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Non-Homogeneous Quantum Computing Resource Allocation Optimization

Jincheng Zhang

Published Sep 3, 2026• 0 citations
Publisher

Abstract

This paper addresses the critical challenge of resource allocation in non-homogeneous quantum computing environments, where quantum bits (qubits) exhibit significantly varying characteristics. We propose a novel reinforcement learning-based algorithm for optimizing resource allocation, specifically designed to identify the optimal execution path for quantum computing tasks and maximize qubit utilization. The core of our approach lies in building a probabilistic model representing the quantum computing environment and employing a reinforcement learning agent to learn the best qubit allocation strategy through trial and error. This algorithm overcomes the limitations of existing methods that assume uniform qubit properties, leading to improved efficiency and success rates in quantum computations. The algorithm's core equation is as follows: * *E* = ∑i=1K *ri* (1 - *pi*) where *E* represents the overall execution efficiency, *K* is the number of qubits, *ri* is the allocated resource for qubit *i*, and *pi* is the probability of failure for qubit *i*. The algorithm's objective is to minimize *E*. Furthermore, the reward function is defined as: * R = (1 - E)* where *R* is the reward and *E* is the execution efficiency. The algorithm learns by maximizing this reward. The probabilistic model incorporates qubit characteristics such as coherence time, gate fidelity, and coupling strength, represented as probability distributions. The reinforcement learning agent utilizes a Q-learning algorithm to estimate the optimal Q-values, representing the expected reward for each state-action pair. The state space includes qubit characteristics and task requirements, while the action space consists of qubit allocation decisions. The algorithm iteratively updates its Q-values based on observed rewards, converging towards the optimal resource allocation strategy. We demonstrate that this approach offers a significant improvement over traditional uniform qubit allocation methods, particularly in scenarios with highly heterogeneous qubit populations. The primary contribution of this work is the integration of probabilistic modeling and reinforcement learning to effectively address the complexities of non-homogeneous quantum computing.

DOI
10.5281/zenodo.22274021

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arXiv:2401.07120•Jan 13, 2024•2 citations
This paper addresses the critical challenge of resource allocation in non-homogeneous quantum computing environments, where quantum bits (qubits) exhibit significantly varying characteristics. We propose a novel reinforcement learning-based algorithm for optimizing resource allocation, specifically designed to identify the optimal execution path for quantum computing tasks and maximize qubit utilization. The core of our approach lies in building a probabilistic model representing the quantum computing environment and employing a reinforcement learning agent to learn the best qubit allocation strategy through trial and error. This algorithm overcomes the limitations of existing methods that assume uniform qubit properties, leading to improved efficiency and success rates in quantum computations. The algorithm's core equation is as follows: * E = ∑i=1K ri (1 - pi) where E represents the overall execution efficiency, K is the number of qubits, ri is the allocated resource for qubit i, and pi is the probability of failure for qubit i. The algorithm's objective is to minimize E. Furthermore, the reward function is defined as: * R = (1 - E)* where R is the reward and E is the execution efficiency. The algorithm learns by maximizing this reward. The probabilistic model incorporates qubit characteristics such as coherence time, gate fidelity, and coupling strength, represented as probability distributions. The reinforcement learning agent utilizes a Q-learning algorithm to estimate the optimal Q-values, representing the expected reward for each state-action pair. The state space includes qubit characteristics and task requirements, while the action space consists of qubit allocation decisions. The algorithm iteratively updates its Q-values based on observed rewards, converging towards the optimal resource allocation strategy. We demonstrate that this approach offers a significant improvement over traditional uniform qubit allocation methods, particularly in scenarios with highly heterogeneous qubit populations. The primary contribution of this work is the integration of probabilistic modeling and reinforcement learning to effectively address the complexities of non-homogeneous quantum computing.
This paper explores the application of Deep Reinforcement Learning (DRL) for optimizing quantum resource allocation in quantum computing. Traditional quantum resource allocation often relies on manual design and expert knowledge, which can be computationally expensive and limit scalability. We propose a novel framework utilizing DRL to automate this process, learning optimal strategies for allocating quantum resources (qubits, gates, and time) to maximize the performance of quantum algorithms. The core of our approach involves constructing a DRL model where the agent learns to make decisions regarding resource allocation based on the current state of the quantum system and the desired algorithm outcome. We define a state space representing the quantum system's configuration, action space encompassing various resource allocation options, and a reward function that reflects the algorithm's success. Through this framework, we aim to significantly enhance the efficiency and performance of quantum computations. This work presents a foundational approach, paving the way for more sophisticated DRL-based quantum resource allocation strategies.
This paper presents a novel approach to dynamic quantum computing resource allocation and scheduling, addressing the limitations of static resource management in the field. The core claim is that real-time monitoring of quantum resource utilization combined with the inherent characteristics of quantum algorithms can lead to optimized dynamic allocation and scheduling, ultimately boosting quantum computing efficiency. The proposed mechanism leverages reinforcement learning (RL) to learn an optimal resource allocation policy. The RL agent adapts to the specific requirements of quantum algorithms, considering factors such as the number of qubits and their entanglement level. The algorithm aims to minimize execution time and maximize resource utilization. This research contributes to a more flexible and efficient utilization of scarce quantum computing resources, a critical factor in the advancement of quantum computation. The key performance indicator is the reduction in the average execution time of quantum algorithms, compared to static allocation strategies. The theoretical framework is built upon queuing theory and stochastic optimization techniques.
This paper addresses the critical challenge of optimizing resource allocation within dynamic quantum networks (QNs). The inherent complexities of QNs, including fluctuating demands, evolving topologies, and the fragility of quantum states, necessitate adaptive resource management strategies. We propose a novel algorithm leveraging reinforcement learning (RL) to dynamically adjust resource allocation based on real-time network conditions. The algorithm learns an optimal policy by iteratively interacting with a simulated QN environment, maximizing the overall quantum channel throughput while minimizing the probability of quantum error. Specifically, the core mechanism involves formulating the resource allocation problem as a Markov Decision Process (MDP), where the state represents the network's current configuration, the action represents the allocation of quantum resources (e.g., qubits, entanglement), and the reward reflects the successful completion of quantum communication tasks. The RL agent utilizes a Q-learning algorithm to estimate the optimal Q-function, guiding the allocation process. We demonstrate, through simulation, that our algorithm significantly outperforms static allocation strategies in terms of throughput and reliability, even under highly dynamic network conditions. The key contributions of this work lie in the integration of RL with the unique characteristics of QNs and the development of a practical algorithm for adaptive resource management. Further research will explore the scalability of this approach and its application to larger, more complex QN topologies.
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Quantum entanglement is a fundamental resource in quantum computing, enabling phenomena like super-dense coding and quantum teleportation. However, effectively utilizing this resource is a significant challenge, particularly in large-scale quantum computations. Traditional methods for quantum resource allocation are often static and rely heavily on expert knowledge, which may not adapt well to the dynamic and complex demands of real-world quantum tasks. This paper proposes a novel framework for dynamic quantum entanglement resource allocation, leveraging the power of reinforcement learning (RL). We construct a quantum computing environment simulator and train a reinforcement learning agent to autonomously manage and allocate entanglement resources based on task requirements and current resource availability. The agent learns an optimal policy through trial and error, maximizing the efficiency and potentially enhancing the error resilience of quantum computations. The core of this approach lies in the adaptive nature of the RL agent, allowing it to respond to fluctuating demands and optimize resource allocation in real-time. This work represents a significant step towards more efficient and practical quantum computing by moving away from pre-defined rules and embracing intelligent automation.
Quantum computing networks enable scalable collaboration and secure information exchange among multiple classical and quantum computing nodes while executing large-scale generative AI computation tasks and advanced quantum algorithms. Quantum computing networks overcome limitations such as the number of qubits and coherence time of entangled pairs and offer advantages for generative AI infrastructure, including enhanced noise reduction through distributed processing and improved scalability by connecting multiple quantum devices. However, efficient resource allocation in quantum computing networks is a critical challenge due to factors including qubit variability and network complexity. In this article, we propose an intelligent resource allocation framework for quantum computing networks to improve network scalability with minimized resource costs. To achieve scalability in quantum computing networks, we formulate the resource allocation problem as stochastic programming, accounting for the uncertain fidelities of qubits and entangled pairs. Furthermore, we introduce state-of-the-art reinforcement learning (RL) algorithms, from generative learning to quantum machine learning for optimal quantum resource allocation to resolve the proposed stochastic resource allocation problem efficiently. Finally, we optimize the resource allocation in heterogeneous quantum computing networks supporting quantum generative learning applications and propose a multi-agent RL-based algorithm to learn the optimal resource allocation policies without prior knowledge.