Capacities of Quantum Channels for Massive Bosons and Fermions

Abstract

We consider the capacity of classical information transfer for noiseless quantum channels carrying a finite average number of massive bosons and fermions. The maximum capacity is attained by transferring the Fock states generated from the grand-canonical ensemble. Interestingly, the channel capacity for a Bose gas indicates the onset of a Bose-Einstein condensation, by changing its qualitative behavior at the criticality, while for a channel carrying weakly attractive fermions, it exhibits the signatures of Bardeen-Cooper-Schrieffer transition. We also show that for noninteracting particles, fermions are better carriers of information than bosons.

4 pages, 3 eps figures, RevTeX4; v2: discussions added, small changes, published version

References in corpus (3)

• Minimum output entropy of bosonic channels: a conjecture
• Transporting, splitting and merging of atomic ensembles in a chip trap
• Distillation protocols: Output entanglement and local mutual information

Cited by in corpus (10)

• Energy-constrained private and quantum capacities of quantum channels
• Entanglement enhanced classical capacity of quantum communication channels with correlated noise in arbitrary dimensions
• Entanglement-enhanced classical capacity of two-qubit quantum channels with memory: the exact solution
• Spectral properties of reduced fermionic density operators and parity superselection rule
• Canonical Leggett-Garg Inequality: Nonclassicality of temporal quantum correlations under energy constraint
• Degradability of Fermionic Gaussian Channels
• Canonical Distillation of Entanglement
• Capacities of noiseless quantum channels for massive indistinguishable particles: Bosons vs. fermions
• Entanglement may enhance the channel capacity in arbitrary dimensions
• Universal quantum uncertainty relations: minimum-uncertainty wave packet depends on measure of spread