Beyond the No‑Go Theorems: Structured Vacuum as a Thermodynamic Resource for Projective Ground‑State Preparation

Key Points

• To explore the role of structured vacuum in facilitating projective measurements without significant thermodynamic costs.
• Investigated the properties of structured vacuums in quantum systems.
• Analyzed the interaction between pointer qubits and oscillators in engineered environments.
• Classified measurements within the Shahbeigi–Mohammady hierarchy.
• Structured vacuum eliminates common thermodynamic bottlenecks in projective measurements.
• Demonstrated type-III operation classification with projective outcomes.
• Connected projective ground-state preparation to measurement-powered thermal machines.