Zero-Fluctuation Quantum Work Extraction

Abstract

We study the possibility of deterministic protocols for extracting work from quantum systems. Focusing on the two-point measurement work extraction scenario, we prove that, with enough copies of the system, such zero-fluctuation protocols always exist if the Hamiltonian has a rational spectrum. Leveraging this result, we show that for any Hamiltonian, it is possible to construct an unitary driving protocol on sufficiently many copies of the system with work fluctuations strictly bounded within an arbitrary interval $\pm \delta$, albeit requiring exponentially many copies in $1/\delta$.

arXiv comment19 pages, 5 figures. Comments welcome!

References in corpus (27)

• Colloquium. Quantum Fluctuation Relations: Foundations and Applications
• Fundamental limitations for quantum and nano thermodynamics
• Fluctuation theorems: Work is not an observable
• The second laws of quantum thermodynamics
• Extractable work from ensembles of quantum batteries. Entanglement helps
• Maximal work extraction from quantum systems
• Work extraction and thermodynamics for individual quantum systems
• Truly work-like work extraction
• The work value of information
• Precision and Work Fluctuations in Gaussian Battery Charging
• Ideal Projective Measurements Have Infinite Resource Costs
• Quantum fluctuation theorems, contextuality and work quasi-probabilities
• Unified Treatment of Quantum Fluctuation Theorem and Jarzynski Equality in Terms of microscopic reversibility
• Relative submajorization and its use in quantum resource theories
• Introducing one-shot work into fluctuation relations
• Work extraction from unknown quantum sources
• Beyond the thermodynamic limit: finite-size corrections to state interconversion rates
• From single-shot towards general work extraction in a quantum thermodynamic framework
• Smoothed generalized free energies for thermodynamics
• From single-shot to general work extraction with bounded fluctuations in work
• On the contribution of work or heat in exchanged energy via interaction in open bipartite quantum systems
• Structure of passive states and its implication in charging quantum batteries
• Collective operations can extremely reduce work fluctuations
• Fluctuations of work cost in optimal generation of correlations
• Fluctuations in Single-Shot $\epsilon$-Deterministic Work Extraction
• Optimal work extraction from quantum batteries based on the expected utility hypothesis
• Role of quantum correlations in daemonic expected utility

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• Genuine quantum advantage in non-linear bosonic quantum batteries
• Local ergotropy and its fluctuations across a dissipative quantum phase transition