Hybrid quantum-classical framework for Betti number estimation with applications to topological data analysis
Fuente:
arXiv
Saved in:
| Main Authors: | Nghiem, Nhat A., Wei, Tzu-Chieh |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
New aspects of quantum topological data analysis: Betti number estimation, and testing and tracking of homology and cohomology classes
by: Nghiem, Nhat A.
Published: (2025)
by: Nghiem, Nhat A.
Published: (2025)
Hybrid Quantum-Classical Algorithm for Hamiltonian Simulation
by: Nghiem, Nhat A., et al.
Published: (2026)
by: Nghiem, Nhat A., et al.
Published: (2026)
Quantum Algorithm for Estimating Betti Numbers Using Cohomology Approach
by: Nghiem, Nhat A., et al.
Published: (2023)
by: Nghiem, Nhat A., et al.
Published: (2023)
Towards quantum topological data analysis: torsion detection
by: Nghiem, Nhat A.
Published: (2025)
by: Nghiem, Nhat A.
Published: (2025)
Estimation of Nonlinear Physical Quantities By Measuring Ancillas
by: Nghiem, Nhat A., et al.
Published: (2025)
by: Nghiem, Nhat A., et al.
Published: (2025)
Improved Quantum Algorithms for Eigenvalues Finding and Gradient Descent
by: Nghiem, Nhat A., et al.
Published: (2023)
by: Nghiem, Nhat A., et al.
Published: (2023)
Quantum Algorithm For Solving Nonlinear Algebraic Equations
by: Nghiem, Nhat A., et al.
Published: (2024)
by: Nghiem, Nhat A., et al.
Published: (2024)
Quantum Algorithm For Testing Convexity of Function
by: Nghiem, Nhat A., et al.
Published: (2024)
by: Nghiem, Nhat A., et al.
Published: (2024)
Alternative Method for Estimating Betti Numbers
by: Nghiem, Nhat A.
Published: (2024)
by: Nghiem, Nhat A.
Published: (2024)
Quantum topological data analysis algorithm for dynamical systems
by: Nghiem, Nhat A.
Published: (2025)
by: Nghiem, Nhat A.
Published: (2025)
Improved Quantum Power Method and Numerical Integration Using Quantum Singular Value Transformation
by: Nghiem, Nhat A., et al.
Published: (2024)
by: Nghiem, Nhat A., et al.
Published: (2024)
Toward speedup without quantum coherent access
by: Nghiem, Nhat A.
Published: (2026)
by: Nghiem, Nhat A.
Published: (2026)
Quantum Algorithm for Estimating Intrinsic Geometry
by: Nghiem, Nhat A., et al.
Published: (2025)
by: Nghiem, Nhat A., et al.
Published: (2025)
Comparing quantum and classical Monte Carlo algorithms for estimating Betti numbers of clique complexes
by: Akhalwaya, Ismail Yunus, et al.
Published: (2024)
by: Akhalwaya, Ismail Yunus, et al.
Published: (2024)
Quantum Algorithm for Estimating Ollivier-Ricci Curvature
by: Nghiem, Nhat A., et al.
Published: (2025)
by: Nghiem, Nhat A., et al.
Published: (2025)
Quantum Algorithms Without Coherent Quantum Access
by: Nghiem, Nhat A.
Published: (2025)
by: Nghiem, Nhat A.
Published: (2025)
Quantum Speedup in Dissecting Roots and Solving Nonlinear Algebraic Equations
by: Nghiem, Nhat A.
Published: (2025)
by: Nghiem, Nhat A.
Published: (2025)
Refined Quantum Algorithms for Principal Component Analysis and Solving Linear System
by: Nghiem, Nhat A.
Published: (2025)
by: Nghiem, Nhat A.
Published: (2025)
Quantum Advantage in Testing (Local) Convexity and Monotonicity of Function
by: Nghiem, Nhat A.
Published: (2025)
by: Nghiem, Nhat A.
Published: (2025)
New Quantum Algorithm For Solving Linear System of Equations
by: Nghiem, Nhat A.
Published: (2025)
by: Nghiem, Nhat A.
Published: (2025)
New Quantum Algorithm for Principal Component Analysis
by: Nghiem, Nhat A.
Published: (2025)
by: Nghiem, Nhat A.
Published: (2025)
(Nearly) Optimal Time-dependent Hamiltonian Simulation
by: Nghiem, Nhat A.
Published: (2024)
by: Nghiem, Nhat A.
Published: (2024)
Quantum Algorithm for Computing Distances Between Subspaces
by: Nghiem, Nhat A.
Published: (2023)
by: Nghiem, Nhat A.
Published: (2023)
A Framework For Estimating Amplitudes of Quantum State With Single-Qubit Measurement
by: Nghiem, Nhat A.
Published: (2024)
by: Nghiem, Nhat A.
Published: (2024)
Simulating Time-dependent Hamiltonian Based On High Order Runge-Kutta and Forward Euler Method
by: Nghiem, Nhat A.
Published: (2024)
by: Nghiem, Nhat A.
Published: (2024)
Improved Time-independent Hamiltonian Simulation
by: Nghiem, Nhat A.
Published: (2024)
by: Nghiem, Nhat A.
Published: (2024)
Simple Quantum Gradient Descent Without Coherent Oracle Access
by: Nghiem, Nhat A.
Published: (2024)
by: Nghiem, Nhat A.
Published: (2024)
Analyzing and improving a classical Betti number estimation algorithm
by: Sorci, Julien
Published: (2025)
by: Sorci, Julien
Published: (2025)
Efficient separate quantification of state preparation errors and measurement errors on quantum computers and their mitigation
by: Yu, Hongye, et al.
Published: (2023)
by: Yu, Hongye, et al.
Published: (2023)
Fractatomic Physics: An Invitation with Atomic Stability and Rydberg States in Fractal Spaces
by: Nghiem, Nhat A., et al.
Published: (2025)
by: Nghiem, Nhat A., et al.
Published: (2025)
Quantum Algorithms for Computing Maximal Quantum $f$-divergence and Kubo-Ando means
by: Dinh, Trung Hoa, et al.
Published: (2025)
by: Dinh, Trung Hoa, et al.
Published: (2025)
Universal energy-space localization and stable quantum phases against time-dependent perturbations
by: Yu, Hongye, et al.
Published: (2025)
by: Yu, Hongye, et al.
Published: (2025)
Quantum Kaczmarz Algorithm for Solving Linear Algebraic Equations
by: Nghiem, Nhat A., et al.
Published: (2026)
by: Nghiem, Nhat A., et al.
Published: (2026)
A Fourier analysis framework for approximate classical simulations of quantum circuits
by: Cirstoiu, Cristina
Published: (2024)
by: Cirstoiu, Cristina
Published: (2024)
Global quantum phase estimation via hybrid quantum--classical learning
by: Yang, Qingchuan, et al.
Published: (2026)
by: Yang, Qingchuan, et al.
Published: (2026)
Hybrid classical-quantum communication networks
by: Lukens, Joseph M., et al.
Published: (2025)
by: Lukens, Joseph M., et al.
Published: (2025)
Higher-order topological phases protected by noninvertible and subsystem symmetries
by: Mana, Aswin Parayil, et al.
Published: (2025)
by: Mana, Aswin Parayil, et al.
Published: (2025)
Hybrid quantum-classical dynamics with stationary thermal states
by: Budini, Adrián A.
Published: (2026)
by: Budini, Adrián A.
Published: (2026)
Quantum gate broadcasting on graphs
by: Sukeno, Hiroki, et al.
Published: (2025)
by: Sukeno, Hiroki, et al.
Published: (2025)
The robustness condition for general disordered discrete time crystals, and subspace-thermal DTCs from phase transitions between different n-tuple DTCs
by: Yu, Hongye, et al.
Published: (2024)
by: Yu, Hongye, et al.
Published: (2024)
Similar Items
-
New aspects of quantum topological data analysis: Betti number estimation, and testing and tracking of homology and cohomology classes
by: Nghiem, Nhat A.
Published: (2025) -
Hybrid Quantum-Classical Algorithm for Hamiltonian Simulation
by: Nghiem, Nhat A., et al.
Published: (2026) -
Quantum Algorithm for Estimating Betti Numbers Using Cohomology Approach
by: Nghiem, Nhat A., et al.
Published: (2023) -
Towards quantum topological data analysis: torsion detection
by: Nghiem, Nhat A.
Published: (2025) -
Estimation of Nonlinear Physical Quantities By Measuring Ancillas
by: Nghiem, Nhat A., et al.
Published: (2025)