Landauer Principle and Thermodynamics of Computation

Abstract

According to the Landauer principle, any logically irreversible process accompanies entropy production, which results in heat dissipation in the environment. Erasing of information, one of the primary logically irreversible processes, has a lower bound on heat dissipated into the environment, called the Landauer bound (LB). However, the practical erasure processes dissipate much more heat than the LB. Recently, there have been a few experimental investigations to reach this bound both in the classical and quantum domains. There has also been a spate of activities to enquire about this LB in finite time, with finite-size heat baths, non-Markovian and nonequilibrium environments in the quantum regime, where the effects of fluctuations and correlation of the systems with the bath can no longer be ignored. This article provides a comprehensive review of the recent progress on the Landauer bound, which serves as a fundamental principle in the thermodynamics of computation. We also provide a perspective for future endeavors in these directions. Furthermore, we review the recent explorations toward establishing energetic bounds of a computational process. We also discuss the thermodynamic aspects of error correction, which is an indispensable part of information processing and computations. In doing so, we briefly discuss the basics of these fields to provide a complete picture.

References in corpus (37)

• Thermodynamic uncertainty relation for biomolecular processes
• Quantum random access memory
• Efficient quantum state tomography
• The Physics of Maxwell's demon and information
• Dissipation: The phase-space perspective
• Quantum speed limits in open system dynamics
• Second Law of Thermodynamics with Discrete Quantum Feedback Control
• High-precision test of Landauer's principle in a feedback trap
• Optimal finite-time processes in stochastic thermodynamics
• Experimental Test of Quantum Jarzynski Equality with a Trapped Ion System
• Ensemble and Trajectory Thermodynamics: A Brief Introduction
• Work and information processing in a solvable model of Maxwell's demon
• Efficient Distributed Quantum Computing
• Geometric derivation of the quantum speed limit
• Thermodynamic costs of information processing in sensory adaption
• Thermodynamics of feedback controlled systems
• Employing trapped cold ions to verify the quantum Jarzynski equality
• Quenching Dynamics of a quantum XY spin-1/2 chain in presence of a transverse field
• Finite-time Landauer principle
• Implications of non-Markovian dynamics for the Landauer bound
• Characterization of dynamical phase transitions in quantum jump trajectories beyond the properties of the stationary state
• Exact master equation for a spin interacting with a spin bath: Non-Markovianity and negative entropy production rate
• Optimal driving of isothermal processes close to equilibrium
• Stochastic thermodynamics with information reservoirs
• Erasure without work in an asymmetric, double-well potential
• Information erasure without an energy cost
• Optimal finite-time bit erasure under full control
• Information and entropy in quantum Brownian motion: Thermodynamic entropy versus von Neumann entropy
• Electronic heat flow and thermal shot noise in quantum circuits
• The Second Laws for an Information driven Current through a Spin Valve
• Relaxation due to random collisions with a many-qudit environment
• Relations between Entropies Produced in Nondeterministic Thermodynamic Processes
• Span programs and quantum algorithms for st-connectivity and claw detection
• Thermodynamic Constraints on Quantum Information Gain and Error Correction: A Triple Trade-Off
• Nonequilibrium quantum bounds to Landauer's principle: Tightness and effectiveness
• Landauer Bound for Analog Computing Systems
• Erasing a majority-logic bit

Cited by in corpus (5)

• Hamiltonian quantum gates -- energetic advantage from entangleability
• Enhancing the Performances of Autonomous Quantum Refrigerators via Two-Photon Transitions
• Information Processing in Quantum Thermodynamic Systems: an Autonomous Hamiltonian Approach
• Correlations in a quantum switch-based heat engine with measurements: A proof-of-principle demonstration
• Improving the efficiency of finite-time memory erasure with potential barrier shaping