Abstract: | Algorithmic Cooling (AC) of spins applies entropy manipulation algorithms in open spin-systems in order to cool spins far beyond Shannon's entropy bound. Several cooling algorithms were suggested in recent years, including practicable algorithmic cooling (PAC) and exhaustive AC. Practicable algorithms have simple implementations, yet the level of cooling they attain is far from optimal; Exhaustive algorithms, on the other hand, cool much better, and some even reach (asymptotically) an optimal level of cooling, but they are not practicable. I'll also introduce semi-optimal practicable AC (SOPAC), wherein few cycles (typically 2--6) are performed at each recursive level. SOPAC algorithms attain cooling levels significantly better than PAC, and are much more efficient than the exhaustive algorithms. |