The financial sector is beginning to prepare for the post-quantum era. The usual discussion focuses on cybersecurity: when sufficiently powerful quantum computers arrive, widely used cryptographic systems may become vulnerable, and financial institutions will need to migrate to post-quantum standards. That is true, but it is not enough. Post-quantum finance is not only a technical cybersecurity problem. It is a business law problem. It concerns market integrity, institutional governance, investor protection, operational resilience and the legal duties of firms that depend on digital infrastructure to execute trades, clear transactions and preserve trust in financial markets. Modern financial markets are no longer organised around human decision-making alone. They rely on electronic trading platforms, automated execution, algorithmic strategies, clearing houses, digital records, encrypted communications and time-sensitive data flows. In this environment, cryptography is not a back-office technical detail. It is part of the legal and institutional architecture that makes markets possible. A trade is not merely an economic instruction. It is also a legally meaningful act that depends on authentication, integrity and reliable sequencing. Orders must be genuine. Records must be accurate. Settlement must be final. Market participants must trust that the infrastructure through which transactions are transmitted and recorded has not been compromised. If that infrastructure becomes vulnerable, the problem is not only technological. It affects the legal foundations of market confidence. This is why the transition to post-quantum cryptography should be understood as a governance obligation. Once a material technological vulnerability is known, boards, senior managers, exchanges, clearing houses and regulated financial firms cannot treat preparation as optional indefinitely. The issue becomes one of diligence, risk management and institutional responsibility. The challenge is especially acute in highly automated markets. High-frequency trading and algorithmic strategies already operate at speeds that make traditional supervision difficult. These systems submit, cancel and modify orders