Optimal finite-time bit erasure under full control

Abstract

We study the finite-time erasure of a one-bit memory consisting of a one-dimensional double-well potential, with each well encoding a memory macrostate. We focus on setups that provide full control over the form of the potential-energy landscape and derive protocols that minimize the average work needed to erase the bit over a fixed amount of time. We allow for cases where only some of the information encoded in the bit is erased. For systems required to end up in a local equilibrium state, we calculate the minimum amount of work needed to erase a bit explicitly, in terms of the equilibrium Boltzmann distribution corresponding to the system's initial potential. The minimum work is inversely proportional to the duration of the protocol. The erasure cost may be further reduced by relaxing the requirement for a local-equilibrium final state and allowing for any final distribution compatible with constraints on the probability to be in each memory macrostate. We also derive upper and lower bounds on the erasure cost.

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• Universal Bound on Energy Cost of Bit Reset in Finite Time
• Optimal Control in Stochastic Thermodynamics
• Speed limit for a highly irreversible process and tight finite-time Landauer's bound
• Geometric thermodynamics for the Fokker-Planck equation: Stochastic thermodynamic links between information geometry and optimal transport
• Minimally dissipative information erasure in a quantum dot via thermodynamic length
• Fundamental energy cost of finite-time computing
• Limited-control optimal protocols arbitrarily far from equilibrium
• 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
• Landauer Principle and Thermodynamics of Computation
• Beyond Linear Response: Equivalence between Thermodynamic Geometry and Optimal Transport
• Refining Landauer's Stack: Balancing Error and Dissipation When Erasing Information
• Optimal Control of Underdamped Systems: An Analytic Approach
• Inverse linear versus exponential scaling of work penalty in finite-time bit reset
• Quality of the Thermodynamic Uncertainty Relation for Fast and Slow Driving
• Inferring entropy production from time-dependent moments
• Hamiltonian Memory: An Erasable Classical Bit
• Geometric Brownian Information Engine: Essentials for the best performance
• Erasing a majority-logic bit
• Simulation of reversible molecular mechanical logic gates and circuits
• Experimentally achieving minimal dissipation via thermodynamically optimal transport
• Work statistics at first-passage times
• Phase shift in periodically driven non-equilibrium systems: Its identification and a bound
• A Shortcut to Finite-time Memory Erasure
• Increasing the clock speed of a thermodynamic computer by adding noise
• Optimally Fast Qubit Reset
• Improving the efficiency of finite-time memory erasure with potential barrier shaping
• Extra cost of erasure due to quantum lifetime broadening
• Optimal control of bit erasure in stochastic random access memory