
Quantum systems maintaining coherence or entanglement despite thermal noise and disorder.Quantum thermal stability refers to the ability of quantum systems to maintain coherent properties—such as superposition and entanglement—even when subjected to thermal noise, disorder, or environmental fluctuations. This is counterintuitive because heat typically destroys quantum coherence, causing decoherence. Yet certain systems, protected by symmetries or topological order, can preserve quantum behavior at surprisingly high temperatures, which is crucial for practical quantum technologies.
The study of quantum thermal stability gained prominence with the development of topological insulators and the theoretical prediction of topological order in the 1980s, but the specific focus on thermal robustness of entanglement and coherence has intensified with the rise of quantum computing in the 2000s.
The mechanism often relies on energy gaps that separate the quantum states of interest from thermal excitations. If the gap is large compared to the thermal energy (k_B T), the system remains in its quantum ground state. Alternatively, topological protection uses global properties of the system that are insensitive to local perturbations, making the quantum information robust against thermal noise. In some cases, structured noise or engineered dissipation can even help maintain coherence, as seen in certain driven systems.
It underpins the design of quantum computers and quantum sensors that operate at less extreme temperatures, and it informs the development of error-correction codes that protect quantum information from thermal noise.
Diamond defects known as nitrogen-vacancy centers can maintain quantum entanglement at room temperature, a feat that relies on their isolated spin states and long coherence times.
| \Delta H_{\text{hull | variable | Hull enthalpy, energy above convex hull — enthalpy joule per mole |
| \Delta_f H | variable | Formation enthalpy of the compound — enthalpy joule per mole |
| E_{\text{hull}} | variable | Convex hull energy at the composition — energy joule per mole |







