New Quantum Resources and Thermodynamics

Specific research tasks of the group include:
1) Quantum open systems and quantum thermodynamics
a. Open problems on Thermal Operations
b. Efficiencies of engines based on Thermal Operations
c. The notion of work in micro regime; quantum batteries
d. Dynamical description of thermal quantum machines in various systems, including solar cells, thermoelectric generators, life-harvesting systems
e. Thermodynamics with explicit battery; fluctuation relations
f. Study limitations of Markovian evolution in thermodynamical context

2) Resources for quantum computing:
a. Contextuality/nonlocality, their relation to quantum speedup (in collaboration with NRQ)
b. Quantum gates, t-designs, random circuits.
c. POVMs – their power versus von Neumann measurements and application to quantum algorithms

3) Quantum communication:
a. Port based teleportation – various variants, related group representation problems
b. Quantum error correction
c. Randomness amplification/extraction, secret key extraction (in collaboration with NRQ)

4) Bell inequalities
a. Employing graph theoretic tools
b. Large violation