Quantum advancements are highly delivering effective outcomes in multiple domains where security is a primary area of focus. The classical security measures provide long-term solutions for security-related issues in different domains, which have to be advanced to handle the current security issues. The existing security models, such as AES, RSA, ECC, etc., can be analyzed to extract their interplay with advanced quantum measures like Shor’s and Grover’s used in quantum computing. This article focuses on a survey about how the classical and quantum models can be integrated or hybridized so that the major security issues in the real-world environment can be handled in an effective way. The survey also investigates how this hybrid security model can extend its support towards data analytics in multiple domains. The areas such as hybridization of ensemble approaches, real-world feasibilities, deployment strategies, optimization, and quantum analytics were considered as the factors for analyzing the interplay between classical and quantum security. The article considered recent literature on both classical and quantum security methods that are implemented in various domains for analysis, and the future guidelines of hybridization were also framed.