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.

arXiv comment11 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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• Achievable polarization for Heat-Bath Algorithmic Cooling
• Unifying paradigms of quantum refrigeration: fundamental limits of cooling and associated work costs
• Correlation-Enhanced Algorithmic Cooling
• Time-optimal purification of a qubit in contact with a structured environment
• Heat Bath Algorithmic Cooled Quantum Otto Engines
• Exponential improvement for quantum cooling through finite-memory effects
• Optimizing thermalizations
• Algorithmic Cooling in Liquid State NMR
• Strong Algorithmic Cooling in Large Star-Topology Quantum Registers
• Novel Technique for Robust Optimal Algorithmic Cooling
• Dynamic Cooling on Contemporary Quantum Computers
• Quantum Computing by Cooling
• Thermodynamics of a minimal algorithmic cooling refrigerator
• Efficiently Cooling Quantum Systems with Finite Resources: Insights from Thermodynamic Geometry
• Algorithmic Cooling of Nuclear Spin Pairs using a Long-Lived Singlet State
• Breaking the limits of purification: Postselection enhances heat-bath algorithmic cooling
• No-go Theorem of Purification
• Quantum noise can enhance algorithmic cooling
• Cooling to absolute zero: The unattainability principle
• Generalized Zurek's bound on the cost of an individual classical or quantum computation
• State-independent robust heat-bath algorithmic cooling of nuclear spins
• Photon cooling: linear vs nonlinear interactions
• Catalytic transformations with finite-size environments: applications to cooling and thermometry
• Cooling and work extraction under memory-assisted Markovian thermal processes
• Cooling a Qubit using n Others
• Optimal Manipulation Of Correlations And Temperature In Quantum Thermodynamics