Capacities of Grassmann channels

TL;DR

This paper introduces Grassmann channels, a new quantum channel class, and calculates their capacities, comparing them with bosonic channels, and questions the use of entanglement measures for capacity assessment in different quantum systems.

Contribution

It introduces Grassmann channels and computes their classical and quantum capacities, providing a novel comparison with bosonic channels and challenging existing assessment methods.

Findings

Grassmann channels are introduced and characterized.

Capacities of Grassmann channels are explicitly calculated.

The relevance of entanglement measures for capacity comparison is questioned.

Abstract

A new class of quantum channels called Grassmann channels is introduced and their classical and quantum capacity is calculated. The channel class appears in a study of the two-mode squeezing operator constructed from operators satisfying the fermionic algebra. We compare Grassmann channels with the channels induced by the bosonic two-mode squeezing operator. Among other results, we challenge the relevance of calculating entanglement measures to assess or compare the ability of bosonic and fermionic states to send quantum information to uniformly accelerated frames.