Informational steady-states and conditional entropy production in continuously monitored systems

Abstract

We put forth a unifying formalism for the description of the thermodynamics of continuously monitored systems, where measurements are only performed on the environment connected to a system. We show, in particular, that the conditional and unconditional entropy production, which quantify the degree of irreversibility of the open system's dynamics, are related to each other by the Holevo quantity. This, in turn, can be further split into an information gain rate and loss rate, which provide conditions for the existence of informational steady-states (ISSs), i.e. stationary states of a conditional dynamics that are maintained owing to the unbroken acquisition of information. We illustrate the applicability of our framework through several examples.

References in corpus (46)

• Introducing Quantum Discord
• Information heat engine: converting information to energy by feedback control
• Entropy production as correlation between system and reservoir
• Second Law of Thermodynamics with Discrete Quantum Feedback Control
• Experimental realization of a Szilard engine with a single electron
• Observation of Radiation Pressure Shot Noise on a Macroscopic Object
• Irreversible entropy production, from quantum to classical
• Quantum Circuits Architecture
• Non-Markovian quantum processes: complete framework and efficient characterisation
• To catch and reverse a quantum jump mid-flight
• IBM Q Experience as a versatile experimental testbed for simulating open quantum systems
• Thermalizing Quantum Machines: Dissipation and Entanglement
• On the Local and Global Approaches to Quantum Transport and Violation of the Second-law of Thermodynamics
• Operational Markov condition for quantum processes
• Fluctuation Theorem with Information Exchange: Role of Correlations in Stochastic Thermodynamics
• Observing a quantum Maxwell demon at work
• Reconciliation of quantum local master equations with thermodynamics
• The role of quantum measurement in stochastic thermodynamics
• Quantum Measurement Cooling
• Information Thermodynamics on Causal Networks
• The thermodynamic cost of driving quantum systems by their boundaries
• Quantum Trajectory Approach to the Stochastic Thermodynamics of a Forced Harmonic Oscillator
• Information gain and loss for a quantum Maxwell's demon
• Master equations for correlated quantum channels
• Thermodynamics of weakly coherent collisional models
• Qubit models of weak continuous measurements
• Simulation of indivisible qubit channels in collision models
• Observing and Verifying the Quantum Trajectory of a Mechanical Resonator
• Role of Mutual Information in Entropy Production under Information Exchanges
• Integral Quantum Fluctuation Theorems under Measurement and Feedback control
• Thermodynamics of weakly measured quantum systems
• An operational approach to quantum stochastic thermodynamics
• Quantum jumps and entropy production
• Overwhelming thermomechanical motion with microwave radiation pressure shot noise
• Heat and work along individual trajectories of a quantum bit
• Thermodynamics of continuous non-Markovian feedback control
• Experimental characterization of the energetics of quantum logic gates
• Non Markovian Quantum Repeated Interactions and Measurements
• Work as an external quantum observable and an operational quantum work fluctuation theorem
• Quantum fluctuation theorem to benchmark quantum annealers
• Experimental assessment of entropy production in a continuously measured mechanical resonator
• Entropy Production in Continuously Measured Gaussian Quantum Systems
• Heat, Work and Energy Currents in the Boundary-Driven XXZ Spin Chain
• Thermodynamics of Quantum Causal Models: An Inclusive, Hamiltonian Approach
• Stochastic thermodynamics with arbitrary interventions
• Conditional work statistics of quantum measurements

Cited by in corpus (18)

• Quantum collision models: open system dynamics from repeated interactions
• Current fluctuations in open quantum systems: Bridging the gap between quantum continuous measurements and full counting statistics
• Daemonic ergotropy in continuously-monitored open quantum batteries
• Charging by quantum measurement
• Fisher information of correlated stochastic processes
• Battery charging in collision models with Bayesian risk strategies
• Dynamical heat engines with non--Markovian reservoirs
• Quantum Fluctuation Theorem under Continuous Measurement and Feedback
• Experimental simulation of daemonic work extraction in open quantum batteries on a digital quantum computer
• Conditional entropy production and quantum fluctuation theorem of dissipative information: Theory and experiments
• Informational steady-states and conditional entropy production in continuously monitored systems: the case of Gaussian systems
• Queued quantum collision models
• Artificially intelligent Maxwell's demon for optimal control of open quantum systems
• From basic science to technological development: the case for two avenues
• Information entropy and temperature of the binary Markov chains
• Daemonic ergotropy of Gaussian quantum states and the role of measurement-induced purification via general-dyne detection
• Boosting Work Extraction in Quantum Batteries via Continuous Environment Monitoring
• Quantum thermodynamics under continuous monitoring: a general framework