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 (9)

• Second Law of Thermodynamics with Discrete Quantum Feedback Control
• Observation of Radiation Pressure Shot Noise on a Macroscopic Object
• Irreversible entropy production, from quantum to classical
• Quantum Circuits Architecture
• Operational Markov condition for quantum processes
• The role of quantum measurement in stochastic thermodynamics
• Simulation of indivisible qubit channels in collision models
• Quantum jumps and entropy production
• Thermodynamics of Quantum Causal Models: An Inclusive, Hamiltonian Approach

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