Work estimation and work fluctuations in the presence of non-ideal measurements
arXiv:1902.08568 · doi:10.1088/1367-2630/ab4d9d
Abstract
From the perspective of quantum thermodynamics, realisable measurements cost work and result in measurement devices that are not perfectly correlated with the measured systems. We investigate the consequences for the estimation of work in non-equilibrium processes and for the fundamental structure of the work fluctuations when one assumes that the measurements are non-ideal. We show that obtaining work estimates and their statistical moments at finite work cost implies an imperfection of the estimates themselves: more accurate estimates incur higher costs. Our results provide a qualitative relation between the cost of obtaining information about work and the trustworthiness of this information. Moreover, we show that Jarzynski's equality can be maintained exactly at the expense of a correction that depends only on the system's energy scale, while the more general fluctuation relation due to Crooks no longer holds when the cost of the work estimation procedure is finite. We show that precise links between dissipation and irreversibility can be extended to the non-ideal situation.
arXiv comment10 + 17 pages, published version
References in corpus (62)
- A nonequilibrium equality for free energy differences
- The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences
- Colloquium. Quantum Fluctuation Relations: Foundations and Applications
- Quantum Thermodynamics
- The role of quantum information in thermodynamics --- a topical review
- Fundamental limitations for quantum and nano thermodynamics
- Fluctuation theorems: Work is not an observable
- Description of quantum coherence in thermodynamic processes requires constraints beyond free energy
- The Physics of Maxwell's demon and information
- Dissipation: The phase-space perspective
- Minimal Energy Cost for Thermodynamic Information Processing: Measurement and Information Erasure
- Work extraction and thermodynamics for individual quantum systems
- Second law and Landauer principle far from equilibrium
- The resource theory of informational nonequilibrium in thermodynamics
- The Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter
- Extracting quantum work statistics and fluctuation theorems by single qubit interferometry
- An improved Landauer Principle with finite-size corrections
- A Sharp Fannes-type Inequality for the von Neumann Entropy
- Nonequilibrium Thermodynamics of Feedback Control
- Measuring the characteristic function of the work distribution
- Entropy production and the arrow of time
- Extracting work from quantum measurement in Maxwell demon engines
- No-go theorem for the characterisation of work fluctuations in coherent quantum systems
- A derivation (and quantification) of the third law of thermodynamics
- Nonequilibrium fluctuations in quantum heat engines: Theory, example, and possible solid state experiments
- Perspective: Quantum Thermodynamics
- Work measurement as a generalized quantum measurement
- Coherence and measurement in quantum thermodynamics
- Quantum Measurement Cooling
- Non-equilibrium quantum fluctuations of work
- The Minimal Work Cost of Information Processing
- Emergent thermodynamics in a quenched quantum many-body system
- Precision and Work Fluctuations in Gaussian Battery Charging
- Efficient Quantum Measurement Engine
- Optimal work extraction and thermodynamics of quantum measurements and correlations
- Quantum work and the thermodynamic cost of quantum measurements
- Fluctuation theorems for continuously monitored quantum fluxes
- Quantum fluctuation theorems, contextuality and work quasi-probabilities
- Thermodynamic cost of creating correlations
- Nonequilibrium potential and fluctuation theorems for quantum maps
- Quantum measurement and the first law of thermodynamics: the energy cost of measurement is the work value of the acquired information
- The quantum-classical correspondence principle for work distributions
- Assessing the non-equilibrium thermodynamics in a quenched quantum many-body system via single projective measurements
- Performance of autonomous quantum thermal machines: Hilbert space dimension as a thermodynamic resource
- Unifying paradigms of quantum refrigeration: A universal and attainable bound on cooling
- The thermodynamics of creating correlations: Limitations and optimal protocols
- Non-equilibrium equalities with unital quantum channels
- Second laws under control restrictions
- Heat-Bath Algorithmic Cooling with optimal thermalization strategies
- Third Law of Thermodynamics as a Single Inequality
- Quantum fluctuation theorems and generalized measurements during the force protocol
- Fundamental work cost of quantum processes
- Heat-Bath Algorithmic Cooling with correlated qubit-environment interactions
- Detailed Fluctuation Relation for Arbitrary Measurement and Feedback Schemes
- Quantum Horn's lemma, finite heat baths, and the third law of thermodynamics
- Energetics of correlations in interacting systems
- Unifying paradigms of quantum refrigeration: fundamental limits of cooling and associated work costs
- Correlation-Enhanced Algorithmic Cooling
- Quantum Fluctuation Theorems
- Trade-off Between Work and Correlations in Quantum Thermodynamics
- Thermodynamic work cost of quantum estimation protocols
- Generalized energy measurements and quantum work compatible with fluctuation theorems
Cited by in corpus (31)
- Ideal Projective Measurements Have Infinite Resource Costs
- Charging a quantum battery with linear feedback control
- Landauer vs. Nernst: What is the True Cost of Cooling a Quantum System?
- Quantum work statistics close to equilibrium
- Efficiently Fuelling a Quantum Engine with Incompatible Measurements
- Work fluctuations and entanglement in quantum batteries
- Quantum superposition of thermodynamic evolutions with opposing time's arrows
- Continuous Measurement Boosted Adiabatic Quantum Thermal Machines
- Energy-Consumption Advantage of Quantum Computation
- Probabilistically Violating the First Law of Thermodynamics in a Quantum Heat Engine
- Autonomous Temporal Probability Concentration: Clockworks and the Second Law of Thermodynamics
- Unification of the first law of quantum thermodynamics
- Measurement-based quantum thermal machines with feedback control
- Quantum memory enhanced dissipative entanglement creation in non-equilibrium steady states
- Trade-offs between precision and fluctuations in charging finite-dimensional quantum batteries
- Joint measurability in nonequilibrium quantum thermodynamics
- Second law of thermodynamics for batteries with vacuum state
- Inferring work by quantum superposing forward and time-reversal evolutions
- Work and Fluctuations: Coherent vs. Incoherent Ergotropy Extraction
- Limits on quantum measurement engines
- Exploring the extent of validity of quantum work fluctuation theorems in the presence of weak measurements
- Self-consistency of the two-point energy measurement protocol
- Finite resolution ancilla-assisted measurements of quantum work distributions
- Ergotropic advantage in a measurement-fueled quantum heat engine
- Entropic costs of extracting classical ticks from a quantum clock
- Quantum detectors as autonomous machines: assessing the nonequilibrium thermodynamics of information acquisition
- Weak continuous measurements require more work than strong ones
- Thermodynamic Constraints on Information Transmission in Quantum Ensembles
- Quantum thermodynamics under continuous monitoring: a general framework
- Thermodynamic Constraints on the Emergence of Intersubjectivity in Quantum Systems
- Coarse-grained quantum thermodynamics: Observation-dependent quantities, observation-independent laws