19:30.450605Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 23056058-9703-4676-8aa9-2ff00461dae0 · outbound
This paper cites Limiting spectral distribution of random self-adjoint quantum channels.
The suboptimality ratio of projective measurements restricted to low-rank subspaces Limiting spectral distribution of random self-adjoint quantum channels
Reference 22
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- raw_fallback, observed 2026-08-11T14:19:30.432481Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 08feebbe-55b9-42f8-b14b-f37f20f2641e · outbound
This paper cites an unresolved cited work.
The suboptimality ratio of projective measurements restricted to low-rank subspaces Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T14:19:30.415765Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 834573d6-0461-4bb5-9491-d23edcca0bc7 · outbound
This paper cites Choice of measurement as the secret.
The suboptimality ratio of projective measurements restricted to low-rank subspaces Choice of measurement as the secret
Reference 24
- Resolution
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- raw_fallback, observed 2026-08-11T14:19:30.397870Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 3e11087f-90ca-42ff-977d-0210a5faa4c2 · outbound
This paper cites Maciejewski, and Zbigniew Pucha/suppress la.
The suboptimality ratio of projective measurements restricted to low-rank subspaces Maciejewski, and Zbigniew Pucha/suppress la
Reference 25
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- raw_fallback, observed 2026-08-11T14:19:30.380311Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 2f5e9710-b847-4503-b580-5885765d8be5 · outbound
This paper cites Quantum control by von neumann measurements.
The suboptimality ratio of projective measurements restricted to low-rank subspaces Quantum control by von neumann measurements
Reference 26
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- raw_fallback, observed 2026-08-11T14:19:30.361309Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 38092022-e561-4dd9-9df5-21a0da79c53f · outbound
This paper cites Control landscapes for two-level open quantum systems.
The suboptimality ratio of projective measurements restricted to low-rank subspaces Control landscapes for two-level open quantum systems
Reference 27
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- raw_fallback, observed 2026-08-11T14:19:30.342407Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 694445e2-75d4-402e-bc28-3db4c4621e45 · outbound
This paper cites Balls into bins.
The suboptimality ratio of projective measurements restricted to low-rank subspaces Balls into bins
Reference 28
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- raw_fallback, observed 2026-08-11T14:19:30.324093Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 2b8ef13a-a770-438e-a27e-afef4bcb7f24 · outbound
This paper cites II: Fourier Analysis, Self-Adjointness , volume 2.
The suboptimality ratio of projective measurements restricted to low-rank subspaces II: Fourier Analysis, Self-Adjointness , volume 2
Reference 29
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- raw_fallback, observed 2026-08-11T14:19:30.305216Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 2ba96fba-8369-4376-bf2f-2a200ef67b58 · outbound
This paper cites Sch¨ onemann.
The suboptimality ratio of projective measurements restricted to low-rank subspaces Sch¨ onemann
Reference 30
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- raw_fallback, observed 2026-08-11T14:19:30.282719Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 96a7ab81-f2d5-407e-b9f2-1fd7b8e8b087 · outbound
This paper cites an unresolved cited work.
The suboptimality ratio of projective measurements restricted to low-rank subspaces Unresolved cited work
Reference 31
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- raw_fallback, observed 2026-08-11T14:19:30.266025Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation fdfce90f-54ed-4ca3-a804-d8bb515ef73b · outbound
This paper cites Multivariate trace inequalities.
The suboptimality ratio of projective measurements restricted to low-rank subspaces Multivariate trace inequalities
Reference 32
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- raw_fallback, observed 2026-08-11T14:19:30.249488Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation ac146df4-1e4f-4dc4-93ce-82572ee49d9c · outbound
This paper cites Topics in random matrix theory , volume 132.
The suboptimality ratio of projective measurements restricted to low-rank subspaces Topics in random matrix theory , volume 132
Reference 33
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- no resolver link, observed 2026-08-11T14:19:29.926151Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a85b5fdf-caf3-42f4-bada-1f2cca8803b1 · outbound
This paper cites Tropp et al.
The suboptimality ratio of projective measurements restricted to low-rank subspaces Tropp et al
Reference 34
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- raw_fallback, observed 2026-08-11T14:19:30.218170Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f3f8aea4-67a9-4599-ab04-e92babda0068 · outbound
This paper cites an unresolved cited work.
The suboptimality ratio of projective measurements restricted to low-rank subspaces Unresolved cited work
Reference 35
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- raw_fallback, observed 2026-08-11T14:19:30.202614Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 2a33b8b4-219e-42ae-a70e-74830a6d34a5 · outbound
This paper cites Quantum state transformation by optimal projective measurements.
The suboptimality ratio of projective measurements restricted to low-rank subspaces Quantum state transformation by optimal projective measurements
Reference 36
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- raw_fallback, observed 2026-08-11T14:19:30.186194Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1a5dccf5-a061-4105-abd8-3b2097792af8 · outbound
This paper cites an unresolved cited work.
The suboptimality ratio of projective measurements restricted to low-rank subspaces Unresolved cited work
Reference 37
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- raw_fallback, observed 2026-08-11T14:19:30.169114Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 32fd336e-5f92-426f-b8c4-6fb33e34648f · outbound
This paper cites and each ℓ = (ℓ1,...,ℓ k)∈ L(k) will track the matrix indices in the expansion of EΘ [ Tr [k∏ j=1 Lπ ℓj(Θ) ]].
The suboptimality ratio of projective measurements restricted to low-rank subspaces and each ℓ = (ℓ1,...,ℓ k)∈ L(k) will track the matrix indices in the expansion of EΘ [ Tr [k∏ j=1 Lπ ℓj(Θ) ]]
Reference 38
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- raw_fallback, observed 2026-08-11T14:19:30.153510Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Pith citing papers
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