Coherent control and distinguishability of quantum channels via PBS-diagrams

03/02/2021
by   Cyril Branciard, et al.
0

We introduce a graphical language for coherent control of general quantum channels inspired by practical quantum optical setups involving polarising beam splitters (PBS). As standard completely positive trace preserving maps are known not to be appropriate to represent coherently controlled quantum channels, we propose to instead use purified channels, an extension of Stinespring's dilation. We characterise the observational equivalence of purified channels in various coherent-control contexts, paving the way towards a faithful representation of quantum channels under coherent control.

READ FULL TEXT

page 1

page 5

page 7

page 9

page 11

page 13

page 14

page 17

research
09/22/2017

Quantum Memristors in Quantum Photonics

We propose a method to build quantum memristors in quantum photonic plat...
research
05/13/2021

Detecting positive quantum capacities of quantum channels

Using elementary techniques from analytic perturbation theory of Hermiti...
research
01/24/2023

The superadditivity effects of quantum capacity decrease with the dimension for qudit depolarizing channels

Quantum channel capacity is a fundamental quantity in order to understan...
research
07/01/2021

Coherent information of a quantum channel or its complement is generically positive

The task of determining whether a given quantum channel has positive cap...
research
07/31/2022

Quantum networks with coherent routing of information through multiple nodes

Large-scale communication networks, such as the internet, achieve the tr...
research
01/28/2020

Real-time calibration of coherent-state receivers: learning by trial and error

The optimal discrimination of coherent states of light with current tech...
research
05/19/2023

Concrete Quantum Channels and Algebraic Structure of Abstract Quantum Channels

Construction and testing of preconditioners of Toeplitz/block Toeplitz m...

Please sign up or login with your details

Forgot password? Click here to reset