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IEEE Access

Hybrid Quantum-Classical Solutions for NP-Complete Graph Problems in Scalable Cloud Microservice Environments

Seda Nur Gungor, Mehmet Karaköse

Published Jan 1, 2026• 0 citations
Publisher

Abstract

Cloud computing platforms increasingly rely on large-scale microservice architectures, in which hundreds of independent services interact through complex communication structures. Analyzing these interaction patterns and identifying highly connected service groups are critical for service placement strategies aimed at optimizing communication efficiency and resource utilization. Structural analysis problems of this type can often be formulated as NP-complete problems when considered on a large scale. Quantum computing is a promising paradigm that extends the capabilities of conventional computational approaches by exploiting its advantages of quantum mechanics. This study proposes a quantum-classical hybrid algorithm based on an adapted Quantum Feasibility Labeling (QFL) algorithm to identify highly interacting microservice clusters in cloud environments and support their optimal placement. Simulation results demonstrate that the proposed modular circuit architecture can represent graph feasibility relationships and support the systematic identification of clique structures in small-scale proof-of-concept cases. In addition, the SXNORR-based modular design improves circuit reusability and structural scalability compared with the monolithic circuit structures commonly used in existing quantum graph algorithms. These findings indicate that modular quantum circuit architectures can provide a promising foundation for the application of quantum computing in the analysis of complex systems, such as cloud-based microservice interaction networks.

DOI
10.1109/access.2026.3711582

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Cloud computing platforms increasingly rely on large-scale microservice architectures, in which hundreds of independent services interact through complex communication structures. Analyzing these interaction patterns and identifying highly connected service groups are critical for service placement strategies aimed at optimizing communication efficiency and resource utilization. Structural analysis problems of this type can often be formulated as NP-complete problems when considered on a large scale. Quantum computing is a promising paradigm that extends the capabilities of conventional computational approaches by exploiting its advantages of quantum mechanics. This study proposes a quantum-classical hybrid algorithm based on an adapted Quantum Feasibility Labeling (QFL) algorithm to identify highly interacting microservice clusters in cloud environments and support their optimal placement. Simulation results demonstrate that the proposed modular circuit architecture can represent graph feasibility relationships and support the systematic identification of clique structures in small-scale proof-of-concept cases. In addition, the SXNORR-based modular design improves circuit reusability and structural scalability compared with the monolithic circuit structures commonly used in existing quantum graph algorithms. These findings indicate that modular quantum circuit architectures can provide a promising foundation for the application of quantum computing in the analysis of complex systems, such as cloud-based microservice interaction networks.
The widespread adoption of microservice architectures in large-scale cloud systems introduces challenges related to the optimal deployment of service components and the optimization of inter-service communication. This study proposes a quantum-classical hybrid approach to address this problem, which can be considered an NP-hard problem at large scale, with the aim of achieving an optimal deployment of microservices that exhibit intensive interactions. In the proposed method, microservice interactions are modeled as a weighted graph and transferred to a quantum environment for the purpose of maximum clique detection. Modeling the problem using a weighted graph, where microservice interaction parameters such as latency, communication frequency, and data volume are evaluated as composite edge weights, enables the deployment problem to be grounded in system-oriented criteria and treated as a multi-dimensional optimization task. In this study, all valid clique structures are correctly identified, thereby enabling optimization strategies to be executed within the quantum computing environment.
Although NP-complete problems have solutions that can be verified in polynomial time, their exponential computational complexity presents significant challenges for classical computing methods. This study focuses on transferring various NP-complete problems into the quantum computing framework. The application of specific quantum computing algorithms is proposed for solving these problems. Within the scope of this study, a reusable quantum component with problem-specific constraints is designed, and a quantum circuit model is introduced to adapt the Quantum Feasibility Labeling algorithm for solving the Maximum Clique problem. Additionally, the Quick Quantum Search algorithm, which performs a search with a single oracle call, is integrated into the solution of the Maximum Independent Set problem. The proposed quantum circuits provide illustrative examples of how the components of an NP-complete problem can be represented in a quantum computing environment and how problem-specific constraints can be implemented within a quantum circuit. The utilization of modular circuit designs effectively demonstrates the applicability of larger and more complex problems in quantum environments. These approaches not only enable more efficient use of computational resources compared to traditional methods but also lead to significant reductions in solution times. This study provides a comprehensive framework that not only demonstrates the practicality of quantum circuits for small-scale NP-complete problems but also lays the groundwork for addressing larger and more complex challenges in future quantum computing applications.
The increasing scale and interconnectedness of modern computational systems have intensified the demand for efficient algorithms capable of analyzing complex networks and solving graph-based optimization problems. Classical optimization techniques, while effective for moderate-sized datasets, often encounter exponential computational growth when applied to large-scale graph structures characterized by high dimensionality and dynamic topology. This paper explores quantum algorithmic frameworks for graph-based optimization and network analysis in large-scale computational systems, emphasizing the potential of quantum computing paradigms to address combinatorial complexity and enhance computational scalability. By synthesizing developments in quantum search algorithms, variational quantum circuits, and hybrid quantum–classical optimization methods, the study evaluates their applicability to tasks such as shortest-path discovery, clustering, community detection, and network resilience assessment. The findings suggest that quantum-enabled frameworks may provide complementary advantages in exploring vast solution spaces and improving optimization efficiency, particularly when integrated with classical preprocessing and orchestration strategies.
Abstract The integration of cloud computing architectures with quantum computational models represents a significant paradigm shift in the field of large-scale data analysis. While quantum processors possess the theoretical capability to solve complex statistical and logistical problems exponentially faster than classical systems, deploying them within conventional cloud environments introduces severe performance bottlenecks. These challenges primarily revolve around network latency, quantum state decoherence, and the inadequacies of classical resource provisioning algorithms. In this paper, we explore the performance issues associated with hybrid quantum-cloud infrastructures and propose a structured decision-making and scheduling framework. By analyzing deployment constraints, cryptographic overheads, and hardware limitations, this study highlights the critical pathways and ethical considerations necessary for standardizing Quantum-as-a-Service (QaaS) in modern enterprise datacenters. Keywords: Quantum processors, Quantum-as-a-Service(QaaS), makespan 1.Introduction The integration of cloud computing and quantum computation represents a crucial frontier for the future of complex data analysis. Cloud computing has revolutionized the modern information technology landscape by transitioning computational resources from localized, purchased products to highly scalable, on-demand services delivered over the internet. Simultaneously, quantum computing offers unprecedented computational advantages through fundamental physical phenomena like entanglement and superposition, enabling the resolution of highly complex logistical, chemical, and statistical problems. However, merging these two distinct technological domains into a unified framework introduces severe performance bottlenecks related to dynamic resource provisioning, network communication latency, and task scheduling. The primary problem lies in the efficient execution of large-scale data analysis pipelines that make both classical datacenters and quantum processing units (QPUs). Existing approaches are demonstrably insufficient for managing this hybrid computing environment for two main reasons. First, conventional cloud load balancing and resource allocation algorithms are designed solely for deterministic classical virtual machines, fundamentally failing to account for the unique coherence times, error rates, and state preparation constraints of quantum hardware. Fig 1.1 shows Cloud balancing. Second,current cryptographic protocols designed for delegated quantum computing , while excellent at ensuring the blindness and security of user data, impose substantial communication and entangling overheads that severely degrade end-to-end performance in real-world datacenter along with Circuit diagram in Fig.1.2. Figure 1.1 Cloud Balancing with web servers To address these critical performance issues, this paper introduces a novel architectural approach designed specifically for hybrid quantum-cloud systems. We aim to bridge the gap between theoretical quantum potential and practical cloud deployment. Specifically, our work makes the following contributions: We propose a structured, hybrid decision-making and scheduling framework that dynamically partitions and routes data analysis tasks between classical cloud servers and quantum nodes. We formulate a comprehensive, hypothetical evaluation methodology to simulate the makespan and resource utilization of this hybrid system, identifying key latency bottlenecks in delegated quantum operations. Fig 1.2. Quantum Circuit diagram 2.Classical Cloud Computing The first category of related work focuses on resource management and provisioning in classical cloud computing. Traditional methods in this domain emphasize minimizing the computational makespan of tasks through selective heuristics, such as min-min and max-min scheduling algorithms, which allocate virtual machines based on fluctuating task demands. Furthermore, comprehensive load balancing schemes have been developed to ensure efficient resource utilization in accordance with strict Service Level Agreements (SLAs), allowing resources to be provisioned on a pay-as-you-go basis. While these classical models demonstrate robust strengths in minimizing computational wait times and maximizing server efficiency, their fundamental weakness is their inability to schedule probabilistic and highly sensitive quantum operations. In contrast to these purely classical frameworks, our proposed work directly integrates quantum-specific hardware constraints, such as state preparation delays and decoherence windows, into the provisioning logic. The second category addresses broader enterprise cloud adoption and organizational decision-making frameworks. Research in this area highlights the necessity for generic, multi-criteria decision frameworks that evaluate cloud infrastructures beyond mere cost considerations, factoring in specific enterprise risks, benefits, and IT support metrics. Additionally, numerous studies have developed strategic roadmaps for Small and Medium Enterprises (SMEs) to navigate complex interoperability, knowledge, and security challenges during cloud migration. Although these frameworks provide excellent strategic guidance for adopting standard classical services, they lack operational mechanisms for managing the performance issues introduced by bleeding-edge quantum co-processors. Our work builds upon these established enterprise decision-making structures by providing a functional, low-level deployment pipeline tailored for hybrid operations. The third category explores the theoretical foundations of delegated quantum computing and interdisciplinary quantum applications. Delegated quantum computing allows clients with extremely low computational capabilities to securely outsource demanding tasks to a powerful quantum server, often utilizing measurement-based models and complex prepare-and-send communication paradigms to preserve data blindness. Concurrently, quantum computing frameworks have been utilized to explore deep interdisciplinary problems—ranging from physics paradoxes to advanced chemical modeling—demonstrating vast analytical potential. The primary weakness of this category is that much of the academic research remains focused on abstract theoretical protocols or isolated quantum circuits, rather than addressing the physical infrastructure pitfalls and massive scale required for cloud integration. This paper bridges that gap by embedding delegated quantum paradigms within a concrete, performance-oriented enterprise cloud architecture. 3.Hybrid Quantum-Cloud To tackle the performance issues inherent in hybrid data analysis, we propose a modular Hybrid Quantum-Cloud Provisioning Framework. The system follows a structured, numbered pipeline designed to seamlessly route computational tasks across heterogeneous hardware. First, classical user requests are ingested by a central cloud load balancer that analyzes the computational complexity and algorithmic requirements of the incoming dataset. Second, the system employs a multi-criteria decision engine to partition the workflow; classical data preprocessing is routed to standard virtual machines, while complex optimization components are packaged as isolated quantum circuits. Third, the framework utilizes a delegated quantum computing protocol to securely transmit the quantum state from the classical node to the QPU, applying a prepare-and-send methodology to preserve data blindness during execution. Finally, the resulting quantum measurements are returned to the classical cloud for post-processing and aggregation before the final analysis is delivered to the end user. The core design choice in this approach is the adaptation of selective scheduling heuristics to manage the delicate interaction between classical datacenters and quantum nodes. Traditional task allocation algorithms are augmented to treat QPUs as highly specialized, time-shared resources with exceptionally strict execution windows dictated by qubit decoherence times. Furthermore, we utilize an ad hoc resource harvesting concept for the classical preprocessing stages, allowing sporadic, non-exclusive classical resources to rapidly feed structured data into the highly controlled quantum environment. This strict division of labor ensures that the expensive, high-maintenance quantum hardware is never left idle waiting for classical data transformations, thereby optimizing the overall makespan and mitigating critical performance bottlenecks. To validate the efficacy of this proposed framework, we outline a comprehensive hypothetical evaluation plan. We propose extending a standard cloud simulation environment, such as CloudSim, by integrating a custom quantum execution module that mathematically models qubit gate latencies, state preparation times, and network communication overheads. The hypothetical evaluation will benchmark our hybrid scheduling algorithm against strict First-Come-First-Serve (FCFS) provisioning policies across varying data analysis workload intensities. By tracking the total task makespan and server utilization rates, we anticipate demonstrating that intelligent algorithmic partitioning significantly reduces the performance degradation typically associated with delegated quantum computing overheads. 4.Practical implications The deployment of hybrid quantum-cloud systems carries significant practical implications for the future of enterprise IT infrastructure. From a deployment perspective, organizations will no longer need to invest heavily in fragile, independent quantum hardware; instead, they will consume computation through standardized cloud providers. This shift mandates a reevaluation of existing academic cloud research, pushing industry professionals to move beyond small-scale toy deployments and embrace complex, data-center-level abstractions that in
Cloud computing has transformed modern digital infrastructure by enabling on-demand access to scalable computational resources. However, the increasing complexity of dynamic workloads and the need for efficient resource allocation present persistent challenges in maintaining performance, cost efficiency, and energy sustainability. This paper introduces a Quantum-Driven Optimization (QDO) framework, a hybrid quantum-classical approach designed to enhance cloud resource allocation by integrating quantum computing techniques with classical optimization methods. The proposed framework leverages Quantum Annealing (QA) and the Variational Quantum Eigensolver (VQE) to optimize resource distribution, minimizing energy consumption and operational costs while maximizing throughput and utilization efficiency. Experimental evaluations demonstrate that the QDO framework achieves a 27% improvement in resource utilization, a 34% reduction in operational costs, and a 21% enhancement in task completion time compared to traditional heuristic-based approaches. Additionally, the hybrid model reduces Service Level Agreement (SLA) violations by 18%, ensuring robust Quality of Service (QoS) for cloud users. The framework employs classical algorithms for preprocessing and decision-making while delegating complex optimization tasks to quantum solvers, ensuring scalability across diverse cloud environments. This study highlights the transformative potential of hybrid quantum-classical computing in addressing cloud resource allocation challenges. The results indicate significant improvements in energy efficiency, cost-effectiveness, and system responsiveness, making the QDO framework a viable solution for next-generation cloud infrastructures. Future research directions include extending the framework to multi-cloud architectures and investigating advanced quantum algorithms for further optimization gains.
The integration of quantum computing into multi-cloud environments represents a transformative paradigm in distributed computing, offering substantial improvements in computational efficiency, security resilience, and adaptive workload orchestration. However, the heterogeneous nature of cloud infrastructures, combined with the nascent and resource-sensitive characteristics of quantum systems, introduces significant architectural, operational, and security challenges. This paper proposes an optimized quantum computing integration approach designed specifically for multi-cloud ecosystems, emphasizing scalable architecture design, intelligent workload distribution, and enhanced cryptographic security mechanisms.The study synthesizes foundational quantum computing principles with contemporary multi-cloud orchestration strategies to develop a hybrid architectural framework. The proposed model leverages quantum-enhanced optimization techniques, including quantum approximate optimization principles, to dynamically allocate computational tasks across distributed cloud nodes. Additionally, it integrates quantum-safe security protocols to mitigate emerging cyber threats in cloud environments. Prior research highlights the relevance of such integration, particularly in solving complex optimization problems and enhancing system-level security (Brown & White, 2022; Cao et al., 2020).A structured literature synthesis reveals that while cloud computing and quantum computing have individually matured, their convergence remains underexplored in practical deployment contexts. This paper addresses this gap by introducing an architecture that supports adaptive workload balancing, quantum-classical hybrid execution layers, and secure inter-cloud communication channels. The findings indicate that quantum-enhanced orchestration can significantly reduce computational latency and improve resource utilization efficiency in multi-cloud systems.