Headless Login Implementation via Salesforce

I'm seeking a developer with expertise in Salesforce and authentication systems to implement a headless login for my application. This system should allow users to login without a traditional username and password, utilizing Salesforce as the authentication method.

Key Requirements:
- Proficient understanding of Salesforce and its authentication capabilities
- Experience with implementing headless login systems
- Ability to integrate this system seamlessly with a Salesforce platform

Please note, our user database is already established within Salesforce. Your task will be to leverage this existing system to create a secure and efficient headless login process.