arXiv subjects

Duong The Do

Publications and source records attributed to Duong The Do.

4 recordsLinked to original sources

arXiv2026

QC-CCG: Quantum-Classical Algorithm for Two-stage Adaptive Robust Optimization

Quantum optimization provides a promising approach for solving large-scale combinatorial problems through quadratic unconstrained binary optimization (QUBO) formulations. However, integrating QUBO-based solvers into structured optimization frameworks while preserving solution guarantees remains a fundamental challenge. This paper develops a hybrid quantum-classical column-and-constraint generation (QCCG) framework for solving two-stage adaptive robust optimization problems with binary first-stage decisions and linear recourse under polyhedral uncertainty. The proposed approach reformulates the restricted master problem as a QUBO and solves it approximately using a quantum optimizer, while retaining a classical adversarial subproblem to compute worst-case recourse and certify solution quality. We construct a constraint-preserving QUBO encoding for inequality-constrained master problems using slack variables and penalty terms, enabling general mixed-integer structures to be mapped to quantum-compatible representations. To address inexactness arising from discretization, penalty modeling, and quantum optimization, we introduce a bound-adjustment mechanism that yields valid lower and upper bounds and provides a certified stopping criterion. We show that the proposed framework generalizes classical column-and-constraint generation and retains its convergence properties when the master problem is solved exactly. Numerical experiments on two-stage robust location-transportation problems demonstrate that the proposed hybrid approach achieves solution quality comparable to classical methods while reducing the computational burden associated with solving mixed-integer master problems, highlighting the potential of hybrid quantum-classical optimization for scalable decision-making under uncertainty.

cs.ET↗

arXiv2026

Robust KV Cache Management for LLM Serving under Output Token Length Uncertainty

KV cache memory is a primary bottleneck in modern LLM serving systems deployed on GPU clusters. A fundamental challenge is that the KV cache must be reserved upon request arrival, while the output token length remains unknown until generation completes. Under-reservation triggers preemption -- forcing termination and recomputation of requests and incurring significant overhead -- whereas over-reservation wastes memory and reduces throughput. This creates a central trade-off between memory efficiency and preemption risk. We present a robust KV cache management framework for LLM serving that jointly optimizes GPU parallelism configuration, KV cache reservation per request class, request routing across heterogeneous serving groups, and prefix caching for shared prompts. The framework incorporates latency SLO constraints and captures the interaction between memory allocation, throughput, and queueing delay. To address output token length uncertainty and workload distribution shift, we develop a Wasserstein distributionally robust optimization (DRO) formulation together with a scalable block coordinate descent algorithm for the resulting mixed-integer problem. Our analysis reveals a critical fractile structure that automatically adapts reservation quantiles to different preemption and memory cost regimes without manual tuning. Trace-driven evaluation on production LLM workloads, including BurstGPT, Azure, and ShareGPT traces, demonstrates up to 56\% lower cost than fixed-quantile reservation baselines while maintaining competitive P99 latency, goodput, and SLO violation rates across diverse operating regimes.

cs.NI↗

arXiv2026

Projected Variational Quantum Extragradient for Zero-Sum Games

We propose a projected variational quantum extragradient (VQEG) framework for computing approximate Nash equilibria in two-player zero-sum matrix games. Mixed strategies are parameterized as Born distributions of parameterized quantum circuits (PQCs), transforming the classical bilinear saddle point problem into a smooth but generally minmax optimization in circuit-parameter space. The expected payoff is expressed as the expectation of a diagonal observable, enabling gradient evaluation via the parameter shift rule and compatibility with shot based quantum hardware. To support arbitrary game sizes, we introduce a dominated embedding that maps (m,n) games to qubit-compatible power-of-two dimensions while preserving equilibrium structure. We then develop a projected extragradient method using stochastic gradient estimates derived from finite measurement shots, and establish variance bounds scaling as O(1/S) with respect to the number of measurement shots S, along with convergence to approximate first-order stationarity under standard assumptions. Since stationarity does not guarantee equilibrium optimality, we evaluate performance using the game-space Nash gap. Numerical results demonstrate high-precision solutions on structured instances up to 32x32, while highlighting challenges in unstructured settings.

eess.SY↗

arXiv2023

Quantum-based Distributed Algorithms for Edge Node Placement and Workload Allocation

Edge computing is a promising technology that offers a superior user experience and enables various innovative Internet of Things applications. In this paper, we present a mixed-integer linear programming (MILP) model for optimal edge server placement and workload allocation, which is known to be NP-hard. To this end, we explore the possibility of addressing this computationally challenging problem using quantum computing. However, existing quantum solvers are limited to solving unconstrained binary programming problems. To overcome this obstacle, we propose a hybrid quantum-classical solution that decomposes the original problem into a quadratic unconstrained binary optimization (QUBO) problem and a linear program (LP) subproblem. The QUBO problem can be solved by a quantum solver, while the LP subproblem can be solved using traditional LP solvers. Our numerical experiments demonstrate the practicality of leveraging quantum supremacy to solve complex optimization problems in edge computing.

quant-ph↗