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Paper Citation Record · LEDGER

Magic-protected entanglement and Clifford-irreducible structure in magic state space

As of 19 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 0 inbound Pith citation observations for arXiv:2607.18400.

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

pith.paper-citation-record.v1
2607.18400 v1

Coverage vector

measured 53 of 53 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-01T15:40:19.701573Z

measured 53 of 53 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Reference resolution

53 of 53 outbound references displayed

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Outbound references

Observation de5e2883-477e-434d-a210-22d071faade7 · outbound

This paper cites GHZ states.The GHZ family represents one of the two nonequivalent classes of genuine tripartite entangle- ment under stochastic local operations and classical com- munication.

Magic-protected entanglement and Clifford-irreducible structure in magic state space GHZ states.The GHZ family represents one of the two nonequivalent classes of genuine tripartite entangle- ment under stochastic local operations and classical com- munication

Reference 1

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Observation f79ef0ec-9a58-47d4-8f20-302e49f5a436 · outbound

This paper cites Analogously, we callUaCToperator ifU= (U 1 ⊗ · · · ⊗ Un)C.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Analogously, we callUaCToperator ifU= (U 1 ⊗ · · · ⊗ Un)C

Reference 2

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Observation 4381f0de-85d1-4f65-931f-d2045b58ad43 · outbound

This paper cites Hence MS(U|ψ⟩) = 0.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Hence MS(U|ψ⟩) = 0

Reference 3

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Observation 0709f3bb-85c1-4515-852c-c43bb4a2fd4e · outbound

This paper cites , n})be a set of hyperedges, where eache∈E is a subset of qubits.

Magic-protected entanglement and Clifford-irreducible structure in magic state space , n})be a set of hyperedges, where eache∈E is a subset of qubits

Reference 4

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Observation de7cdd3c-e8dc-4965-a2bc-8ab82f426294 · outbound

This paper cites We use them as a second class of examples sup- porting the fundamental property ofW-magic.

Magic-protected entanglement and Clifford-irreducible structure in magic state space We use them as a second class of examples sup- porting the fundamental property ofW-magic

Reference 5

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Observation 3bb92805-5889-47a6-b827-3bbe4ad67bf7 · outbound

This paper cites The Heisenberg Representation of Quantum Computers.

Magic-protected entanglement and Clifford-irreducible structure in magic state space The Heisenberg Representation of Quantum Computers

Reference 6

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Observation 64e2c371-125d-4293-9474-220d15b4c5f9 · outbound

This paper cites Improved Simulation of Stabilizer Circuits.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Improved Simulation of Stabilizer Circuits

Reference 7

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Observation 95681f7f-1859-4db6-ac07-61a6236ed8bd · outbound

This paper cites Application of a resource theory for magic states to fault-tolerant quantum computing.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Application of a resource theory for magic states to fault-tolerant quantum computing

Reference 8

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Observation 5593884c-c108-48db-8ae2-e6dd6aa678e1 · outbound

This paper cites Many-body quantum magic.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Many-body quantum magic

Reference 9

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source=pdf_text observed=2026-08-01T15:40:16.482156Z digest=sha256:3b872f09d1b8a9fa21f4a523c385bb1bb899a9f29620939ac7665d7a8fd30e1f

Observation 70475399-56af-48bb-9f06-c08d5e358941 · outbound

This paper cites On the role of entanglement in quantum computational speed-up.

Magic-protected entanglement and Clifford-irreducible structure in magic state space On the role of entanglement in quantum computational speed-up

Reference 10

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source=pdf_text observed=2026-08-01T15:40:16.551101Z digest=sha256:cedbe77124b7d4d04283c27048dad2f38cf1fbca2bd65778489139a4a499b5f6

Observation a687206a-c21d-41d6-a72e-af24d8d3b7a2 · outbound

This paper cites Dowling, K.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Dowling, K

Reference 11

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Observation ea52cee2-c84d-40f9-b5c1-8e2ef528a82d · outbound

This paper cites Andreadakis and P.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Andreadakis and P

Reference 12

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Observation 488a0279-1219-4dde-ba2e-52c5c0a5667e · outbound

This paper cites Quantum Non-Local Nonstabilizerness.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Quantum Non-Local Nonstabilizerness

Reference 13

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Observation 280d1712-6e4f-4d3a-894b-1eb83dac30ad · outbound

This paper cites The Resource Theory of Stabilizer Computation.

Magic-protected entanglement and Clifford-irreducible structure in magic state space The Resource Theory of Stabilizer Computation

Reference 14

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source=pdf_text observed=2026-08-01T15:40:16.938979Z digest=sha256:093c6a327445b5fa1ab6fe72017d20eeef9318727f89eb716b32607770ecd850

Observation c4175b0d-91f8-43ba-bf13-a5d95e5fb6ee · outbound

This paper cites Simulation of quantum circuits by low-rank stabilizer decompositions.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Simulation of quantum circuits by low-rank stabilizer decompositions

Reference 15

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Observation 4d8e0216-d14d-4d18-b2e1-f3f7076e0763 · outbound

This paper cites Lower bounds on the non-Clifford resources for quantum computations.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Lower bounds on the non-Clifford resources for quantum computations

Reference 16

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source=pdf_text observed=2026-08-01T15:40:17.175096Z digest=sha256:cd0580a873645609bc21bfc4d8c7e5fbba9052c926fe55d2e45ad54722e6ecad

Observation f5e5c4aa-abd3-4c8f-835d-a8dbb46467d3 · outbound

This paper cites Stabilizer R\'enyi entropy.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Stabilizer R\'enyi entropy

Reference 17

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Observation 62acaa1f-d36e-442e-ae80-dcee546b7333 · outbound

This paper cites Stabilizer entropies and nonstabilizerness monotones.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Stabilizer entropies and nonstabilizerness monotones

Reference 18

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source=pdf_text observed=2026-08-01T15:40:17.310084Z digest=sha256:56d3c0f61295f6f1b03a5ff1ea3b517308efc552966eeaabfa64a1feefe3836c

Observation 71ab5a10-0677-4b69-9d7f-d0e73796cab7 · outbound

This paper cites Operational interpretation of the Stabilizer Entropy.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Operational interpretation of the Stabilizer Entropy

Reference 19

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source=pdf_text observed=2026-08-01T15:40:17.381509Z digest=sha256:74887bf8a84b4eb635b7914ff75d7add41f3c79e9492bdc7c6476c28e3151b15

Observation 2d6db4da-1449-4191-a6ea-0231e10216b1 · outbound

This paper cites Mixed-state additivity properties of magic monotones based on quantum relative entropies for single-qubit states and beyond.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Mixed-state additivity properties of magic monotones based on quantum relative entropies for single-qubit states and beyond

Reference 20

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Observation 910cd340-70b6-4a50-8a21-734fdf905892 · outbound

This paper cites Non-Clifford Cost of Random Unitaries.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Non-Clifford Cost of Random Unitaries

Reference 21

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Observation 757225da-d2bc-46e0-8e74-5330605abb80 · outbound

This paper cites Magic Class and the Convolution Group.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Magic Class and the Convolution Group

Reference 22

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Observation 16adee24-4b33-46e2-968a-d4b4b2630103 · outbound

This paper cites Magic-induced computational separation in entanglement theory.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Magic-induced computational separation in entanglement theory

Reference 23

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Observation 573df738-5ee9-4da6-9033-da6f09bf2c28 · outbound

This paper cites Entanglement and Stabilizer entropies of random bipartite pure quantum states.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Entanglement and Stabilizer entropies of random bipartite pure quantum states

Reference 24

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Observation 7e40a1d6-75f7-4a51-bd9d-088f8eb18819 · outbound

This paper cites Quantifying non-stabilizerness through entanglement spectrum flatness.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Quantifying non-stabilizerness through entanglement spectrum flatness

Reference 25

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Observation c568ce07-5263-4549-853a-0f872b6d0827 · outbound

This paper cites Pseudomagic Quantum States.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Pseudomagic Quantum States

Reference 26

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Observation 68f0f3c5-12b6-4362-b82c-527ede37939a · outbound

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Magic-protected entanglement and Clifford-irreducible structure in magic state space Unresolved cited work

Reference 27

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Observation 162b2087-c50b-4e71-a33a-e767f0dcb116 · outbound

This paper cites Classical Simulability of Quantum Circuits with Shallow Magic Depth.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Classical Simulability of Quantum Circuits with Shallow Magic Depth

Reference 28

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Observation cc37defa-84f8-4a95-9c43-e9a7e9b02416 · outbound

This paper cites Augmenting Density Matrix Renormalization Group with Clifford Circuits.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Augmenting Density Matrix Renormalization Group with Clifford Circuits

Reference 29

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source=pdf_text observed=2026-08-01T15:40:18.108600Z digest=sha256:d0986e6edcbda84f564d225fcaff3bb5b0952d892a7707f3c695ba7922698aec

Observation 68f6a000-34d4-4cdf-8b3a-21ab1333b5df · outbound

This paper cites Stabilizer Tensor Networks: universal quantum simulator on a basis of stabilizer states.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Stabilizer Tensor Networks: universal quantum simulator on a basis of stabilizer states

Reference 30

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Observation d8d78bad-f791-447a-9dd0-8b4486c2dbec · outbound

This paper cites Non-stabilizerness Entanglement Entropy: a measure of hardness in the classical simulation of quantum many-body systems.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Non-stabilizerness Entanglement Entropy: a measure of hardness in the classical simulation of quantum many-body systems

Reference 31

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Observation 424c9329-6acc-4103-8eab-157110372b3d · outbound

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Magic-protected entanglement and Clifford-irreducible structure in magic state space Unresolved cited work

Reference 32

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Observation 4c3ce7ca-0cd0-4af3-b2bf-ba8e07f2edae · outbound

This paper cites Odavi´ c, T.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Odavi´ c, T

Reference 33

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Observation 2740fe6a-4b80-4e2d-b521-f5b2caa202d2 · outbound

This paper cites Lower bound for the T count via unitary stabilizer nullity.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Lower bound for the T count via unitary stabilizer nullity

Reference 34

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source=pdf_text observed=2026-08-01T15:40:18.468816Z digest=sha256:d2a0f053375ecabc64c506ca6cee6142ce68182dfc428d6157c04deb3f7968fc

Observation f3eea69e-21b9-4aa3-996f-6beeea619c71 · outbound

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Magic-protected entanglement and Clifford-irreducible structure in magic state space Unresolved cited work

Reference 35

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source=pdf_text observed=2026-08-01T15:40:18.531414Z digest=sha256:3b73e4c0836d0a3325f028c9b71d3262e7f7c943ba1c8e36311fcf14dd0a4ff8

Observation c8ef2980-6f10-4f27-b967-b73990f25c74 · outbound

This paper cites Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources

Reference 36

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Observation 55198e45-bfe3-44a0-b648-c4ad41438ada · outbound

This paper cites Kirkpatrick, C.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Kirkpatrick, C

Reference 37

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source=pdf_text observed=2026-08-01T15:40:18.671704Z digest=sha256:6592897aac1f58165b1b9645c96101b925f8ef9646c3530c3942a16f6c89a541

Observation 564a1032-c4c4-4d57-b3ee-53efe5f71e77 · outbound

This paper cites Variable Annealing Length and Parallelism in Simulated Annealing.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Variable Annealing Length and Parallelism in Simulated Annealing

Reference 38

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source=pdf_text observed=2026-08-01T15:40:18.744625Z digest=sha256:cd899eaea8295543e2a7837ca2af9da0064c3c625098ad31d950983d6777d56b

Observation 9bd2c52d-72b6-4f78-b23a-57c119e07f9f · outbound

This paper cites Single T gate in a Clifford circuit drives transition to universal entanglement spectrum statistics.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Single T gate in a Clifford circuit drives transition to universal entanglement spectrum statistics

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-01T15:40:18.800384Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:40:18.800384Z digest=sha256:95bd06e3ab9e8357ff8eba401f269e726651b034d8ef9ac0bffe13f1cd652f14

Observation 2f6c7e3c-ea9a-45a6-a7d5-44dd26ee9d8a · outbound

This paper cites Szombathy, A.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Szombathy, A

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-01T15:40:18.856231Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:40:18.856231Z digest=sha256:21e51e57343f8d9fad4db0ba9e455bfbe9e59be6e1f74b4664838a870aef660e

Observation 02fd93af-abae-4304-af99-623624499ab9 · outbound

This paper cites Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-01T15:40:18.896639Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:40:18.896639Z digest=sha256:4c5b38ba8588791a48d8bea33815ba606f0092c423eae7292187090988dd4345

Observation ed07650f-f03a-4557-9320-701bc8bc028a · outbound

This paper cites Conditions for a class of entanglement transformations.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Conditions for a class of entanglement transformations

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-01T15:40:18.972594Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:40:18.972594Z digest=sha256:0ae51701e81229f95459c96911238a8443b061bb8ac402612003882b42b25a62

Observation e07d29ef-8947-403c-852b-728961456585 · outbound

This paper cites Quantum Teleportation is a Universal Computational Primitive.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Quantum Teleportation is a Universal Computational Primitive

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-01T15:40:19.034010Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:40:19.034010Z digest=sha256:9e5bd74bccfd79ad9cca94d7130b67f05a14c0ba9e4061a8b8b0192a7a4a9e1e

Observation 1d0613d0-9563-4839-9ff8-e204d5f94f97 · outbound

This paper cites Diagonal gates in the Clifford hierarchy.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Diagonal gates in the Clifford hierarchy

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-01T15:40:19.092449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:40:19.092449Z digest=sha256:924b52e0429d04712d92e3849222b3b4cd96852bd22b8984adf14029b552d454

Observation 29034bea-c2d2-4bc3-9d0b-7d06b0e84d6b · outbound

This paper cites Semi-Clifford operations, structure of $\mathcal{C}_k$ hierarchy, and gate complexity for fault-tolerant quantum computation.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Semi-Clifford operations, structure of $\mathcal{C}_k$ hierarchy, and gate complexity for fault-tolerant quantum computation

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-01T15:40:19.208830Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:40:19.208830Z digest=sha256:4263bee12293f8014f0c923f9f53d646f1472ed546c5adcf5457c300e200bd93

Observation da1304ee-4022-491a-922d-84c2f9810a76 · outbound

This paper cites Generators and relations for n-qubit Clifford operators.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Generators and relations for n-qubit Clifford operators

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-01T15:40:19.284303Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:40:19.284303Z digest=sha256:33230c1bb64c262ded58527be367d7b290611e5e46cd352d79b5ec48dac3c0e9

Observation 970756f8-46df-499c-87b8-448d3924918e · outbound

This paper cites Quantum Hypergraph States.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Quantum Hypergraph States

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-01T15:40:19.348390Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:40:19.348390Z digest=sha256:6d58c5b87537b5ef6df8bd3592b7b375a93fca971d78d57559e80c443e924aea

Observation de992594-1b76-4374-8af4-8fc9ec1b71e4 · outbound

This paper cites Quantum hypergraph states: a review.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Quantum hypergraph states: a review

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-01T15:40:19.408486Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:40:19.408486Z digest=sha256:d236208caa930358cab9e356c2d943cce65f26aabc69424ed2f82bfee5c3f16b

Observation 1521f14b-3cb7-4828-b6d6-0ec102d29da0 · outbound

This paper cites Magic of quantum hypergraph states.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Magic of quantum hypergraph states

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-01T15:40:19.482337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:40:19.482337Z digest=sha256:97a0c8bda10d63d823945224047c0fadccffaff3dc3da3cf78b800afc3739a0d

Observation 2e00890b-461c-4f7f-ae09-774b1960c3db · outbound

This paper cites Poderini, D.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Poderini, D

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-01T15:40:19.537498Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:40:19.537498Z digest=sha256:20702b63c45ac928e6125ef4d688b2b24efbea077611aa007250c64b847da454

Observation 4b128c84-7adb-4a50-95f8-4782e8f734c1 · outbound

This paper cites an unresolved cited work.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Unresolved cited work

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-01T15:40:19.594000Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:40:19.594000Z digest=sha256:01e32faf821b3352d98f36e075cf765bcac2e8930ccbf35845d01dc564ec03bf

Observation 5b50bc7b-8377-4980-966a-fa8171871ef8 · outbound

This paper cites Deterministic Preparation of Dicke States.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Deterministic Preparation of Dicke States

Reference 52

Resolution
unresolved
no resolver link, observed 2026-08-01T15:40:19.648467Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:40:19.648467Z digest=sha256:2b2612ae1640d32589e460bacea5181694fc986292948a2681dc3f9869ad2a1d

Observation 9ad320e9-8db5-4ed0-b2b9-92a217fce7d5 · outbound

This paper cites Entropy Cones and Entanglement Evolution for Dicke States.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Entropy Cones and Entanglement Evolution for Dicke States

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-01T15:40:19.701573Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:40:19.701573Z digest=sha256:38e77d6aa43affa0c3ee54c7c896863d310806fc9d36621791a4c47fd105d919

Pith citing papers

No inbound Pith citation observations are available.