Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-06-27T04:29:37.263860Z
Paper Citation Record · LEDGER
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.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-06-27T04:29:37.263860Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
61 of 61 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation aaf9d61d-9f01-4d41-ab3f-6c4669d34d0a · outbound
MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Nuclear induction,
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d8ac4216-4531-4fc4-8b5f-d1192fbe042f · outbound
MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits The nuclear induction experiment,
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8d6524a8-3e07-4f9d-a6f3-60b7669add8d · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7f6f63a9-4c16-49b1-bbcd-44d879b8bf8f · outbound
MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Unresolved cited work
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9c0af4e1-1eb3-4bb1-9703-4216700f6ce4 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 872c4033-8d00-427c-84de-f2fb864a65a8 · outbound
MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Unresolved cited work
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1a0604f1-d4bd-45fa-9126-5cdd74b9128a · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5ae876d4-7ff9-442f-87f6-c714200fa9d2 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8930bba5-1b9f-401e-8772-373e0012605b · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4f45e395-753c-4350-b769-cc3cae775842 · outbound
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
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 59269bb4-470e-4733-a440-2ac0445e22ae · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3fb6e58a-68a8-4bd7-a791-2df85a764f8d · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c09eccb2-211a-4aff-aecd-6e91ed9f66b8 · outbound
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
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 8ab2c03b-2da7-45bf-ae35-5b676efae0ed · outbound
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
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 58fd9815-4c4c-4ba0-9925-88a36a46fbab · outbound
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
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 615c3497-6971-4ed0-8b58-33b8f9c24138 · outbound
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
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 294140d5-34a2-4bcf-898e-04ec42700d34 · outbound
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
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 71083fb6-037e-45f5-a174-27a4973a590e · outbound
MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Layout-awarequantumcircuitryandalgorithmicextensionstoGrover’s algorithm,
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 86d65fb4-d032-42bc-bd20-6a77dad43c72 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 33e19228-0f8c-46c0-ab00-d0f46596a82a · outbound
MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Multipoles from Majorana constellations,
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b48201cd-95c1-454d-88e6-a6b87367a8d5 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2960011a-ddec-43f9-a6e5-caa8b5d69695 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c54777f0-7cd4-4871-a9ea-b1a52ea2e19e · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f3a037c1-6c2d-45ba-b74f-ae2c367687bf · outbound
MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Dasdampfungsprobleminderquantenmechanik,
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 763c18f6-f0f8-4489-88de-c942b3841738 · outbound
MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Unresolved cited work
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 12f2fce5-4014-43ab-bf44-ff34c40a0ee5 · outbound
MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Unresolved cited work
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 93a52e77-4b6f-4147-a732-c558380617bf · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e9b10527-b31f-477b-8c9a-5ad263ba6fb5 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5505833c-7566-4002-8570-069df2c600b7 · outbound
MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Unresolved cited work
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9ad6cc58-cef6-419d-9d39-8010d6b0a9fc · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6f9110c6-6638-4c62-8eff-2383a4737deb · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a2541c9b-c030-46f1-8fbc-2cfce207166d · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9548e33f-322f-49fd-b699-d24b62a3ff95 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c8caab16-a2f4-40c1-b47d-89de0912c0c5 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a648875b-920b-4bc7-981d-d6395a86b4da · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0d2983be-6036-433e-bcfa-b6473e613505 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1f6e3db2-19f5-4a9e-aa98-8e7b7f30620d · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5a9d577d-4dc7-4610-89e3-ab34d8bb0e76 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 20e7fdc0-d024-4945-a757-f415a25d972b · outbound
MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits AclassofsolvableLiealgebrasandtheirCasimirinvari- ants,
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8ecd93ed-8470-458c-8f63-27649ad834a4 · outbound
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
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 eb53828e-9f2e-423c-b7d7-1c26f7c9c3a7 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 29a2041a-7b3f-472d-9f59-7db63a5aa812 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5f31c0f6-6ab7-4dbd-a3e7-5f4292d5fdd3 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ce9eceb3-acfc-430c-a231-7f1f850fa954 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4b70fe54-049b-4dda-942f-c56bc470824c · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d5d51280-ac72-4e00-9666-2608e486c64d · outbound
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
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 27241074-ba08-4b7f-83f6-6c4324afe075 · outbound
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a1aa5a00-a1c3-4816-b3d8-5f38790de642 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c65f501c-62fe-401e-aa95-7d8371a326bb · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6203674b-9ff1-43f0-ba92-3630cff3616c · outbound
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
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 57a3bcf6-26eb-458e-aff1-160a52e0bb9a · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b93f3adc-f9a6-488b-a62e-6a2f81c4ba0f · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2f52e905-adc1-4993-97fe-042f3200c291 · outbound
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
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 3e9dad95-a59a-48d0-824b-5eb300b2339a · outbound
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
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 a4e94f4f-09bd-4b8f-b83d-eee443aec31a · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8d52f6dc-233f-455f-b570-02a4a12d0cb1 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c139a370-dcbf-4e78-834f-96e4028825a8 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 35cb97bd-3fb5-4865-b202-6a123e86dd2a · outbound
MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits Multiple-valued quantum logic,
Reference 58
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bfea3737-82a7-4540-8e3a-223f2fb4545b · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 02c596e9-21b4-4fcc-86a9-4cdea4b01baa · outbound
MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits GCAMPS: a scalable classicalsimulatorforquditsystems,
Reference 60
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 212d8ed2-0957-4cf0-b0b1-c9109d2fb0c4 · outbound
Reference 61
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
No inbound Pith citation observations are available.