Implementation of Shor Algorithm: Factoring a 4096-Bit Integer Under Specific Constraints
Fuente:
arXiv
Saved in:
| Main Author: | Chen, Abel C. H. |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Integer Factorization: Another perspective
by: Bansimba, Gilda Rech, et al.
Published: (2025)
by: Bansimba, Gilda Rech, et al.
Published: (2025)
Semantics-Based Verification of an Implemented Shor Oracle for ECDLP in Qrisp
by: Zhang, Lei, et al.
Published: (2026)
by: Zhang, Lei, et al.
Published: (2026)
Implementation Challenges in Quantum Key Distribution
by: Chen, Abel C. H.
Published: (2026)
by: Chen, Abel C. H.
Published: (2026)
Advances in Factoring and Primality Testing: From Classical to Quantum Algorithms
by: Abudaqa, Anas A., et al.
Published: (2020)
by: Abudaqa, Anas A., et al.
Published: (2020)
Enhancing the Practical Reliability of Shor's Quantum Algorithm via Generalized Period Decomposition: Theory and Large-Scale Empirical Validation
by: Liao, Chih-Chen, et al.
Published: (2025)
by: Liao, Chih-Chen, et al.
Published: (2025)
Hybrid Schemes of NIST Post-Quantum Cryptography Standard Algorithms and Quantum Key Distribution for Key Exchange and Digital Signature
by: Chen, Abel C. H.
Published: (2025)
by: Chen, Abel C. H.
Published: (2025)
Practical Challenges in Executing Shor's Algorithm on Existing Quantum Platforms
by: Bagourd, Paul, et al.
Published: (2025)
by: Bagourd, Paul, et al.
Published: (2025)
Implementation and Analysis of Regev's Quantum Factorization Algorithm
by: Pawlitko, Przemysław, et al.
Published: (2025)
by: Pawlitko, Przemysław, et al.
Published: (2025)
Revisiting Shor's quantum algorithm for computing general discrete logarithms
by: Ekerå, Martin
Published: (2019)
by: Ekerå, Martin
Published: (2019)
NIST Post-Quantum Cryptography Standard Algorithms Based on Quantum Random Number Generators
by: Chen, Abel C. H.
Published: (2025)
by: Chen, Abel C. H.
Published: (2025)
Man-in-the-Middle Attacks Targeting Quantum Cryptography
by: Chen, Abel C. H.
Published: (2025)
by: Chen, Abel C. H.
Published: (2025)
Integer Factorization via Tensor Network Schnorr's Sieving
by: Tesoro, Marco, et al.
Published: (2024)
by: Tesoro, Marco, et al.
Published: (2024)
Module Lattice Security (Part III): Structured CVP Distance on the Log-Unit Lattice
by: Luo, Ming-Xing
Published: (2026)
by: Luo, Ming-Xing
Published: (2026)
A New Class of Algorithms for Finding Short Vectors in Lattices Lifted from Co-dimension $k$ Codes
by: Lin, Robert, et al.
Published: (2024)
by: Lin, Robert, et al.
Published: (2024)
Sample Complexity Bounds for Scalar Parameter Estimation Under Quantum Differential Privacy
by: Farokhi, Farhad
Published: (2025)
by: Farokhi, Farhad
Published: (2025)
On the Semantic Security of NTRU -- with a gentle introduction to cryptography
by: Peet-Pare, Liam
Published: (2025)
by: Peet-Pare, Liam
Published: (2025)
Public-key encryption from a trapdoor one-way embedding of $SL_2(\mathbb{N}$)
by: Hines, Robert
Published: (2024)
by: Hines, Robert
Published: (2024)
The Rabin cryptosystem over number fields
by: Cobbe, Alessandro, et al.
Published: (2025)
by: Cobbe, Alessandro, et al.
Published: (2025)
Decomposition of RSA modulus applying even order elliptic curves
by: Pomykała, Jacek, et al.
Published: (2025)
by: Pomykała, Jacek, et al.
Published: (2025)
A Note on the Walsh Spectrum of Power Residue S-Boxes
by: Steiner, Matthias Johann
Published: (2025)
by: Steiner, Matthias Johann
Published: (2025)
Analysis and Comparison of Known and Randomly Generated S-boxes for Block Ciphers
by: Kim, James
Published: (2025)
by: Kim, James
Published: (2025)
An efficient quantum algorithm for computing $S$-units and its applications
by: Biasse, Jean-Francois, et al.
Published: (2025)
by: Biasse, Jean-Francois, et al.
Published: (2025)
The supersingular endomorphism ring problem given one endomorphism
by: Merdy, Arthur Herlédan Le, et al.
Published: (2023)
by: Merdy, Arthur Herlédan Le, et al.
Published: (2023)
Matrix Kloosterman Sums, Random Matrix Statistics, and Cryptography
by: Yang, Tianshuo
Published: (2026)
by: Yang, Tianshuo
Published: (2026)
From Worst to Average Case to Incremental Search Bounds of the Strong Lucas Test
by: Einsele, Semira, et al.
Published: (2024)
by: Einsele, Semira, et al.
Published: (2024)
MNT Elliptic Curves with Non-Prime Order
by: Grześkowiak, Maciej
Published: (2024)
by: Grześkowiak, Maciej
Published: (2024)
Efficient $(3,3)$-isogenies on fast Kummer surfaces
by: Santos, Maria Corte-Real, et al.
Published: (2024)
by: Santos, Maria Corte-Real, et al.
Published: (2024)
Cryptanalysis of the Legendre Pseudorandom Function over Extension Fields
by: Pandey, Daksh
Published: (2026)
by: Pandey, Daksh
Published: (2026)
Autonomous Recognition of Erroneous Raw Key Bit Bias in Quantum Key Distribution
by: Young, Matt, et al.
Published: (2023)
by: Young, Matt, et al.
Published: (2023)
Experimental Secure Multiparty Computation from Quantum Oblivious Transfer with Bit Commitment
by: Zhang, Kai-Yi, et al.
Published: (2024)
by: Zhang, Kai-Yi, et al.
Published: (2024)
Deterministic Random Bit Generators Based on Ascon for Embedded Systems
by: Chen, Abel C. H.
Published: (2025)
by: Chen, Abel C. H.
Published: (2025)
The Differential and Boomerang Properties of a Class of Binomials
by: Mesnager, Sihem, et al.
Published: (2024)
by: Mesnager, Sihem, et al.
Published: (2024)
On Differential and Boomerang Properties of a Class of Binomials over Finite Fields of Odd Characteristic
by: Koo, Namhun, et al.
Published: (2025)
by: Koo, Namhun, et al.
Published: (2025)
Shallow Implementation of Quantum Fingerprinting with Application to Quantum Finite Automata
by: Ziiatdinov, Mansur, et al.
Published: (2024)
by: Ziiatdinov, Mansur, et al.
Published: (2024)
Measuring Quantum Information Leakage Under Detection Threat
by: Farokhi, Farhad, et al.
Published: (2024)
by: Farokhi, Farhad, et al.
Published: (2024)
Categorical Framework for Quantum-Resistant Zero-Trust AI Security
by: Cherkaoui, I., et al.
Published: (2025)
by: Cherkaoui, I., et al.
Published: (2025)
Quantum Bit Error Rate Analysis in BB84 Quantum Key Distribution: Measurement, Statistical Estimation, and Eavesdropping Detection
by: Rath, Jaydeep, et al.
Published: (2026)
by: Rath, Jaydeep, et al.
Published: (2026)
Partitioning $\mathbb{Z}_{sp}$ in finite fields and groups of trees and cycles
by: Verykios, Nikolaos, et al.
Published: (2025)
by: Verykios, Nikolaos, et al.
Published: (2025)
An in-depth study of the power function $x^{q+2}$ over the finite field $\mathbb{F}_{q^2}$: the differential, boomerang, and Walsh spectra, with an application to coding theory
by: Mesnager, Sihem, et al.
Published: (2024)
by: Mesnager, Sihem, et al.
Published: (2024)
Cybersecurity of Quantum Key Distribution Implementations
by: Alfassi, Ittay, et al.
Published: (2025)
by: Alfassi, Ittay, et al.
Published: (2025)
Similar Items
-
Integer Factorization: Another perspective
by: Bansimba, Gilda Rech, et al.
Published: (2025) -
Semantics-Based Verification of an Implemented Shor Oracle for ECDLP in Qrisp
by: Zhang, Lei, et al.
Published: (2026) -
Implementation Challenges in Quantum Key Distribution
by: Chen, Abel C. H.
Published: (2026) -
Advances in Factoring and Primality Testing: From Classical to Quantum Algorithms
by: Abudaqa, Anas A., et al.
Published: (2020) -
Enhancing the Practical Reliability of Shor's Quantum Algorithm via Generalized Period Decomposition: Theory and Large-Scale Empirical Validation
by: Liao, Chih-Chen, et al.
Published: (2025)