Universal quantum limits on single channel information, entropy and heat flow

Abstract

We show that the recently discovered universal upper bound on the thermal conductance of a single channel comprising particles obeying arbitrary fractional statistics is in fact a consequence of a more general universal upper bound, involving the averaged entropy and energy currents of a single channel connecting heat reservoirs with arbitrary temperatures and chemical potentials. The latter upper bound in turn leads, via Holevo's theorem, to a universal (i.e., statistics independent) upper bound on the optimum capacity for classical information transmission down a single, wideband quantum channel.

4 figures added; minor changes to text. To appear in Phys. Rev. A, Vol. 62, Nov. 2000

References in corpus (3)

• Transport properties of quasiparticles with fractional exclusion statistics
• Exclusion statistics: A resolution of the problem of negative weights
• The Holevo bound and Landauer's principle

Cited by in corpus (28)

• Quantum thermal transport in nanostructures
• Limits on Fundamental Limits to Computation
• Quantum limit of heat flow across a single electronic channel
• Single-mode heat conduction by photons
• Colloquium: Quantum heat transport in condensed matter systems
• Single mode heat rectifier: Controlling energy flow between electronic conductors
• Analogue Hawking Radiation in a dc-SQUID Array Transmission Line
• Heating in current carrying molecular junctions
• Measurement of thermal conductance of silicon nanowires at low temperature
• Coherent phonon scattering effects on thermal transport in thin semiconductor nanowires
• Quantum speed limits and the maximal rate of information production
• Nonadiabatic electron heat pump
• Minimal model of a heat engine: An information theory approach
• Path-integral methodology and simulations of quantum thermal transport: Full counting statistics approach
• Surface scattering analysis of phonon transport in the quantum limit using an elastic model
• Quantum bounds on heat transport through nanojunctions
• Analogue Hawking Radiation and Sine-Gordon Soliton in a Superconducting Circuit
• Photon heat transport in low-dimensional nanostructures
• Mesoscopic Electron and Phonon Transport through a Curved Wire
• Non-equilibrium Landauer Transport Model for Hawking radiation from a Black Hole
• Aspects of quantum cooling in electron and atom systems
• Thermodynamics of quantum information in noisy polarizers
• Mesoscopic Quantum Thermo-mechanics: a new frontier of experimental physics
• Saturation of thermal and spin conductances in a dissipative superfluid junction
• One-dimensional quantum channel and Hawking radiation of the Kerr and Kerr-Newman black holes
• Testing the Quantum of Entropy
• Full-counting statistics of information content and heat quantity in the steady state and the optimum capacity
• Breakdown of the Wiedemann-Franz law in an interacting quantum Hall metamaterial