Discrimination of dephasing channels

Rexiti, Milajiguli; Memarzadeh, Laleh; Mancini, Stefano

doi:10.48550/arxiv.2201.00388

Cited by 1 publication

(1 citation statement)

References 12 publications

(16 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A formula for the general case is well known [75], but evaluating it and finding an analytical formula is what remains open. In a forthcoming work [76], we employ a similar approach to establish the ultimate limitations on discrimination and estimation of all bosonic dephasing channels, solving a question posed in part in [77]. In particular, we find that two bosonic dephasing channels N 𝑝 1 and N 𝑝 2 can be discriminated at a rate equal to functions of their underlying probability densities 𝑝 1 and 𝑝 2 .…”

Section: Discussionmentioning

confidence: 96%

Exact solution for the quantum and private capacities of bosonic dephasing channels

Lami¹,

Wilde²

2022

Preprint

View full text Add to dashboard Cite

The capacities of noisy quantum channels capture the ultimate rates of information transmission across quantum communication lines, and the quantum capacity plays a key role in determining the overhead of faulttolerant quantum computation platforms. In the case of bosonic systems, central to many applications, no closed formulas for these capacities were known for bosonic dephasing channels, a key class of non-Gaussian channels modelling, e.g., noise affecting superconducting circuits or fiber-optic communication channels. Here we provide the first exact calculation of the quantum, private, two-way assisted quantum, and secret-key agreement capacities of all bosonic dephasing channels. We prove that that they are equal to the relative entropy of the distribution underlying the channel to the uniform distribution. Our result solves a problem that has been open for over a decade, having been posed originally by [Jiang & Chen, Quantum and Nonlinear Optics 244, 2010].

show abstract

Section: Discussionmentioning

confidence: 96%