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20212026
most citedA quantum central path algorithm for linear optimization

1 citations · 2 across the 11 of their papers we have counts for

collaborators

12 papers

quant-ph2026

An analysis of iterative refinement for quantum linear system solvers

Adrian Harkness, Mohammadhossein Mohammadisiahroudi, Brandon Augustino +2

We present and analyze an iterative refinement (IR) framework for improving the precision dependence of algorithms that combine a quantum linear system algorithm (QLSA) with quantu…

quant-ph2026

FTCircuitBench: A Benchmark Suite for Fault-Tolerant Quantum Compilation and Architecture

Adrian Harkness, Shuwen Kan, Chenxu Liu +10

Realizing large-scale quantum advantage is expected to require quantum error correction (QEC), making the compilation and optimization of logical operations a critical area of rese…

quant-ph2025

Optimal Scaling Quantum Interior Point Method for Linear Optimization

Mohammadhossein Mohammadisiahroudi, Zeguan Wu, Pouya Sampourmahani +2

The emergence of huge-scale, data-intensive linear optimization (LO) problems in applications such as machine learning has driven the need for more computationally efficient interi…

quant-ph2025

Characterizing QUBO Reformulations of the Max-k-Cut Problem for Quantum Computing

Adrian Harkness, Hamidreza Validi, Ramin Fakhimi +4

Quantum computing offers significant potential for solving NP-hard combinatorial (optimization) problems that are beyond the reach of classical computers. One way to tap into this…

quant-ph2025

Towards identifying possible fault-tolerant advantage of quantum linear system algorithms in terms of space, time and energy

Yue Tu, Mark Dubynskyi, Mohammadhossein Mohammadisiahroudi +5

Quantum computing, a prominent non-Von Neumann paradigm beyond Moore's law, can offer superpolynomial speedups for certain problems. Yet its advantages in efficiency for tasks like…

math.OC2024

A quantum dual logarithmic barrier method for linear optimization

Zeguan Wu, Pouya Sampourmahani, Mohammadhossein Mohammadisiahroudi +1

Quantum computing has the potential to speed up some optimization methods. One can use quantum computers to solve linear systems via Quantum Linear System Algorithms (QLSAs). QLSAs…

math.OC2024

A preconditioned inexact infeasible quantum interior point method for linear optimization

Zeguan Wu, Xiu Yang, Tamás Terlaky

Quantum Interior Point Methods (QIPMs) have been attracting significant interests recently due to their potential of solving optimization problems substantially faster than state-o…

quant-ph2024

An Efficient Quantum Algorithm for Linear System Problem in Tensor Format

Zeguan Wu, Sidhant Misra, Tamás Terlaky +2

Solving linear systems is at the foundation of many algorithms. Recently, quantum linear system algorithms (QLSAs) have attracted great attention since they converge to a solution…

math.OC2023

Quantum Computing Inspired Iterative Refinement for Semidefinite Optimization

Mohammadhossein Mohammadisiahroudi, Brandon Augustino, Pouya Sampourmahani +1

Iterative Refinement (IR) is a classical computing technique for obtaining highly precise solutions to linear systems of equations, as well as linear optimization problems. In this…

quant-ph2023★ 1 cited

A quantum central path algorithm for linear optimization

Brandon Augustino, Jiaqi Leng, Giacomo Nannicini +3

We propose a novel quantum algorithm for solving linear optimization problems by quantum-mechanical simulation of the central path. While interior point methods follow the central…

math.OC2023

Improvements to Quantum Interior Point Method for Linear Optimization

Mohammadhossein Mohammadisiahroudi, Zeguan Wu, Brandon Augustino +2

Quantum linear system algorithms (QLSA) have the potential to speed up Interior Point Methods (IPM). However, a major challenge is that QLSAs are inexact and sensitive to the condi…

quant-ph2021★ 1 cited

Characterization of QUBO reformulations for the maximum -colorable subgraph problem

Rodolfo Quintero, David Bernal, Tamás Terlaky +1

Quantum devices can be used to solve constrained combinatorial optimization (COPT) problems thanks to the use of penalization methods to embed the COPT problem's constraints in its…