Inner bounds via simultaneous decoding in quantum network information theory

06/19/2018
by   Pranab Sen, et al.
0

We prove new inner bounds for several multiterminal channels with classical inputs and quantum outputs. Our inner bounds are all proved in the one-shot setting, and are natural analogues of the best classical inner bounds for the respective channels. For some of these channels, similar quantum inner bounds were unknown even in the asymptotic iid setting. We prove our inner bounds by appealing to a new classical-quantum joint typicality lemma proved in a companion paper ("A one-shot quantum joint typicality lemma", Pranab Sen, In preparation). This lemma allows us to lift to the quantum setting many inner bound proofs for classical multiterminal channels that use intersections and unions of typical sets.

READ FULL TEXT
research
05/13/2021

One-shot inner bounds for sending private classical information over a quantum MAC

We provide the first inner bounds for sending private classical informat...
research
06/19/2018

A one-shot quantum joint typicality lemma

A fundamental tool to prove inner bounds in classical network informatio...
research
05/24/2016

Inductive supervised quantum learning

In supervised learning, an inductive learning algorithm extracts general...
research
02/02/2021

Novel one-shot inner bounds for unassisted fully quantum channels via rate splitting

We prove the first non-trivial one-shot inner bounds for sending quantum...
research
03/30/2022

Centralised multi link measurement compression with side information

We prove new one shot achievability results for measurement compression ...
research
01/06/2023

Quantum Multiple Access Wiretap Channel: On the One-Shot Achievable Secrecy Rate Regions

In this paper, we want to investigate classical-quantum multiple access ...
research
09/26/2018

A Quantum Multiparty Packing Lemma and the Relay Channel

Optimally encoding classical information in a quantum system is one of t...

Please sign up or login with your details

Forgot password? Click here to reset