Integrating blockchain technology and financial services has marked a new era of innovation. Still, the impending threat of quantum computing to current cryptographic standards raises severe concerns about digital information security. This literature review explores the role of quantum-resistant cryptographic algorithms in ensuring the integrity and confidentiality of sensitive information in the face of evolving technological threats. It delves into the types of quantum-resistant algorithms, including lattice-based, code-based, and multivariate polynomial-based algorithms, and their advantages and disadvantages. The review also discusses the strategic implications for the financial sector, including the need for thorough risk assessments, phased implementation, and testing and validation of quantum-resistant algorithms. The integration of blockchain technology into financial services is crucial for maintaining the security and efficiency of financial transactions, and this review highlights the importance of developing robust security measures to mitigate potential risks associated with the transition to blockchain technology.