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Detecting high-dimensional entanglement with simple measurements

As of 21 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 0 inbound Pith citation observations for arXiv:2608.02439.

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2608.02439 v1

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Outbound references

Observation deb83450-9fee-4de4-82ba-779e7739dd45 · outbound

This paper cites High-Dimensional Quantum Photonics: Roadmap.

Detecting high-dimensional entanglement with simple measurements High-Dimensional Quantum Photonics: Roadmap

Reference 1

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Observation 762bbf2b-62bf-430c-a29c-2a19dddd6510 · outbound

This paper cites A Schmidt number for density matrices.

Detecting high-dimensional entanglement with simple measurements A Schmidt number for density matrices

Reference 2

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Observation 72e363e0-997b-4c3d-b485-5c6fa31f114f · outbound

This paper cites Strong NP-Hardness of the Quantum Separability Problem.

Detecting high-dimensional entanglement with simple measurements Strong NP-Hardness of the Quantum Separability Problem

Reference 3

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Observation dbd463a0-ad6e-459f-8bed-1b5006df0321 · outbound

This paper cites Entanglement Detection Beyond Measuring Fidelities.

Detecting high-dimensional entanglement with simple measurements Entanglement Detection Beyond Measuring Fidelities

Reference 4

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Observation 8a39aa74-6a88-4b3f-8471-8929eba9c3ec · outbound

This paper cites Enhanced Schmidt number criteria based on correlation trace norms.

Detecting high-dimensional entanglement with simple measurements Enhanced Schmidt number criteria based on correlation trace norms

Reference 5

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Observation 0b6c8b0b-613f-4ffc-b175-aea7b514e34b · outbound

This paper cites Bounding entanglement dimensionality from the covariance matrix.

Detecting high-dimensional entanglement with simple measurements Bounding entanglement dimensionality from the covariance matrix

Reference 6

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Observation 73549599-c797-40f9-9044-8b43b194b1df · outbound

This paper cites Probing the geometry of correlation matrices with randomized measurements.

Detecting high-dimensional entanglement with simple measurements Probing the geometry of correlation matrices with randomized measurements

Reference 7

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Observation 7617388b-7654-45b8-a473-e07115586544 · outbound

This paper cites Characterizing entanglement dimensionality from randomized measurements.

Detecting high-dimensional entanglement with simple measurements Characterizing entanglement dimensionality from randomized measurements

Reference 8

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Observation 44ecb17c-4c04-42ff-a43b-356b635dedd9 · outbound

This paper cites Construction of efficient Schmidt number witnesses for high-dimensional quantum states.

Detecting high-dimensional entanglement with simple measurements Construction of efficient Schmidt number witnesses for high-dimensional quantum states

Reference 9

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Observation fd6b9b8d-95a5-45a3-87d2-a86f60846a31 · outbound

This paper cites Detecting the dimensionality of genuine multi-particle entanglement.

Detecting high-dimensional entanglement with simple measurements Detecting the dimensionality of genuine multi-particle entanglement

Reference 10

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Observation d844c6c1-8fe1-4cdc-8449-e57c6df489ce · outbound

This paper cites Resource-efficient high-dimensional entanglement detection via symmetric projections.

Detecting high-dimensional entanglement with simple measurements Resource-efficient high-dimensional entanglement detection via symmetric projections

Reference 11

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Observation ee08bbd1-2438-4ebb-9533-5e594159e711 · outbound

This paper cites Measurements in two bases are sufficient for certifying high-dimensional entanglement.

Detecting high-dimensional entanglement with simple measurements Measurements in two bases are sufficient for certifying high-dimensional entanglement

Reference 12

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Observation 00d4e526-9651-4ed1-8525-c50bf5e367f3 · outbound

This paper cites Interface between path and OAM entanglement for high-dimensional photonic quantum information.

Detecting high-dimensional entanglement with simple measurements Interface between path and OAM entanglement for high-dimensional photonic quantum information

Reference 13

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Observation e4dd552f-6b5f-4f16-b68a-b98319df44ec · outbound

This paper cites Multi-photon entanglement in high dimensions.

Detecting high-dimensional entanglement with simple measurements Multi-photon entanglement in high dimensions

Reference 14

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Observation 237271c0-9ab5-4ac3-895e-5e298e1b2554 · outbound

This paper cites High-Dimensional Pixel Entanglement: Efficient Generation and Certification.

Detecting high-dimensional entanglement with simple measurements High-Dimensional Pixel Entanglement: Efficient Generation and Certification

Reference 15

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Observation 307653c0-142c-4adc-a5fd-2c2552df47c7 · outbound

This paper cites Efficient generation of high-dimensional entanglement through multi-path downconversion.

Detecting high-dimensional entanglement with simple measurements Efficient generation of high-dimensional entanglement through multi-path downconversion

Reference 16

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Observation 155ddb83-100e-4695-9bdb-4f4fac4494ee · outbound

This paper cites Observation of Genuine High-dimensional Multi-partite Non-locality in Entangled Photon States.

Detecting high-dimensional entanglement with simple measurements Observation of Genuine High-dimensional Multi-partite Non-locality in Entangled Photon States

Reference 17

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Observation 81848d32-1292-441f-8948-fcf3451e6b72 · outbound

This paper cites Faking entanglement with imperceptible measurement deviations.

Detecting high-dimensional entanglement with simple measurements Faking entanglement with imperceptible measurement deviations

Reference 18

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Observation 6ac0bd7d-6aa2-4058-a7bd-0e784996d9d3 · outbound

This paper cites An Optimal Design for Universal Multiport Interferometers.

Detecting high-dimensional entanglement with simple measurements An Optimal Design for Universal Multiport Interferometers

Reference 19

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Observation f05e819c-408e-4bec-a0c6-061bb62ba91f · outbound

This paper cites Implementing random unitaries in an imperfect photonic network.

Detecting high-dimensional entanglement with simple measurements Implementing random unitaries in an imperfect photonic network

Reference 20

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Observation 2e61c5bd-6d2b-42ec-9126-25fa7dc1b54d · outbound

This paper cites A low-loss, 24-mode laser-written universal photonic processor in a glass-based platform.

Detecting high-dimensional entanglement with simple measurements A low-loss, 24-mode laser-written universal photonic processor in a glass-based platform

Reference 21

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Observation da91bb7b-a716-4b05-addf-ca1b0dfdf952 · outbound

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Detecting high-dimensional entanglement with simple measurements Unresolved cited work

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Observation a2243721-30bd-4300-9f6a-76c89d103963 · outbound

This paper cites On sets of commuting and anticommuting Paulis.

Detecting high-dimensional entanglement with simple measurements On sets of commuting and anticommuting Paulis

Reference 23

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Observation 7e47f9ab-c900-4a1f-b501-1917cd86e24f · outbound

This paper cites Entanglement Detection in the Stabilizer Formalism.

Detecting high-dimensional entanglement with simple measurements Entanglement Detection in the Stabilizer Formalism

Reference 24

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Observation 24703e44-b0f9-46c3-8e4c-3cf90ba34cfb · outbound

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Detecting high-dimensional entanglement with simple measurements Unresolved cited work

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Observation 7a563f49-9e04-4e63-aa28-3faed6462b69 · outbound

This paper cites NP-Hardness and Inapproximability of Sparse PCA.

Detecting high-dimensional entanglement with simple measurements NP-Hardness and Inapproximability of Sparse PCA

Reference 26

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Observation 1214d852-f247-46c6-bfb5-bf674e7bb7d6 · outbound

This paper cites Eigenvalues of subgraphs of the cube.

Detecting high-dimensional entanglement with simple measurements Eigenvalues of subgraphs of the cube

Reference 27

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Observation f98e07d4-2765-40cc-8628-7c81e6c9aa29 · outbound

This paper cites Inverse-design of high-dimensional quantum optical circuits in a complex medium.

Detecting high-dimensional entanglement with simple measurements Inverse-design of high-dimensional quantum optical circuits in a complex medium

Reference 28

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Observation b4734da1-991c-4e9a-843f-00d8fc580783 · outbound

This paper cites High-dimensional quantum key distribution using a multi-plane light converter.

Detecting high-dimensional entanglement with simple measurements High-dimensional quantum key distribution using a multi-plane light converter

Reference 29

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Observation c10aadcf-ad19-48d3-a45c-6256cea01655 · outbound

This paper cites High-dimensional spatial mode sorting and optical circuit design using multi-plane light conversion.

Detecting high-dimensional entanglement with simple measurements High-dimensional spatial mode sorting and optical circuit design using multi-plane light conversion

Reference 30

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Observation d99d4f2d-bcfc-4176-8ec7-fa02ec472f31 · outbound

This paper cites High-dimensional quantum gates using full-field spatial modes of photons.

Detecting high-dimensional entanglement with simple measurements High-dimensional quantum gates using full-field spatial modes of photons

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Observation 386fd02f-1838-4dc0-80fb-fe968865b381 · outbound

This paper cites Simultaneously sorting overlapping quantum states of light.

Detecting high-dimensional entanglement with simple measurements Simultaneously sorting overlapping quantum states of light

Reference 32

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Observation f1a4d1c8-e589-4723-9f22-179ac4173a9d · outbound

This paper cites Robust One-Sided Device-Independent Quantum Key Distribution via High-Dimensional Steering.

Detecting high-dimensional entanglement with simple measurements Robust One-Sided Device-Independent Quantum Key Distribution via High-Dimensional Steering

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Observation 00b07e81-7588-4e46-9269-0d64e004dcbe · outbound

This paper cites Resource-efficient photonic quantum computation with high-dimensional cluster states.

Detecting high-dimensional entanglement with simple measurements Resource-efficient photonic quantum computation with high-dimensional cluster states

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Observation 625170b8-6bf9-43e1-a310-9734a1d63ca2 · outbound

This paper cites Laguerre-Gaussian mode sorter.

Detecting high-dimensional entanglement with simple measurements Laguerre-Gaussian mode sorter

Reference 35

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Observation 16012366-07e8-41c7-a3e4-9ed0843402fc · outbound

This paper cites Building and aligning a 10-plane light converter.

Detecting high-dimensional entanglement with simple measurements Building and aligning a 10-plane light converter

Reference 36

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Observation 3072e944-8c2e-4cff-92eb-354e85a2db37 · outbound

This paper cites Hjørungnes,Complex-Valued Matrix Derivatives: With Applications in Signal Processing and Communi- cations(Cambridge University Press, 2011).

Detecting high-dimensional entanglement with simple measurements Hjørungnes,Complex-Valued Matrix Derivatives: With Applications in Signal Processing and Communi- cations(Cambridge University Press, 2011)

Reference 37

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Observation a5699181-87b5-41ed-aa86-e54d656ffa8f · outbound

This paper cites Hulpke, D.

Detecting high-dimensional entanglement with simple measurements Hulpke, D

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Observation be4ff6a1-937f-4844-bdc8-bf6279f42907 · outbound

This paper cites Semidefinite programming relaxations for quantum correlations.

Detecting high-dimensional entanglement with simple measurements Semidefinite programming relaxations for quantum correlations

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Observation 8a9992c1-c803-47ce-9aef-ba4c4f974fd0 · outbound

This paper cites an unresolved cited work.

Detecting high-dimensional entanglement with simple measurements Unresolved cited work

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source=pdf_text observed=2026-08-04T07:21:53.871587Z digest=sha256:df6dc6c014bf48ca3f35af2fa54c16a4d307c6d0b2a27e0201d47212471026ca

Observation 55028be1-0ec5-4603-9f52-9f5aeb522262 · outbound

This paper cites Brouwer and W.

Detecting high-dimensional entanglement with simple measurements Brouwer and W

Reference 41

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source=pdf_text observed=2026-08-04T07:21:54.078152Z digest=sha256:d047aa33e5648e631a2e3d75e159171d5f29e339dc250b6746acc7a7453081a1

Observation c0238dd4-c8e7-4008-8268-eda9ec5743d6 · outbound

This paper cites Characterising and Tailoring Spatial Correlations in Multi-Mode Parametric Downconversion.

Detecting high-dimensional entanglement with simple measurements Characterising and Tailoring Spatial Correlations in Multi-Mode Parametric Downconversion

Reference 42

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source=pdf_text observed=2026-08-04T07:21:54.223105Z digest=sha256:835d605b5e1799d18fbfd2a8455fe994a25e8a97b3868bccdbc64f278ca2a0d3

Observation abe0c3df-698f-4f0b-9775-b31322a5cfb0 · outbound

This paper cites Hashimoto, T.

Detecting high-dimensional entanglement with simple measurements Hashimoto, T

Reference 43

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source=pdf_text observed=2026-08-04T07:21:54.369424Z digest=sha256:74d986e6afd979d6a857e0ab8076ee49ace69eff807a6417f1b393f437ef5e1d

Observation aadf8acd-d718-41e4-bc75-8b4938b6178f · outbound

This paper cites Sakamaki, T.

Detecting high-dimensional entanglement with simple measurements Sakamaki, T

Reference 44

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source=pdf_text observed=2026-08-04T07:21:54.520748Z digest=sha256:ab34182df8c43a58a3e7d43dbf5de2dc97237f148442544b3c49daad693d391c

Observation b45e3463-46ac-4c38-9948-cb9ae500c91c · outbound

This paper cites Since we are aiming at inferring the Schmidt number via fidelity es- timation, we relax the Schmidt number constraint to a fidelityconstraint.

Detecting high-dimensional entanglement with simple measurements Since we are aiming at inferring the Schmidt number via fidelity es- timation, we relax the Schmidt number constraint to a fidelityconstraint

Reference 45

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source=pdf_text observed=2026-08-04T07:21:54.687054Z digest=sha256:bcc3390941fc204030ca318ba56ccfcdab78a1ab3c3771137b99fa0252654a68

Observation ae33c491-2dde-42da-963e-978a03efce97 · outbound

This paper cites an unresolved cited work.

Detecting high-dimensional entanglement with simple measurements Unresolved cited work

Reference 46

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source=pdf_text observed=2026-08-04T07:21:54.777938Z digest=sha256:132f90e6644bb3f49ef8d68e2529e8dd7ee0314fd83a2cdbef415e9817ea135d

Observation 66ceb0f8-c1af-4227-9147-5a2c4b5793dc · outbound

This paper cites (Bn)AB ⊗ 1 k kX p,q=1 |pp⟩ ⟨qq|A′B′ # |albm⟩AB ⊗ |lm⟩A′B′ =k 2   kX i=1 λ∗ i ⟨aii|AA′ ⊗ 1√ k kX j=1 ⟨bjj|BB ′  .

Detecting high-dimensional entanglement with simple measurements (Bn)AB ⊗ 1 k kX p,q=1 |pp⟩ ⟨qq|A′B′ # |albm⟩AB ⊗ |lm⟩A′B′ =k 2   kX i=1 λ∗ i ⟨aii|AA′ ⊗ 1√ k kX j=1 ⟨bjj|BB ′  

Reference 47

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source=pdf_text observed=2026-08-04T07:21:54.894084Z digest=sha256:62c1ef36e2af251c895acae64a0e1b3baa2c87fd53f6a0557b59684395c44873

Observation ce308826-7955-4218-b70c-2100eb5806f5 · outbound

This paper cites Then, the following optimisation max {φ} k2 Tr (Bn)AB ⊗ ϕ+ k ϕ+ k A′B′ φAA′ ⊗χ BB ′ s.t.φ AA′ ⪰0,Tr(φ AA′) = 1.

Detecting high-dimensional entanglement with simple measurements Then, the following optimisation max {φ} k2 Tr (Bn)AB ⊗ ϕ+ k ϕ+ k A′B′ φAA′ ⊗χ BB ′ s.t.φ AA′ ⪰0,Tr(φ AA′) = 1

Reference 48

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source=pdf_text observed=2026-08-04T07:21:55.011771Z digest=sha256:878cd294f8b515be0bd8c474efc28d553236f96331206f50e92074469a0a2283

Observation db080e29-09ab-47d8-88a8-b3e2c09d7e69 · outbound

This paper cites an unresolved cited work.

Detecting high-dimensional entanglement with simple measurements Unresolved cited work

Reference 49

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source=pdf_text observed=2026-08-04T07:21:55.208250Z digest=sha256:d97bca70b4b540a3dacd280d2f3b74c55295507871450dbcd44dd8c21441ac61

Observation b945eea0-523a-4485-9dae-f25af9da0838 · outbound

This paper cites The procedure can be repeated until desired conver- gence is reached.

Detecting high-dimensional entanglement with simple measurements The procedure can be repeated until desired conver- gence is reached

Reference 50

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source=pdf_text observed=2026-08-04T07:21:55.329643Z digest=sha256:0f20e535e7837eda949dfe7c50795e43eeff8331641988bf685f54677e7b8b11

Observation d377180c-9a45-4597-b4db-075700610413 · outbound

This paper cites an unresolved cited work.

Detecting high-dimensional entanglement with simple measurements Unresolved cited work

Reference 51

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