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Paper Citation Record · LEDGER

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits

As of 11 August 2026, this Paper Citation Record lists 61 of 61 outbound references and 0 inbound Pith citation observations for arXiv:2606.15801.

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

pith.paper-citation-record.v1
2606.15801 v2

Coverage vector

measured 61 of 61 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T04:29:37.263860Z

measured 61 of 61 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

61 of 61 outbound references displayed

  • verified exact11
  • verified fuzzy0
  • unresolved50
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation aaf9d61d-9f01-4d41-ab3f-6c4669d34d0a · outbound

This paper cites Nuclear induction,.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Nuclear induction,

Reference 1

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Observation d8ac4216-4531-4fc4-8b5f-d1192fbe042f · outbound

This paper cites The nuclear induction experiment,.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits The nuclear induction experiment,

Reference 2

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source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:844bf3807f1a4be8b2495703f25c198e3ce1c84ca79450a8d7a91730e319c229

Observation 8d6524a8-3e07-4f9d-a6f3-60b7669add8d · outbound

This paper cites The principle of nuclear induction,.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits The principle of nuclear induction,

Reference 3

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source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:1f24b9bedad32c925bbf3f252a221caaa5e65dfe350ea8c040e5aa14ed89a08a

Observation 7f6f63a9-4c16-49b1-bbcd-44d879b8bf8f · outbound

This paper cites an unresolved cited work.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Unresolved cited work

Reference 4

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source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:b33e10f47f3f2f3a932df78e83b2c4527f0c2833b5a7af02a7d8ae2df7a0044f

Observation 9c0af4e1-1eb3-4bb1-9703-4216700f6ce4 · outbound

This paper cites Chevalley,Theory of Lie Groups.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Chevalley,Theory of Lie Groups

Reference 5

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source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:838494fc16318f923f2709b619783823e6d50e2714c3be8ba466d98c5896871c

Observation 872c4033-8d00-427c-84de-f2fb864a65a8 · outbound

This paper cites an unresolved cited work.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Unresolved cited work

Reference 6

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source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:c9325b2920a65292e763b57615d2c7259189474b3e0f5d2d06b7ff1621e429cc

Observation 1a0604f1-d4bd-45fa-9126-5cdd74b9128a · outbound

This paper cites Generalization of Bloch’s theorem for arbitrary boundary conditions: Interfaces and topological surface band struc- ture,.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Generalization of Bloch’s theorem for arbitrary boundary conditions: Interfaces and topological surface band struc- ture,

Reference 7

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source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:406d95d0640e35d48c00be807ea82648cc4f91d5e1fb0cab5fc5fd21d2dc43ba

Observation 5ae876d4-7ff9-442f-87f6-c714200fa9d2 · outbound

This paper cites Automorphic Bloch theorems for hyperbolic lattices,.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Automorphic Bloch theorems for hyperbolic lattices,

Reference 8

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source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:a0b63e1fa88ca2fcfe1419a6ab30084d229f46b784b248beee85cbe55b9fd490

Observation 8930bba5-1b9f-401e-8772-373e0012605b · outbound

This paper cites Generalized Bloch theorem and topological characterization,.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Generalized Bloch theorem and topological characterization,

Reference 9

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source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:06dab6ad53a283e37e9ae732f92454f6b5bb7716340278fdf3a5c7e6cd4b6384

Observation 4f45e395-753c-4350-b769-cc3cae775842 · outbound

This paper cites A geometrical design tool for building cost-effective layout-aware n -bit quantum gates using the Bloch sphere approach.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits A geometrical design tool for building cost-effective layout-aware n -bit quantum gates using the Bloch sphere approach

Reference 10

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arxiv_id, observed 2026-07-03T17:08:43.935429Z

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.

source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:8dbedc9b419ff59431f1791f334dd9edcaca174488a1257c0ee4a458c00bb00c

Observation 59269bb4-470e-4733-a440-2ac0445e22ae · outbound

This paper cites BSA: the Bloch sphere approach as a geometrical design tool for building cost-effective quantum gates,.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits BSA: the Bloch sphere approach as a geometrical design tool for building cost-effective quantum gates,

Reference 11

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source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:eacf622ed095dc922904c244719d42827bea4a9d2d264f79fde1413d51ac46a3

Observation 3fb6e58a-68a8-4bd7-a791-2df85a764f8d · outbound

This paper cites Improving the cir- cuit realization of Grover’s quantum search algorithm by replacing Hadamard with√X gates,.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Improving the cir- cuit realization of Grover’s quantum search algorithm by replacing Hadamard with√X gates,

Reference 12

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source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:fe57c7044f82e4ac1abc911ebce1672fb7dec1341cc031d4a933c107bb2e7c6b

Observation c09eccb2-211a-4aff-aecd-6e91ed9f66b8 · outbound

This paper cites A Cost-Effective Quantum Boolean-Phase SWAP Gate with Only Two CNOT Gates.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits A Cost-Effective Quantum Boolean-Phase SWAP Gate with Only Two CNOT Gates

Reference 13

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:1644ff96a80d42fc5da149eef503f40d5a3371f3993537c1abdfb1f174d26afd

Observation 8ab2c03b-2da7-45bf-ae35-5b676efae0ed · outbound

This paper cites p-SWAP: A Generic Cost-Effective Quantum Boolean-Phase SWAP Gate Using Two CNOT Gates and the Bloch Sphere Approach.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits p-SWAP: A Generic Cost-Effective Quantum Boolean-Phase SWAP Gate Using Two CNOT Gates and the Bloch Sphere Approach

Reference 14

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verified exact
arxiv_id, observed 2026-07-03T17:08:43.944147Z

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.

source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:3eab36fe8e4295c0d0505fb3f1dc3ec34fdb254d28c4b04245fd791813c7c7c6

Observation 58fd9815-4c4c-4ba0-9925-88a36a46fbab · outbound

This paper cites Cost-Effective Realization of n-Bit Toffoli Gates for IBM Quantum Computers Using the Bloch Sphere Approach and IBM Native Gates.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Cost-Effective Realization of n-Bit Toffoli Gates for IBM Quantum Computers Using the Bloch Sphere Approach and IBM Native Gates

Reference 15

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arxiv_id, observed 2026-07-03T17:08:43.951777Z

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.

source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:13fb87b247488283d33da60ebb40a72e1c8b5c8965c6575dc604650c09fdbc72

Observation 615c3497-6971-4ed0-8b58-33b8f9c24138 · outbound

This paper cites CALA-$n$: A Quantum Library for Realizing Cost-Effective 2-, 3-, 4-, and 5-bit Gates on IBM Quantum Computers using Bloch Sphere Approach, Clifford+T Gates, and Layouts.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits CALA-$n$: A Quantum Library for Realizing Cost-Effective 2-, 3-, 4-, and 5-bit Gates on IBM Quantum Computers using Bloch Sphere Approach, Clifford+T Gates, and Layouts

Reference 16

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arxiv_id, observed 2026-07-03T17:08:43.954466Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:be1894ea992e0a6b52fda4811c676a312a9ed076e978e3353e4568d2e07c3eb1

Observation 294140d5-34a2-4bcf-898e-04ec42700d34 · outbound

This paper cites GALA-n: Generic Architecture of Layout-Aware n-Bit Quantum Operators for Cost-Effective Realization on IBM Quantum Computers.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits GALA-n: Generic Architecture of Layout-Aware n-Bit Quantum Operators for Cost-Effective Realization on IBM Quantum Computers

Reference 17

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arxiv_id, observed 2026-07-03T17:08:43.947112Z

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.

source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:78298b4a03a131606d9a22d86e86cd4b95c8d1a8bb946d2eccf7df852c3240b0

Observation 71083fb6-037e-45f5-a174-27a4973a590e · outbound

This paper cites Layout-awarequantumcircuitryandalgorithmicextensionstoGrover’s algorithm,.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Layout-awarequantumcircuitryandalgorithmicextensionstoGrover’s algorithm,

Reference 18

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source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:e9f2304d82aab7ad2fa6a24f738dfe8bd67d82446e646b10c21f13d93f304909

Observation 86d65fb4-d032-42bc-bd20-6a77dad43c72 · outbound

This paper cites Atomi orientati in campo magnetico variabile,.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Atomi orientati in campo magnetico variabile,

Reference 19

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source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:5d52cdcc4d4f3c95d876f5b3177fec50d871ce5e57b3a235f81b2b148779dc12

Observation 33e19228-0f8c-46c0-ab00-d0f46596a82a · outbound

This paper cites Multipoles from Majorana constellations,.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Multipoles from Majorana constellations,

Reference 20

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source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:1cf43cda1f15278eff9ca58e492e85258dd2634540703310852a6495ca471636

Observation b48201cd-95c1-454d-88e6-a6b87367a8d5 · outbound

This paper cites Majorana representation for mixed states,.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Majorana representation for mixed states,

Reference 21

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source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:ce9c9e6534a25fe70e4921d4f35e7179b834a2b44a4599b4edda1b741d80ec0e

Observation 2960011a-ddec-43f9-a6e5-caa8b5d69695 · outbound

This paper cites Extremal quantum states and their Majorana constellations,.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Extremal quantum states and their Majorana constellations,

Reference 22

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source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:f5b2823d6df911a57d4f18fef42a8d5e7999d0e4254ce3b232a967df2a6221b9

Observation c54777f0-7cd4-4871-a9ea-b1a52ea2e19e · outbound

This paper cites Description of states in quantum mechanics by density matrix and oper- ator methods,.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Description of states in quantum mechanics by density matrix and oper- ator methods,

Reference 23

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source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:bec7308ac352f4bfb6d2d725c99818d43416b96f813ad577d87ddacc691fd3c7

Observation f3a037c1-6c2d-45ba-b74f-ae2c367687bf · outbound

This paper cites Dasdampfungsprobleminderquantenmechanik,.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Dasdampfungsprobleminderquantenmechanik,

Reference 24

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source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:8c87e188cd98adc73305778040273dffba14551b41682c497b9db6d96878460d

Observation 763c18f6-f0f8-4489-88de-c942b3841738 · outbound

This paper cites an unresolved cited work.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Unresolved cited work

Reference 25

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source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:e805acd377f356c0e81ba61f99d37e688d0a905cc7f422b87323fb9825a55bf0

Observation 12f2fce5-4014-43ab-bf44-ff34c40a0ee5 · outbound

This paper cites an unresolved cited work.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Unresolved cited work

Reference 26

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source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:cab7064c090317d5f88de1589346d154d108e3a7a6ebc1d58fecca6b0c231bc3

Observation 93a52e77-4b6f-4147-a732-c558380617bf · outbound

This paper cites LaPierre et al.,Introduction to Quantum Computing.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits LaPierre et al.,Introduction to Quantum Computing

Reference 27

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source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:0b5e7174214b3c6da1c10bc7a7054dbe7a0d6adb78b1489eccbabaa5a6389148

Observation e9b10527-b31f-477b-8c9a-5ad263ba6fb5 · outbound

This paper cites Young,An Introduction to Hilbert Space.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Young,An Introduction to Hilbert Space

Reference 28

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source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:7752bd222c6f6817865b1574074c9e3fe4bd0864287670c2becd0bfcde3f92c6

Observation 5505833c-7566-4002-8570-069df2c600b7 · outbound

This paper cites an unresolved cited work.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Unresolved cited work

Reference 29

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source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:5121ff7e669253c52c2283a095096a1e5450c8be9842e1b178d5136e513385e7

Observation 9ad6cc58-cef6-419d-9d39-8010d6b0a9fc · outbound

This paper cites An elementary introduction to the Hopf fibration,.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits An elementary introduction to the Hopf fibration,

Reference 30

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source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:914a0a50f721e7399150e7b619d6e4d34823363320652ef03a43183d89f71f5f

Observation 6f9110c6-6638-4c62-8eff-2383a4737deb · outbound

This paper cites Geometry of entangled states, Bloch spheres and Hopf fibrations,.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Geometry of entangled states, Bloch spheres and Hopf fibrations,

Reference 31

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source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:4bfad0031c8fdaad7fd77eb6e8ed9f9b07a947efdd8ca5a27b2c9c2c4b57a8fc

Observation a2541c9b-c030-46f1-8fbc-2cfce207166d · outbound

This paper cites The Hopf fibration—seven times in physics,.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits The Hopf fibration—seven times in physics,

Reference 32

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source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:ea2fdbe82fda451cab49b23c9aa18e7b1c820a513096af8c88b13133426b3010

Observation 9548e33f-322f-49fd-b699-d24b62a3ff95 · outbound

This paper cites Experimental investigation of the dynamics of entanglement: Light- matter analogy,.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Experimental investigation of the dynamics of entanglement: Light- matter analogy,

Reference 33

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source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:7e4e05fdf6bfe8d93363705c90287b598ae070aac217b15d3990b354ab33af94

Observation c8caab16-a2f4-40c1-b47d-89de0912c0c5 · outbound

This paper cites Geometry of the general- ized Bloch sphere for qutrits,.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Geometry of the general- ized Bloch sphere for qutrits,

Reference 34

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:014cff5463ea6ea1f5a0a6b1976af5abc9b34ba962b025085a1752bdb19dd615

Observation a648875b-920b-4bc7-981d-d6395a86b4da · outbound

This paper cites Symmetries of baryons and mesons,.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Symmetries of baryons and mesons,

Reference 35

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:5ddbdde35db4d5bc3e7946329e4ace90764a2bd25adab79370b09173fa46e332

Observation 0d2983be-6036-433e-bcfa-b6473e613505 · outbound

This paper cites The Bloch vector for N-level systems,.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits The Bloch vector for N-level systems,

Reference 36

Resolution
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no resolver link, observed 2026-06-27T04:29:37.263860Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:ff2f6557899149198b5834d11dceeb038d9ce6f70a29179a3b39921cd60c658d

Observation 1f6e3db2-19f5-4a9e-aa98-8e7b7f30620d · outbound

This paper cites Characterization of the state space for n-level quantum systems,.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Characterization of the state space for n-level quantum systems,

Reference 37

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:fafe2457035550d142a8a8d9b5c705ec0ea24c99ebee006ca7db4fb73e45a08e

Observation 5a9d577d-4dc7-4610-89e3-ab34d8bb0e76 · outbound

This paper cites A general setting for Casimir invariants,.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits A general setting for Casimir invariants,

Reference 38

Resolution
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no resolver link, observed 2026-06-27T04:29:37.263860Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:53a0e7509e150ed61dba5cfa563e3bfd552a23739cd7734b15762d674ef02d16

Observation 20e7fdc0-d024-4945-a757-f415a25d972b · outbound

This paper cites AclassofsolvableLiealgebrasandtheirCasimirinvari- ants,.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits AclassofsolvableLiealgebrasandtheirCasimirinvari- ants,

Reference 39

Resolution
unresolved
no resolver link, observed 2026-06-27T04:29:37.263860Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:2356ded08cfe3c5ebec279da45ea959b8ec32a0ab2e25a5698c32cc27a55da16

Observation 8ecd93ed-8470-458c-8f63-27649ad834a4 · outbound

This paper cites Quantum Geometric Tensor (Fubini-Study Metric) in Simple Quantum System: A pedagogical Introduction.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Quantum Geometric Tensor (Fubini-Study Metric) in Simple Quantum System: A pedagogical Introduction

Reference 40

Resolution
verified exact
local_arxiv, observed 2026-07-03T17:08:43.952191Z

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.

source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:e1cc9169119d6d98b13e4033f2101085e5055d10d96f7224163cfc2679263f2d

Observation eb53828e-9f2e-423c-b7d7-1c26f7c9c3a7 · outbound

This paper cites From complexity geometry to holographic spacetime,.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits From complexity geometry to holographic spacetime,

Reference 41

Resolution
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no resolver link, observed 2026-06-27T04:29:37.263860Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:8397654e8d36272215bb589987d7f5a82e9c4fc61a716003fe8146fb45cd5f06

Observation 29a2041a-7b3f-472d-9f59-7db63a5aa812 · outbound

This paper cites On the quantum correction for thermodynamic equilibrium,.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits On the quantum correction for thermodynamic equilibrium,

Reference 42

Resolution
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Source-reported events for the cited work

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source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:624959cd1f4a31088006f200b3641455c2070f738cdd5d84fbf4e98b3d923e6c

Observation 5f31c0f6-6ab7-4dbd-a3e7-5f4292d5fdd3 · outbound

This paper cites A Wigner-function formulation of finite-state quantum mechan- ics,.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits A Wigner-function formulation of finite-state quantum mechan- ics,

Reference 43

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:c44bfa5199e8766efb30ae49992296702d39f7d3da979235f3eb0518ec04795f

Observation ce9eceb3-acfc-430c-a231-7f1f850fa954 · outbound

This paper cites Entanglement measures and the Hilbert-Schmidt distance,.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Entanglement measures and the Hilbert-Schmidt distance,

Reference 44

Resolution
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no resolver link, observed 2026-06-27T04:29:37.263860Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:c5327915f8038c6b926d745f1b3dc0a6b7823c32331c93565a2a6a74b40cb77a

Observation 4b70fe54-049b-4dda-942f-c56bc470824c · outbound

This paper cites Bures volume of the set of mixed quantum states,.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Bures volume of the set of mixed quantum states,

Reference 45

Resolution
unresolved
no resolver link, observed 2026-06-27T04:29:37.263860Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:c3a4027e85f61874c20c5ed4d9af85c284425edf7643f971d709f5c6dd2f2949

Observation d5d51280-ac72-4e00-9666-2608e486c64d · outbound

This paper cites Bloch sphere analog of qudits using Heisenberg-Weyl Operators.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Bloch sphere analog of qudits using Heisenberg-Weyl Operators

Reference 46

Resolution
verified exact
arxiv_id, observed 2026-07-03T17:08:43.949209Z

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.

source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:03734ab01594788fc79cd5dd4c492ccc3b3097b314be1295ac6354b293e476ad

Observation 27241074-ba08-4b7f-83f6-6c4324afe075 · outbound

This paper cites Al-Bayaty.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Al-Bayaty

Reference 47

Resolution
unresolved
no resolver link, observed 2026-06-27T04:29:37.263860Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:9ad35136a5326333266d6d45405111a870091085cef5f87a4ce42444ec1df80c

Observation a1aa5a00-a1c3-4816-b3d8-5f38790de642 · outbound

This paper cites On some basic aspects of ternary reversible and quantum computing,.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits On some basic aspects of ternary reversible and quantum computing,

Reference 48

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:b27b00842cf1c9e9b7ef5c774c70f7dbcaf97ee2a22830ebf5e6ff001498ae31

Observation c65f501c-62fe-401e-aa95-7d8371a326bb · outbound

This paper cites Can ternary computing improve information assurance?.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Can ternary computing improve information assurance?

Reference 49

Resolution
unresolved
no resolver link, observed 2026-06-27T04:29:37.263860Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:92419cf0e2fed90bc94c3c5b981ca035bb19ee6c9a27466344ac82ab95371d82

Observation 6203674b-9ff1-43f0-ba92-3630cff3616c · outbound

This paper cites Synthesis of Ternary Quantum Logic Circuits by Decomposition.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Synthesis of Ternary Quantum Logic Circuits by Decomposition

Reference 50

Resolution
verified exact
local_arxiv, observed 2026-07-03T17:08:43.941090Z

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.

source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:d9cf9ce8494007793b6ec7ad4b8aeb813d0b41ec3003dd08c6b5794dc576ce81

Observation 57a3bcf6-26eb-458e-aff1-160a52e0bb9a · outbound

This paper cites Improved complexity of quantum oracles for ternary Grover algorithm for graph coloring,.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Improved complexity of quantum oracles for ternary Grover algorithm for graph coloring,

Reference 51

Resolution
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Source-reported events for the cited work

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source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:b2299dcc5ad99805bd2675db4008de84d760a02e92905e87bbc8ae6b2be774da

Observation b93f3adc-f9a6-488b-a62e-6a2f81c4ba0f · outbound

This paper cites Realizing ternary quantum switching networks without ancilla bits,.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Realizing ternary quantum switching networks without ancilla bits,

Reference 52

Resolution
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no resolver link, observed 2026-06-27T04:29:37.263860Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:3738a6c18b760ebd4c55e17c40de0f040df1a9326bdc7280f38fbce8429bf84f

Observation 2f52e905-adc1-4993-97fe-042f3200c291 · outbound

This paper cites A Conceptual Technology-Dependent Framework of Ternary Quantum Gates.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits A Conceptual Technology-Dependent Framework of Ternary Quantum Gates

Reference 53

Resolution
verified exact
local_arxiv, observed 2026-07-03T17:08:43.937828Z

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.

source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:241ef6cf2868c1963b705b3c1073e4deb2de0eacbfc56e00f765211bc4ef9a05

Observation 3e9dad95-a59a-48d0-824b-5eb300b2339a · outbound

This paper cites Generalised Quantum Gates for Qudits and their Application in Quantum Fourier Transform.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Generalised Quantum Gates for Qudits and their Application in Quantum Fourier Transform

Reference 54

Resolution
verified exact
arxiv_id, observed 2026-07-03T17:08:43.929584Z

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.

source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:c8435171a792be35626114a753025ed95ae14b9664b1fe81065762a0cb3d1dd7

Observation a4e94f4f-09bd-4b8f-b83d-eee443aec31a · outbound

This paper cites High-fidelity qutrit entangling gates for superconducting circuits,.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits High-fidelity qutrit entangling gates for superconducting circuits,

Reference 55

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:0fbad4363e72d7fe8b8dcfc24e198f53e4a9776cb9dda32fae546ecab4b397ca

Observation 8d52f6dc-233f-455f-b570-02a4a12d0cb1 · outbound

This paper cites A class of generalized Walsh functions.,.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits A class of generalized Walsh functions.,

Reference 56

Resolution
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no resolver link, observed 2026-06-27T04:29:37.263860Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:6bc9fff271279591cb49add49f4629e21afd1bfd61b0b23a8b7b1d2d3fb99199

Observation c139a370-dcbf-4e78-834f-96e4028825a8 · outbound

This paper cites Synthesis of ternary Grover’s algorithm,.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Synthesis of ternary Grover’s algorithm,

Reference 57

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:ee7e09b51a33c574d7ac07d2e06c792a2e041ea9220240236bfec66ed1b31103

Observation 35cb97bd-3fb5-4865-b202-6a123e86dd2a · outbound

This paper cites Multiple-valued quantum logic,.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Multiple-valued quantum logic,

Reference 58

Resolution
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no resolver link, observed 2026-06-27T04:29:37.263860Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:e8d2f330b5a0a443c8446c68a2847fd2e9aa007f302536d6a3dbb1ecc3b4d61e

Observation bfea3737-82a7-4540-8e3a-223f2fb4545b · outbound

This paper cites QuDiet: a classical simulation platform for qubit-qudit hybrid quantum systems,.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits QuDiet: a classical simulation platform for qubit-qudit hybrid quantum systems,

Reference 59

Resolution
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no resolver link, observed 2026-06-27T04:29:37.263860Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:29f1dece3d446ddccc24ad41d99d8257f552cbf975fd5ebd53f63a0bf44a5a50

Observation 02c596e9-21b4-4fcc-86a9-4cdea4b01baa · outbound

This paper cites GCAMPS: a scalable classicalsimulatorforquditsystems,.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits GCAMPS: a scalable classicalsimulatorforquditsystems,

Reference 60

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:983c24f5666feb8fe869c46cdcdc328a720912d5155792d244eaa611454e3d95

Observation 212d8ed2-0957-4cf0-b0b1-c9109d2fb0c4 · outbound

This paper cites Simulators,.

MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Simulators,

Reference 61

Resolution
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no resolver link, observed 2026-06-27T04:29:37.263860Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T04:29:37.263860Z digest=sha256:8f20d887c8a9e75b4bd79a81007508b47d86e52e3068cd3dc995bd34e3839568

Pith citing papers

No inbound Pith citation observations are available.