Quality Engineer vs Automation Engineer vs SDETs

What is Quality Engineer ? here is CSQE definition:

The Certified Software Quality Engineer understands software quality development and implementation, software inspection, testing, verification and validation, and implements software development and maintenance processes and methods.

What Are the Core Competencies of a CSQE?

• Enhanced fundamental understanding of quality philosophies, principles, methods, tools, standards, organizational and team dynamics, interpersonal relationships, professional ethics, and legal and regulatory requirements.
• Thorough understanding of systems architecture and how to implement software development and maintenance processes to reduce the risks associated with various software development methodologies.
• Define, select, and apply product and process metrics and analytical techniques, and have a sound understanding of measurement theory and how to communicate results.
• In-depth understanding of verification and validation processes, including early software defect detection and removal, inspection, and testing methods.
• Advanced knowledge of configuration management processes, including planning,
  configuration identification, configuration control, change management, status accounting, auditing, and reporting.

Reference links:

http://www.getreskilled.com/what-is-a-quality-engineer/