The Classical Capacity of a Quantum Erasure Queue-Channel

06/04/2019
by   Prabha Mandayam, et al.
0

We consider a setting where a stream of qubits is processed sequentially. We derive fundamental limits on the rate at which classical information can be transmitted using qubits that decohere as they wait to be processed. Specifically, we model the sequential processing of qubits using a single server queue, and derive expressions for the classical capacity of such a quantum `queue-channel.' Focusing on quantum erasures, we obtain an explicit single-letter capacity formula in terms of the stationary waiting time of qubits in the queue. Our capacity proof also implies that a `classical' coding/decoding strategy is optimal, i.e., an encoder which uses only orthogonal product states, and a decoder which measures in a fixed product basis, are sufficient to achieve the classical capacity of the quantum erasure queue-channel. More broadly, our work begins to quantitatively address the impact of decoherence on the performance limits of quantum information processing systems.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
04/03/2018

Qubits through Queues: The Capacity of Channels with Waiting Time Dependent Errors

We consider a setting where qubits are processed sequentially, and deriv...
research
06/09/2022

The Classical Capacity of Quantum Jackson Networks with Waiting Time-Dependent Erasures

We study the fundamental limits of classical communication using quantum...
research
10/06/2021

Unital Qubit Queue-channels: Classical Capacity and Product Decoding

Quantum queue-channels arise naturally in the context of buffering in qu...
research
07/28/2021

Queue-Channel Capacities with Generalized Amplitude Damping

The generalized amplitude damping channel (GADC) is considered an import...
research
01/07/2022

Analytical calculation formulas for capacities of classical and classical-quantum channels

We derive an analytical calculation formula for the channel capacity of ...
research
05/07/2023

Capacity Achieving Codes for an Erasure Queue-Channel

We consider a queue-channel model that captures the waiting time-depende...
research
01/03/2021

Capacities of Gaussian Quantum Channels with Passive Environment Assistance

Passive environment assisted communication takes place via a quantum cha...

Please sign up or login with your details

Forgot password? Click here to reset