Finite-time erasing of information stored in fermionic bits

Abstract

We address the issue of minimizing the heat generated when erasing the information stored in an array of quantum dots in finite time. We identify the fundamental limitations and trade-offs involved in this process and analyze how a feedback operation can help improve it.

7 pages, 8 figures, V2 as accepted in PRE

References in corpus (21)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Efficiency at maximum power: An analytically solvable model for stochastic heat engines
• Efficiency at maximum power of low dissipation Carnot engines
• Generalized Jarzynski Equality under Nonequilibrium Feedback Control
• Dissipation: The phase-space perspective
• Second Law of Thermodynamics with Discrete Quantum Feedback Control
• Minimal Energy Cost for Thermodynamic Information Processing: Measurement and Information Erasure
• Stochastic thermodynamics under coarse-graining
• Optimal finite-time processes in stochastic thermodynamics
• Second law and Landauer principle far from equilibrium
• The Three Faces of the Second Law: I. Master Equation Formulation
• Work and information processing in a solvable model of Maxwell's demon
• Quantum-dot Carnot engine at maximum power
• Nonequilibrium Detailed Fluctuation Theorem for Repeated Discrete Feedback
• Refined Second Law of Thermodynamics for fast random processes
• Extracting work from a single heat bath through feedback
• Optimal protocols for minimal work processes in underdamped stochastic thermodynamics
• Thermodynamics of genuine non-equilibrium states under feedback control
• Stochastic thermodynamics for "Maxwell demon" feedbacks
• Finite time thermodynamics for a single level quantum dot
• Dynamical randomness, information, and Landauer's principle

Cited by in corpus (53)

• Quantum and Information Thermodynamics: A Unifying Framework based on Repeated Interactions
• Nonequilibrium Thermodynamics of Chemical Reaction Networks: Wisdom from Stochastic Thermodynamics
• Stochastic thermodynamics of bipartite systems: transfer entropy inequalities and a Maxwell's demon interpretation
• Stochastic thermodynamics of computation
• Finite-time Landauer principle
• The geometry of thermodynamic control
• Thermodynamic and Logical Reversibilities Revisited
• Non-Markovianity and negative entropy production rates
• The dissipation-time uncertainty relation
• Optimal finite-time erasure of a classical bit
• Stochastic thermodynamics with information reservoirs
• Thermoelectric performance of a driven double quantum dot
• Information and thermodynamics: fast and precise approach to Landauer's bound in an underdamped micro-mechanical oscillator
• Stochastic Thermodynamics of Non-Linear Electronic Circuits: A Realistic Framework for Computing around kT
• Universal Bound on Energy Cost of Bit Reset in Finite Time
• Optimal finite-time bit erasure under full control
• Optimal Control of Overdamped Systems
• Optimal protocols for slowly-driven quantum processes
• Correlation-powered Information Engines and the Thermodynamics of Self-Correction
• Work statistics in stochastically driven systems
• Thermodynamics of accuracy in kinetic proofreading: Dissipation and efficiency trade-offs
• Speed limit for a highly irreversible process and tight finite-time Landauer's bound
• Hidden Markov models for stochastic thermodynamics
• Collective advantages in finite-time thermodynamics
• Mutual Entropy-Production and Sensing in Bipartite Systems
• Maximum work extraction and implementation costs for non-equilibrium Maxwell's demons
• Degenerate optimal paths in thermally isolated systems
• Thermodynamic costs of Turing Machines
• Minimally dissipative information erasure in a quantum dot via thermodynamic length
• Quantum effects improve the energy efficiency of feedback control
• Number of hidden states needed to physically implement a given conditional distribution
• Finite-time Landauer principle beyond weak coupling
• Minimal Energy Cost to Initialize a Quantum Bit with Tolerable Error
• Optimality of non-conservative driving for finite-time processes with discrete states
• A space-time tradeoff for implementing a function with master equation dynamics
• Engineered swift equilibration for arbitrary geometries
• Biochemical Szilard engines for memory-limited inference
• Beyond Linear Response: Equivalence between Thermodynamic Geometry and Optimal Transport
• Functional Thermodynamics of Maxwellian Ratchets: Constructing and Deconstructing Patterns, Randomizing and Derandomizing Behaviors
• Optimal control of dissipation and work fluctuations for rapidly driven systems
• Optimized finite-time information machine
• Thermodynamics of majority-logic decoding in information erasure
• Nonequilibrium thermodynamics of uncertain stochastic processes
• Thermodynamics of Encoding and Encoders
• Erasing a majority-logic bit
• Finite time measurements by Unruh-DeWitt detector and Landauer's principle
• Exploiting bias in optimal finite-time copying protocols
• Bit reset protocols that obey activity-constrained speed limits do not minimize work for a given speed
• A Shortcut to Finite-time Memory Erasure
• Revisiting thermodynamics in computation and information theory
• Optimally Fast Qubit Reset
• A thermodynamically consistent model of finite state machines
• Extra cost of erasure due to quantum lifetime broadening