The Asymptotic Cooling of Heat-Bath Algorithmic Cooling

Abstract

The purity of quantum states is a key requirement for many quantum applications. Improving the purity is limited by fundamental laws of thermodynamics. Here we are probing the fundamental limits for a natural approach to this problem, namely heat-bath algorithmic cooling(HBAC). The existence of the cooling limit for HBAC techniques was proved by Schulman et al. in, the limit however remained unknown for the past decade. Here for the first time we find this limit. In the context of quantum thermodynamics, this corresponds to the maximum extractable work from the quantum system.

11 pages, 4 figures, In the new version we clarified the main proofs and moved parts to the main body of the paper. Elaborated on implications for more general initial states. Additional references added. Minor corrections and changes

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Cited by in corpus (6)

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• Cooling a Qubit using n Others