Quantum cloud computing is an emerging paradigm that integrates quantum computing with cloud infrastructure, enabling remote access to quantum computers without the need for specialized physical environments. This paper reviews recent advances in quantum cloud computing, identifies open problems, and proposes future directions. It discusses various cloud-based models, platforms, and technologies, including resource management, quantum serverless computing, security, and privacy. The paper also examines the state-of-the-art in quantum cloud computing, highlighting applications in machine learning, cryptography, and complex system simulations. Key contributions include a comprehensive overview of quantum cloud computing concepts, providers, applications, and challenges, as well as a detailed analysis of emerging aspects such as resource management, distributed quantum computation, and security. The paper concludes by discussing open problems and proposing future research directions to fully realize the potential of quantum cloud computing.Quantum cloud computing is an emerging paradigm that integrates quantum computing with cloud infrastructure, enabling remote access to quantum computers without the need for specialized physical environments. This paper reviews recent advances in quantum cloud computing, identifies open problems, and proposes future directions. It discusses various cloud-based models, platforms, and technologies, including resource management, quantum serverless computing, security, and privacy. The paper also examines the state-of-the-art in quantum cloud computing, highlighting applications in machine learning, cryptography, and complex system simulations. Key contributions include a comprehensive overview of quantum cloud computing concepts, providers, applications, and challenges, as well as a detailed analysis of emerging aspects such as resource management, distributed quantum computation, and security. The paper concludes by discussing open problems and proposing future research directions to fully realize the potential of quantum cloud computing.