Work fluctuations and entanglement in quantum batteries
arXiv:2205.08447 · doi:10.1103/PhysRevA.107.022215
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.
16 pages, 3 figures
References in corpus (20)
- Entanglement detection
- Fluctuation theorems: Work is not an observable
- Bloch vectors for qudits
- Entanglement Certification From Theory to Experiment
- Work measurement as a generalized quantum measurement
- Thermodynamic cost of creating correlations
- Measuring Multipartite Concurrence with a Single Factorizable Observable
- Holevo's bound from a general quantum fluctuation theorem
- The thermodynamics of creating correlations: Limitations and optimal protocols
- Characterizing multipartite entanglement without shared reference frames
- Measuring work and heat in ultracold quantum gases
- Quasiprobabilistic Interpretation of Weak measurements in Mesoscopic Junctions
- Determination of the Schmidt number
- Quantum machines powered by correlated baths
- Bound on Ergotropic Gap for Bipartite Separable States
- Random Matrix Theory of the Isospectral twirling
- Relaxation due to random collisions with a many-qudit environment
- Optimal local work extraction from bipartite quantum systems in the presence of Hamiltonian couplings
- 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