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Prime factorization using quantum annealing and computational algebraic geometry

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/andp.201300120openalex-snapshot
Resource efficient gadgets for compiling adiabatic quantum optimization problems
inferredcites →https://doi.org/10.1007/978-1-4757-6911-1openalex-snapshot
Using Algebraic Geometry
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Minor-embedding in adiabatic quantum computation: I. The parameter setting problem
inferredcites →https://doi.org/10.1007/s11128-015-1150-6openalex-snapshot
Fast clique minor generation in Chimera qubit connectivity graphs
inferredcites →https://doi.org/10.1016/j.dam.2016.01.001openalex-snapshot
Quadratization of symmetric pseudo-Boolean functions
inferredcites →https://doi.org/10.1016/s0022-4049(99)00005-5openalex-snapshot
A new efficient algorithm for computing Gröbner bases (F4)
inferredcites →https://doi.org/10.1038/nature10012openalex-snapshot
Quantum annealing with manufactured spins
inferredcites →https://doi.org/10.1038/nature12290openalex-snapshot
Oversimplifying quantum factoring
inferredcites →https://doi.org/10.1038/ncomms3067openalex-snapshot
Experimental signature of programmable quantum annealing
inferredcites →https://doi.org/10.1038/nphoton.2012.259openalex-snapshot
Experimental realization of Shor's quantum factoring algorithm using qubit recycling
inferredcites →https://doi.org/10.1038/nphys2900openalex-snapshot
Evidence for quantum annealing with more than one hundred qubits
inferredcites →https://doi.org/10.1090/dimacs/060/08openalex-snapshot
Minimizing polynomial functions
inferredcites →https://doi.org/10.1090/ulect/008openalex-snapshot
Gröbner Bases and Convex Polytopes
inferredcites →https://doi.org/10.1103/physreva.88.022322openalex-snapshot
Contextuality in measurement-based quantum computation
inferredcites →https://doi.org/10.1103/physreve.58.5355openalex-snapshot
Quantum annealing in the transverse Ising model
inferredcites →https://doi.org/10.1103/physrevlett.108.130501openalex-snapshot
Quantum Factorization of 143 on a Dipolar-Coupling Nuclear Magnetic Resonance System
inferredcites →https://doi.org/10.1103/revmodphys.80.1061openalex-snapshot
Colloquium : Quantum annealing and analog quantum computation
inferredcites →https://doi.org/10.1126/science.1057726openalex-snapshot
A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Problem
inferredcites →https://doi.org/10.1126/science.aad9480openalex-snapshot
Realization of a scalable Shor algorithm
inferredcites →https://doi.org/10.1137/s0097539795293172openalex-snapshot
Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
inferredcites →https://doi.org/10.1145/2744447.2744459openalex-snapshot
Guest Column
inferredcites →https://doi.org/10.1145/780506.780516openalex-snapshot
A new efficient algorithm for computing Gröbner bases without reduction to zero ( F 5 )
inferredcites →https://doi.org/10.26421/qic10.1-2-9openalex-snapshot
The role of symmetries in adiabatic quantum algorithms
inferredcites →https://doi.org/10.3389/fphy.2014.00056openalex-snapshot
Discrete optimization using quantum annealing on sparse Ising models
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Effective Resistance and Capacitance in Simplicial Complexes and a Quantum Algorithm
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A practical heuristic for finding graph minors
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Construction of non-convex polynomial loss functions for training a binary classifier with quantum annealing
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Fast clique minor generation in Chimera qubit connectivity graphs
inferredcites →https://doi.org/10.48550/arxiv.1508.04816openalex-snapshot
Reducing multi-qubit interactions in adiabatic quantum computation without adding auxiliary qubits. Part 1: The "deduc-reduc" method and its application to quantum factorization of numbers
inferredcites →https://doi.org/10.48550/arxiv.1512.09328openalex-snapshot
Homology Computation of Large Point Clouds using Quantum Annealing

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Development of Hamiltonian for Structural Applications by Quantum Annealing Assuming Finite Element Method
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Variational Quantum Factoring
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Index Calculus Method for Solving Elliptic Curve Discrete Logarithm Problem Using Quantum Annealing
inferred← citeshttps://doi.org/10.1007/978-3-031-08760-8_8openalex-snapshot
Practical Solving of Discrete Logarithm Problem over Prime Fields Using Quantum Annealing
inferred← citeshttps://doi.org/10.1007/s11128-017-1587-xopenalex-snapshot
Simulations of Shor’s algorithm using matrix product states
inferred← citeshttps://doi.org/10.1007/s11128-019-2489-xopenalex-snapshot
Least-squares solutions to polynomial systems of equations with quantum annealing
inferred← citeshttps://doi.org/10.1007/s11128-020-02673-xopenalex-snapshot
Quantum algorithms for typical hard problems: a perspective of cryptanalysis
inferred← citeshttps://doi.org/10.1007/s11128-021-03053-9openalex-snapshot
A hybrid scheme for prime factorization and its experimental implementation using IBM quantum processor
inferred← citeshttps://doi.org/10.1007/s11227-023-05876-yopenalex-snapshot
Progress in the prime factorization of large numbers
inferred← citeshttps://doi.org/10.1007/s11433-018-9307-1openalex-snapshot
Factoring larger integers with fewer qubits via quantum annealing with optimized parameters
inferred← citeshttps://doi.org/10.1016/j.comcom.2021.05.019openalex-snapshot
Information security in the post quantum era for 5G and beyond networks: Threats to existing cryptography, and post-quantum cryptography
inferred← citeshttps://doi.org/10.1016/j.ic.2020.104609openalex-snapshot
Solving SAT (and MaxSAT) with a quantum annealer: Foundations, encodings, and preliminary results
inferred← citeshttps://doi.org/10.1016/j.jss.2023.111683openalex-snapshot
Dynamic analysis of quantum annealing programs
inferred← citeshttps://doi.org/10.1016/j.physleta.2019.126214openalex-snapshot
Quantum computing cryptography: Finding cryptographic Boolean functions with quantum annealing by a 2000 qubit D-wave quantum computer
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A data analytical approach for assessing the efficacy of Operational Technology active defenses against insider threats
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inferred← citeshttps://doi.org/10.1038/s41586-019-1557-9openalex-snapshot
Integer factorization using stochastic magnetic tunnel junctions
inferred← citeshttps://doi.org/10.1038/s41598-018-36058-zopenalex-snapshot
Quantum Annealing for Prime Factorization
inferred← citeshttps://doi.org/10.1038/s41598-020-62802-5openalex-snapshot
Prime factorization algorithm based on parameter optimization of Ising model
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Reinforcement Quantum Annealing: A Hybrid Quantum Learning Automata
inferred← citeshttps://doi.org/10.1038/s41598-022-11687-7openalex-snapshot
Factoring semi-primes with (quantum) SAT-solvers
inferred← citeshttps://doi.org/10.1038/s41598-022-17867-9openalex-snapshot
Factorization by quantum annealing using superconducting flux qubits implementing a multiplier Hamiltonian
inferred← citeshttps://doi.org/10.1038/s41598-022-20172-0openalex-snapshot
Superconducting quantum circuit of NOR in quantum annealing
inferred← citeshttps://doi.org/10.1038/s41598-023-36813-xopenalex-snapshot
HUBO and QUBO models for prime factorization
inferred← citeshttps://doi.org/10.1038/s41598-023-43054-5openalex-snapshot
A quantum-inspired probabilistic prime factorization based on virtually connected Boltzmann machine and probabilistic annealing
inferred← citeshttps://doi.org/10.1038/s41598-024-53708-7openalex-snapshot
Effective prime factorization via quantum annealing by modular locally-structured embedding
inferred← citeshttps://doi.org/10.1038/s41598-024-64588-2openalex-snapshot
Development of optimization method for truss structure by quantum annealing
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inferred← citeshttps://doi.org/10.1038/s41928-022-00774-2openalex-snapshot
Massively parallel probabilistic computing with sparse Ising machines
inferred← citeshttps://doi.org/10.1038/s42005-023-01191-3openalex-snapshot
Scalable set of reversible parity gates for integer factorization
inferred← citeshttps://doi.org/10.1063/5.0194993openalex-snapshot
Factorization of large tetra and penta prime numbers on IBM quantum processor
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Comparing three generations of D-Wave quantum annealers for minor embedded combinatorial optimization problems
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The Mathematics of Quantum-Enabled Applications on the D-Wave Quantum Computer
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Computational complexity of three-dimensional Ising spin glass: Lessons from D-wave annealer
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Ghost factors in Gauss-sum factorization with transmon qubits
inferred← citeshttps://doi.org/10.1103/physreva.104.l050403openalex-snapshot
Digitized adiabatic quantum factorization
inferred← citeshttps://doi.org/10.1103/physreva.105.062455openalex-snapshot
Hard-instance learning for quantum adiabatic prime factorization
inferred← citeshttps://doi.org/10.1103/physreva.106.052605openalex-snapshot
Basic elements for simulations of standard-model physics with quantum annealers: Multigrid and clock states
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Improving adiabatic quantum factorization via chopped random-basis optimization
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Mapping state transition susceptibility in quantum annealing
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Quantum Optimization with Arbitrary Connectivity Using Rydberg Atom Arrays
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How to Solve Combinatorial Optimization Problems Using Real Quantum Machines: A Recent Survey
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Spin Connection Topology and Multi-Bit Spin Interaction Coefficients of Ising Spin Model with Digital Logic Gates
inferred← citeshttps://doi.org/10.1109/fpl.2019.00019openalex-snapshot
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RSQC: Recursive Sparse QUBO Construction for Quantum Annealing Machines
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Prime Factorization Using Partially Constrained Multiple Quantum Annealing With Analytical and Pattern-Based Variable Reduction
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Algebraic attacks on block ciphers using quantum annealing
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Experimental Demonstrations of Native Implementation of Boolean Logic Hamiltonian in a Superconducting Quantum Annealer
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Quantum Artificial Intelligence for Natural Language Processing Applications
inferred← citeshttps://doi.org/10.1145/3370748.3406586openalex-snapshot
Resiliency analysis and improvement of variational quantum factoring in superconducting qubit
inferred← citeshttps://doi.org/10.11648/j.ijtam.20170306.14openalex-snapshot
New Pragmatic Algorithms to Improve Factoring of Large Numbers
inferred← citeshttps://doi.org/10.13016/m2xo4k-uzlzopenalex-snapshot
Reinforcement Quantum Annealing: A Quantum-Assisted Learning Automata Approach
inferred← citeshttps://doi.org/10.1364/oe.591485openalex-snapshot
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inferred← citeshttps://doi.org/10.1371/journal.pone.0304594openalex-snapshot
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inferred← citeshttps://doi.org/10.22201/fi.25940732e.2019.20n2.018openalex-snapshot
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inferred← citeshttps://doi.org/10.2478/tmmp-2024-0021openalex-snapshot
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inferred← citeshttps://doi.org/10.3389/fcomp.2024.1335369openalex-snapshot
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inferred← citeshttps://doi.org/10.3390/math11194222openalex-snapshot
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inferred← citeshttps://doi.org/10.35848/1347-4065/ac00fdopenalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.1901.04579openalex-snapshot
Experimental Evidence about "A factorisation algorithm in adiabatic quantum computation" by T. D. Kieu
inferred← citeshttps://doi.org/10.48550/arxiv.2007.13489openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.2012.11382openalex-snapshot
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