Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-14T03:41:44.573679Z
Paper Citation Record · LEDGER
As of 9 August 2026, this Paper Citation Record lists 100 of 121 outbound references and 0 inbound Pith citation observations for arXiv:2607.11713.
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 2026-07-14T03:41:44.573679Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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
100 of 121 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 9c8893c4-3086-4f6f-9232-a83244417f54 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Nature 614(7949), 676–681 (2023)
Reference 1
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Observation 0d9186b5-885d-49c7-806c-18c18fc86f0e · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Nature638(8052), 920–926 (2025)
Reference 2
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Observation 29c0b995-4fed-4702-8fe4-c3747752b640 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Efficient quantum circuits for binary elliptic curve arithmetic: reducing T-gate complexity
Reference 3
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Observation 0d3bb498-1eb5-40eb-b6ac-ce14c6b1f1fb · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography In: International Conference on Selected Areas in Cryptography
Reference 4
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Observation 044a144a-1398-40db-a464-fbc5c93d9168 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Microprocessors and Microsystems51, 366–385 (2017)
Reference 5
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Observation 454163e4-213a-41ea-8507-b961166949c4 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Cryptology ePrint Archive (2020)
Reference 6
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Observation efd4ddc3-319a-4f4a-a674-45edee528e2c · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Physical Review A54(2), 1034 (1996)
Reference 7
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Observation ffad0d69-2f83-4da1-b5ad-cecff6c39ebd · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Ibm Journal of Research and Development17, 525–532 (1973),https://api.semanticscholar.org/ CorpusID:14641793
Reference 8
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Observation a9c27c2f-c5ba-4ef7-a1d5-03d4be48e0a2 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Cryptology ePrint Archive, Paper 2025/1832 (2025), https://eprint.iacr.org/2025/1832
Reference 9
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Observation c96315f4-2aa7-4513-b272-e1bbb60d4aed · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Unresolved cited work
Reference 10
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Observation f3d87be2-e5cc-47da-acc6-776a1f31f3b0 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Unresolved cited work
Reference 11
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Observation 3d5f99ca-0f78-43ae-8f88-eb98d17cf01e · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Physical Review A86(5) (Nov 2012).https://doi.org/10.1103/physreva.86.052329,http:// dx.doi.org/10.1103/PhysRevA.86.052329
Reference 12
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Observation efc89deb-35a7-4858-bf5d-9119c8053612 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Physical Review A—Atomic, Molecular, and Optical Physics 71(2), 022316 (2005)
Reference 13
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Observation 5bceb7a5-44de-4187-9ba9-9604de441fb3 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Nature 584(7821), 368–372 (2020)
Reference 14
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Observation 57cee745-014e-420c-9a3f-84c29aec6466 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Electronics Let- ters38(22), 1343–1344 (2002)
Reference 15
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Observation 54fa1ec7-4841-4840-99dd-cd733436d05b · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Transactions of the American Mathematical Society142, 291–314 (1969)
Reference 16
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Observation 9f4c690f-8e62-4efa-92b4-957c27649a1f · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Physical Review A100(3), 032328 (2019)
Reference 17
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Observation 9df3b463-c865-457a-9d22-47c6e62b62ec · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Unresolved cited work
Reference 18
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Observation 662213c3-b9a4-4a50-8131-bfe5f8b61507 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography In: Proceedings of the SC ’23 Workshops of The International Confer- ence on High Performance Computing, Network, Storage, and Analysis
Reference 19
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Observation c63f3872-eaf2-4e7b-9fec-9aa20dfa0b80 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography In: 2019 32nd International Conference on VLSI Design and 2019 18th International Conference on Embedded Systems (VLSID)
Reference 20
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Observation 707ce916-9683-4957-bdff-6c0b741a10d9 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography IEEE Transactions on Quantum Engineering 1, 1–13 (2020)
Reference 21
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Observation b069fc4e-2295-4b61-8ef7-1b032d1fbd0a · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Quantum Information and Computation6(07 2004).https: //doi.org/10.26421/QIC6.4-5-4
Reference 22
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Observation 39950cfc-4d63-4f30-a03c-fb08c104bc04 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Unresolved cited work
Reference 23
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Observation 4ffcd35f-7bbd-4b3a-9acc-86182cc135bb · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Unresolved cited work
Reference 24
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Observation b1fb1e29-12b6-442f-872d-39694dca50c4 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Unresolved cited work
Reference 25
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Observation 6a4eb58c-ad86-45a4-9b2f-0269f0736ea7 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Nature566(7745), 513–517 (2019)
Reference 26
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Observation 929335aa-5d69-4715-b94f-794384647c6c · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Unresolved cited work
Reference 27
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Observation ce045c7c-fd53-4fd4-abeb-e4f58314e3cb · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography In: Journal of Physics: Conference Series
Reference 28
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Observation f00f32b7-7586-4f77-99b0-0cddea270af3 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Electronics10(6), 703 (2021)
Reference 29
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Observation f8ecb087-afb6-4554-a6c5-20e746063e03 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Unresolved cited work
Reference 30
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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation fdf0b789-24a8-454b-a804-3296fd117cee · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Quantum2, 74 (Jun 2018).https://doi.org/10.22331/q-2018-06-18-74,https://doi.org/ 10.22331/q-2018-06-18-74
Reference 31
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Observation e910800d-e7d5-4058-a53f-d9bea4504b0a · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Approximate encoded permutations and piecewise quantum adders
Reference 32
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Observation 6affd49c-81c5-48b5-85b5-2033f3b2f040 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Asymptotically Efficient Quantum Karatsuba Multiplication
Reference 33
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Observation 49710ddb-808a-46f3-aa47-d9ed7cedc5f7 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Windowed quantum arithmetic
Reference 34
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Observation afed5a5d-eeec-4b36-9ca5-490520899458 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography A Classical-Quantum Adder with Constant Workspace and Linear Gates
Reference 35
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Observation 4de29045-e6fd-4c42-9f5d-f794acf6a5e7 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography How to factor 2048 bit RSA integers with less than a million noisy qubits
Reference 36
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Observation 74a4c409-0a97-4bea-96b1-df1dbbf23d1e · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Unresolved cited work
Reference 37
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Observation 715b0dc7-4d97-4edb-b420-d9757e1d3fa9 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Quantum5, 433 (2021)
Reference 38
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Observation 9fae512b-1d94-4030-91e8-7ede8bdae4a1 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Unresolved cited work
Reference 39
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Observation 69f128a6-43fe-4a91-af7f-a458a00573ef · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Unresolved cited work
Reference 40
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Observation b2fe9606-7932-4a20-af08-ea54d0563170 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Unresolved cited work
Reference 41
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Observation 8165e5a4-1704-4b2a-8d00-302185d18f1f · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography In: Pro- ceedings of the twenty-eighth annual ACM symposium on Theory of computing
Reference 42
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Observation 11edfa84-1f00-410f-8293-1926b90ce713 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography arXiv preprint arXiv:2510.23212 (2025)
Reference 43
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Observation 5e8dfcd9-a2e2-4840-a798-368c0f1dcb5a · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography In: International conference on post- quantum cryptography
Reference 44
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Observation 6cf05f06-1f44-4234-b974-8d2bc923c258 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Factoring using 2n+2 qubits with Toffoli based modular multiplication
Reference 45
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Observation 548ebc02-eff0-41fb-a7af-d24416f4b7a9 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Optimizing Quantum Circuits for Arithmetic
Reference 46
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Observation abd0c513-5d0e-43de-a2f5-413c6b56e920 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Expressing and Analyzing Quantum Algorithms with Qualtran
Reference 47
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Observation e9cedcf2-585d-47a6-9f47-7faa1c6352b1 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Computer Systems Library, Standard University, Tech
Reference 48
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Observation 35948c63-8e9d-4f76-98fb-cabf5900ecb0 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography In: Proceedings of the 40th ACM/SIGAPP Symposium on Applied Computing
Reference 49
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Observation 9a332fe7-6613-4d3f-81f3-ad4ed096eb81 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Unresolved cited work
Reference 50
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Observation b6162a86-c7ee-4e7b-983c-a5ca58acb7ad · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Sensors23(6), 3156 (2023)
Reference 51
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Observation 260d6408-ea03-4a4a-b40a-538f59e3a58f · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography IACR Transactions on Cryptographic Hardware and Embedded Systems2025(2), 781–804 (2025)
Reference 52
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Observation 9d064517-7a9b-454d-a5af-b59d1004f9f1 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography The Journal of Supercomputing72, 1477–1493 (2016)
Reference 53
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Observation 7863b31e-9fa5-408c-9718-1d4b2d0ce1bc · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography IEEE transactions on computers44(8), 1064–1065 (2002) 24 Wang et al
Reference 54
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Observation 0676af6a-0143-4227-a43b-cc57baaf7e70 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography In: Doklady Akademii Nauk
Reference 55
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Observation f7066cd3-0fd7-4f37-b18c-66b667fe74b3 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Quantum Information Processing14, 2373–2386 (2015)
Reference 56
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Observation 4aad0e7e-f848-4843-af3e-4d711b734f84 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Rise of conditionally clean ancillae for efficient quantum circuit constructions
Reference 57
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Observation 91fbbe45-a498-4979-8703-0e67053bb21d · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Cryptology ePrint Archive (2025)
Reference 58
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Observation cf0a1a2b-7772-4aa5-8e89-66dd13b2fe23 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Quantum Information Processing 23(10), 330 (2024)
Reference 59
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Observation a86c88b3-9140-4e83-9183-a7a370d789cc · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Tight Bounds on the Spooky Pebble Game: Recycling Qubits with Measurements
Reference 60
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Observation db8e65b2-a939-43db-9f69-7c646577393a · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Nature pp
Reference 61
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Observation 0f81fcea-cf7f-45e3-bb42-cae1007b8c1d · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Unresolved cited work
Reference 62
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Observation e5e40fdf-9556-4104-9ed7-8b306131fd25 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Applied Sciences11(9), 3752 (2021)
Reference 63
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Observation 6c9ee38b-e327-4b8b-9b42-a67e284faac7 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography ACM Transactions on Quantum Computing5(4) (Oct 2024).https://doi.org/10
Reference 64
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Observation cecf57b0-60db-4296-ae64-dfd0519a5d64 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography PRX Quantum6, 030317 (Jul 2025).https://doi.org/10.1103/ch5r-cnfq,https://link.aps.org/doi/10
Reference 65
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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 39ff7c0a-7465-498f-8dd2-1b86ce7ac2df · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Nature Physics16(5), 509–513 (2020)
Reference 66
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Observation 09e2db49-2fbe-4ac0-afbe-df71a9b465ff · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Science China Physics, Mechanics & Astronomy 65(6), 260311 (2022)
Reference 67
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Observation 796aad8e-9a66-4029-a076-a38c307037d3 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography ACM Jour- nal on Emerging Technologies in Computing Systems (JETC)11(1), 1–20 (2014)
Reference 68
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Observation 40b58ddb-0708-4470-b38e-761a994bb535 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Quantum 3, 205 (Dec 2019).https://doi.org/10.22331/q-2019-12-02-205,http://dx
Reference 69
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Observation c4b0e200-18a8-42b5-b71e-8def17afb664 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography In: 2025 62nd ACM/IEEE Design Automation Conference (DAC)
Reference 70
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Observation 27029d33-50b4-4d69-803a-45c230d8eed2 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography In: 2025 62nd ACM/IEEE Design Automation Conference (DAC)
Reference 71
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Observation 85bd6927-52f5-4639-9898-7184f91cee93 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Constant-Optimized Quantum Circuits for Modular Multiplication and Exponentiation
Reference 72
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Observation 9b2e38ee-ab6d-41be-8ee3-f936282c2573 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography IEEE Transactions on Computers68(5), 729–739 (2018)
Reference 73
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Observation 1f18d2c8-66f0-49da-8615-7cd8db0e8a24 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems (2023)
Reference 74
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Observation f33ec586-c5e2-4418-8206-b7962906a5ab · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Quantum circuit for multi-qubit Toffoli gate with optimal resource
Reference 75
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Observation 4e088724-6b4b-49b7-bdac-468a22a60e50 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Nature536(7617), 441–445 (2016)
Reference 76
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Observation 2c03854b-44c3-4c51-b12e-2cac2a807f37 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Physical Review A107(4), 042621 (2023)
Reference 77
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Observation a5be1ef4-0c01-4c05-a2c7-0b2ddddda2a3 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Journal of Systems and Software p
Reference 78
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Observation 0d3862b3-19a1-4a32-8aa1-66625be5f277 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Improved reversible and quantum circuits for Karatsuba-based integer multiplication
Reference 79
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Observation f8742469-3a0b-42e7-8932-d6bac7c7654f · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography IEEE Access11, 21848–21862 (2023)
Reference 80
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Observation a24e3b2d-c062-47cd-a43d-b38685c4b5a1 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Nature482(7385), 382–385 (2012)
Reference 81
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Observation 51161d57-5b14-4449-8a99-7daad3578a8f · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography In: International Conference on Reversible Computation
Reference 82
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Observation cc23a8e3-e091-4a42-bb1e-8aba6d192af5 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Communications of the ACM21(2), 120–126 (1978)
Reference 83
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Observation 66034ad7-615d-4d81-897b-99edd0104b2c · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography In: International Conference on the Theory and Application of Cryptology and Information Security
Reference 84
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Observation 258436e5-4820-42e7-9997-25034e38cc85 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography US Patent 2,96630(1957)
Reference 85
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Observation 520358ff-2b6a-4e09-a09e-7f57b75185f9 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography International Journal of Theoretical Physics60, 1–13 (08 2021).https://doi.org/10.1007/ s10773-021-04864-3
Reference 86
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Observation 96d69069-23d9-41ce-989c-522efa3163de · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Unresolved cited work
Reference 87
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Observation 2c956754-6645-4a64-9276-e88958480ada · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Unresolved cited work
Reference 88
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Observation e128a226-38dd-4a3c-9050-8200240aaa47 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Nature645(8081), 620–625 (Jul 2025).https://doi.org/10.1038/s41586-025-09367-3,http:// dx.doi.org/10.1038/s41586-025-09367-3
Reference 89
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Observation a7ed76fd-22d0-47c3-a195-1061e3b3e67d · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Unresolved cited work
Reference 90
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Observation fe458053-28db-4c7f-9d8e-5c5923dfdf41 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Physical Review A—Atomic, Molecular, and Optical Physics78(1), 012337 (2008)
Reference 91
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Observation d76eceb2-c363-4db4-aa87-69d62472edc6 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Review of scientific instruments21(8), 687–693 (1950)
Reference 92
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Observation a808036e-d43f-4ac6-95a5-93b3b117120a · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Proceedings of 35th Annual Symposium on Foundations of Computer Science (10 1996).https://doi.org/10.1109/SFCS.1994.365700
Reference 93
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Observation 0e26bf2c-b800-4ab5-b931-90807fca5348 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Electronic Computers, IRE Trans- actions onEC-9, 226 – 231 (07 1960).https://doi.org/10.1109/TEC.1960
Reference 94
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Observation ccbfcee7-cc45-46d9-a2dc-18759a99ce1b · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Unresolved cited work
Reference 95
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Observation a13ae08a-8cea-4413-8602-c55c71d27352 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Quantum Info
Reference 96
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Observation b9ad4bbb-2cd3-47c8-b05b-d44fd46d7f96 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Quantum Information and Computation8, 636–649 (07 2008).https://doi.org/ 10.26421/QIC8.6-7-5
Reference 97
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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 9e58b023-c928-4c09-af33-583320fee273 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography Quantum Information and Computation10(10 2009).https://doi
Reference 98
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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 351d1dc7-3323-46b9-9d61-992be74b68a7 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography In: Transactions on Computational Science XXVII, pp
Reference 99
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Observation 3219445c-a767-4975-a676-5d6b78cd6e45 · outbound
Quantum Arithmetic Circuits in Public-Key Cryptography IEEE transactions on emerging topics in computing9(2), 1045–1056 (2019)
Reference 100
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No inbound Pith citation observations are available.