Molecular scale heat engines and scalable quantum computation
STOC '99 Proceedings of the thirty-first annual ACM symposium on Theory of computing
Physical Limits of Heat-Bath Algorithmic Cooling
SIAM Journal on Computing
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Algorithmic cooling is a potentially important technique for making scalable NMR quantum computation feasible in practice. Given the constraints imposed by this approach to quantum computing, the most likely cooling algorithms to be practicable are those based on simple reversible polarization compression (RPC) operations acting locally on small numbers of bits. Several different algorithms using 2- and 3-bit RPC operations have appeared in the literature, and these are the algorithms I consider in this note. Specifically, I show that the RPC operation used in all these algorithms is essentially a majority vote of 3 bits, and prove the optimality of the best such algorithm. I go on to derive some theoretical bounds on the performance of these algorithms under some specific assumptions about errors.