Work fluctuations and entanglement in quantum batteries

Abstract

We consider quantum batteries given by composite interacting quantum systems in terms of the thermodynamic work cost of local random unitary processes. We characterize quantum correlations by monitoring the average energy change and its fluctuations in the high-dimensional bipartite systems. We derive a hierarchy of bounds on high-dimensional entanglement (the so-called Schmidt number) from the work fluctuations and thereby show that larger work fluctuations can verify the presence of stronger entanglement in the system. Finally, we develop two-point measurement protocols with noisy detectors that can estimate work fluctuations, showing that the dimensionality of entanglement can be probed in this manner.

arXiv comment16 pages, 3 figures

References in corpus (94)

• Entanglement detection
• Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
• Security of quantum key distribution using d-level systems
• Colloquium. Quantum Fluctuation Relations: Foundations and Applications
• The role of quantum information in thermodynamics --- a topical review
• Fluctuation theorems: Work is not an observable
• Extractable work from ensembles of quantum batteries. Entanglement helps
• Maximal work extraction from quantum systems
• Probing entanglement entropy via randomized measurements
• Information-theoretic aspects of quantum inseparability of mixed states
• Enhancing the charging power of quantum batteries
• High-power collective charging of a solid-state quantum battery
• Quantacell: Powerful charging of quantum batteries
• Chaos and complexity by design
• The Bloch Vector for N-Level Systems
• Universal Quantum Estimator
• Direct estimations of linear and non-linear functionals of a quantum state
• A Schmidt number for density matrices
• Bloch vectors for qudits
• Extractable work, the role of correlations, and asymptotic freedom in quantum batteries
• Entanglement Certification $-$ From Theory to Experiment
• Entanglement Generation is Not Necessary for Optimal Work Extraction
• Spin-chain model of a many-body quantum battery
• Quantum advantage in the charging process of Sachdev-Ye-Kitaev batteries
• Superabsorption in an organic microcavity: towards a quantum battery
• Extractable Work from Correlations
• Rényi Entropies from Random Quenches in Atomic Hubbard and Spin Models
• Direct detection of quantum entanglement
• Concurrence of mixed multi-partite quantum states
• Schmidt number witnesses and bound entanglement
• Bounds on the capacity and power of quantum batteries
• Maximally Non-Local and Monogamous Quantum Correlations
• Entanglement enhances cooling in microscopic quantum fridges
• Quantum Charging Advantage Cannot Be Extensive Without Global Operations
• No-go theorem for the characterisation of work fluctuations in coherent quantum systems
• Using dark states to charge and stabilise open quantum batteries
• Work measurement as a generalized quantum measurement
• Optimal charging of a superconducting quantum battery
• Daemonic Ergotropy: Enhanced Work Extraction from Quantum Correlations
• Statistical correlations between locally randomized measurements: a toolbox for probing entanglement in many-body quantum states
• An observable entanglement measure for unknown mixed quantum states
• Direct measurement of non-linear properties of bipartite quantum states
• Cross-Platform Verification of Intermediate Scale Quantum Devices
• The power of random measurements: measuring Tr(ρ^n) on single copies of ρ
• Precision and Work Fluctuations in Gaussian Battery Charging
• Theory of quantum system certification: a tutorial
• Ideal Projective Measurements Have Infinite Resource Costs
• Autonomous quantum thermal machine for generating steady-state entanglement
• Ultra-stable charging of fast-scrambling SYK quantum batteries
• Multipartite entanglement detection from correlation tensors
• Quantum fluctuation theorems, contextuality and work quasi-probabilities
• Thermodynamic cost of creating correlations
• Weak randomness in device independent quantum key distribution and the advantage of using high dimensional entanglement
• Measuring Multipartite Concurrence with a Single Factorizable Observable
• Random Quantum Batteries
• Holevo's bound from a general quantum fluctuation theorem
• The thermodynamics of creating correlations: Limitations and optimal protocols
• Characterizing multipartite entanglement with moments of random correlations
• Work estimation and work fluctuations in the presence of non-ideal measurements
• Noiseless Quantum Circuits for the Peres Separability Criterion
• Characterizing multipartite entanglement without shared reference frames
• Measuring work and heat in ultracold quantum gases
• Work Statistics, Loschmidt Echo and Information Scrambling in Chaotic Quantum Systems
• Quasiprobabilistic Interpretation of Weak measurements in Mesoscopic Junctions
• Quantum entanglement from random measurements
• Entanglement cost in practical scenarios
• Quantum work statistics, Loschmidt echo and information scrambling
• Bound entanglement from randomized measurements
• Correlations between outcomes of random measurements
• Determination of the Schmidt number
• Quantum machines powered by correlated baths
• High-Dimensional Entanglement in States with Positive Partial Transposition
• Quantum fluctuation theorem to benchmark quantum annealers
• Bound on Ergotropic Gap for Bipartite Separable States
• The presence of quantum correlations result in non-vanishing ergotropic gap
• Energetics of correlations in interacting systems
• Spectral Fluctuations in the Sachdev-Ye-Kitaev Model
• Random Matrix Theory of the Isospectral twirling
• Relaxation due to random collisions with a many-qudit environment
• Entanglement characterization using quantum designs
• Optimal local work extraction from bipartite quantum systems in the presence of Hamiltonian couplings
• Daemonic ergotropy: generalised measurements and multipartite settings
• Quantum to classical transition in the work distribution for chaotic systems
• Characterizing quantum states via sector lengths
• Detecting Gaussian entanglement via extractable work
• Statistically significant tests of multiparticle quantum correlations based on randomized measurements
• Work distributions for random sudden quantum quenches
• Maximum $N$-body correlations do not in general imply genuine multipartite entanglement
• Extracting work from random collisions: A model of a quantum heat engine
• Joint measurability in nonequilibrium quantum thermodynamics
• Fluctuations of work cost in optimal generation of correlations
• On the distribution of the mean energy in the unitary orbit of quantum states
• On orthogonal bases in the Hilbert-Schmidt space of matrices
• Quantum correlations and ergotropy

Cited by in corpus (21)

• Colloquium: Quantum Batteries
• The battery capacity of energy-storing quantum systems
• Superconducting transmon qubit-resonator quantum battery
• Three-level Dicke quantum battery
• Self-Discharging Mitigated Quantum Battery
• Characterizing entanglement dimensionality from randomized measurements
• Analytically solvable many-body Rosen-Zener quantum battery
• Analysing quantum systems with randomised measurements
• Entanglement-Driven Energy Exchange in a Two-Qubit Quantum Battery
• Bounding entanglement dimensionality from the covariance matrix
• Super-Optimal Charging of Quantum Batteries via Reservoir Engineering
• Trade-offs between precision and fluctuations in charging finite-dimensional quantum batteries
• Heat as a witness of quantum properties
• Collective randomized measurements in quantum information processing
• Non-Markovian N-spin chain quantum battery in thermal charging process
• Parallel ergotropy: Maximum work extraction via parallel local unitary operations
• Role of quantum correlations in daemonic expected utility
• Quantum recharging by shortcut to adiabaticity
• Extractable energy from quantum superposition of current states
• Charging a quantum spin network towards Heisenberg-limited precision
• Some Entanglement Survives Most Measurements