A practical heuristic for finding graph minors
arXiv:1406.2741
Abstract
We present a heuristic algorithm for finding a graph as a minor of a graph that is practical for sparse and with hundreds of vertices. We also explain the practical importance of finding graph minors in mapping quadratic pseudo-boolean optimization problems onto an adiabatic quantum annealer.
16 pages, 7 figures
Cited by in corpus (75)
- A case study in programming a quantum annealer for hard operational planning problems
- Quantum Computing based Hybrid Solution Strategies for Large-scale Discrete-Continuous Optimization Problems
- A Hybrid Solution Method for the Capacitated Vehicle Routing Problem Using a Quantum Annealer
- Support vector machines on the D-Wave quantum annealer
- Application of Quantum Annealing to Nurse Scheduling Problem
- Quantum Annealing Applied to De-Conflicting Optimal Trajectories for Air Traffic Management
- Traffic Signal Optimization on a Square Lattice with Quantum Annealing
- A NASA Perspective on Quantum Computing: Opportunities and Challenges
- Improving solutions by embedding larger subproblems in a D-Wave quantum annealer
- Quantum-assisted Helmholtz machines: A quantum-classical deep learning framework for industrial datasets in near-term devices
- Bayesian Network Structure Learning Using Quantum Annealing
- Prime factorization using quantum annealing and computational algebraic geometry
- A Quantum Annealing Approach for Fault Detection and Diagnosis of Graph-Based Systems
- Flight Gate Assignment with a Quantum Annealer
- Experimental quantum annealing: case study involving the graph isomorphism problem
- Parallel Quantum Annealing
- 3-Regular 3-XORSAT Planted Solutions Benchmark of Classical and Quantum Heuristic Optimizers
- Stabilisers as a design tool for new forms of Lechner-Hauke-Zoller Annealer
- Enhancing Quantum Annealing Performance for the Molecular Similarity Problem
- Quantum processor-inspired machine learning in the biomedical sciences
- Image Acquisition Planning for Earth Observation Satellites with a Quantum Annealer
- Model Predictive Control for Finite Input Systems using the D-Wave Quantum Annealer
- Algorithm engineering for a quantum annealing platform
- Quantum Algorithms for Solving Ordinary Differential Equations via Classical Integration Methods
- Towards Quantum Belief Propagation for LDPC Decoding in Wireless Networks
- Charged particle tracking with quantum annealing-inspired optimization
- Quantum Annealing for Large MIMO Downlink Vector Perturbation Precoding
- An Application of Quantum Annealing Computing to Seismic Inversion
- Sampling on NISQ Devices: "Who's the Fairest One of All?"
- Simulated Quantum Annealing with Two All-to-All Connectivity Schemes
- Evaluating Ising Processing Units with Integer Programming
- A Performance Estimator for Quantum Annealers: Gauge selection and Parameter Setting
- Quantum adiabatic machine learning with zooming
- Larger Sparse Quadratic Assignment Problem Optimization Using Quantum Annealing and a Bit-Flip Heuristic Algorithm
- Equation Planting: A Tool for Benchmarking Ising Machines
- Quantum Annealing Algorithms for Boolean Tensor Networks
- Guiding Principle for Minor-Embedding in Simulated-Annealing-Based Ising Machines
- Heterogeneous Quantum Computing for Satellite Constellation Optimization: Solving the Weighted K-Clique Problem
- Homology Computation of Large Point Clouds using Quantum Annealing
- Noise Dynamics of Quantum Annealers: Estimating the Effective Noise Using Idle Qubits
- Fast clique minor generation in Chimera qubit connectivity graphs
- Improving Performance in Combinatorial Optimization Problems with Inequality Constraints: An Evaluation of the Unbalanced Penalization Method on D-Wave Advantage
- Solving SAT and MaxSAT with a Quantum Annealer: Foundations, Encodings, and Preliminary Results
- Initial State Encoding via Reverse Quantum Annealing and h-gain Features
- Phase transition of Frustrated Ising model via D-wave Quantum Annealing Machine
- Defence against adversarial attacks using classical and quantum-enhanced Boltzmann machines
- GPU Based Parallel Ising Computing for Combinatorial Optimization Problems in VLSI Physical Design
- 4-clique Network Minor Embedding for Quantum Annealers
- Hybrid quantum-classical computation for automatic guided vehicles scheduling
- Track clustering with a quantum annealer for primary vertex reconstruction at hadron colliders
- Computing Wasserstein Distance for Persistence Diagrams on a Quantum Computer
- Accelerating equilibrium spin-glass simulations using quantum annealers via generative deep learning
- Breaking RSA Security With A Low Noise D-Wave 2000Q Quantum Annealer: Computational Times, Limitations And Prospects
- Quantum Computing for Discrete Optimization: A Highlight of Three Technologies
- PyQUBO: Python Library for Mapping Combinatorial Optimization Problems to QUBO Form
- Dynamical process of a bit-width reduced Ising model with simulated annealing
- Neural-powered unit disk graph embedding: qubits connectivity for some QUBO problems
- A Decomposition Method for the Hybrid Quantum-Classical Solution of the Number Partitioning Problem
- Dynamic Optimization on Quantum Hardware: Feasibility for a Process Industry Use Case
- Analyzing the Effectiveness of Quantum Annealing with Meta-Learning
- Quantum Annealing for Prime Factorization
- A Lattice-Reduction Aided Vector Perturbation Precoder Relying on Quantum Annealing
- Linearizing Binary Optimization Problems Using Variable Posets for Ising Machines
- Mapping constrained optimization problems to quantum annealing with application to fault diagnosis
- Quantum Annealing Formulation for Binary Neural Networks
- Optimization of Connection Patterns between Mobile Phones and Base Stations using Quantum Annealing
- Mapping NP-Hard Problems to Restricted Adiabatic Quantum Architectures
- Solving Large Break Minimization Problems in a Mirrored Double Round-robin Tournament Using Quantum Annealing
- Quantum Software Ecosystem Design
- Increasing the Hardness of Posiform Planting Using Random QUBOs for Programmable Quantum Annealer Benchmarking
- A CMOS-compatible Ising Machine with Bistable Nodes
- Leveraging Quantum Annealer to identify an Event-topology at High Energy Colliders
- Solving Inequality-Constrained Binary Optimization Problems on Quantum Annealer
- Minor embedding with Stuart-Landau oscillator networks
- Minor-embedding heuristics for large-scale annealing processors with sparse hardware graphs of up to 102,400 nodes