Qubit-qunit decomposition of quantum channel
Constantin V. Usenko

TL;DR
This paper introduces a method using ladder operators to classify parallel quantum channels, providing detailed analysis and examples, and establishing relations between eigenvalues and entanglement in composite channels.
Contribution
It presents a detailed ladder operator approach for classifying quantum channels and explores eigenvalue relations related to entanglement in composite systems.
Findings
Relations between eigenvalues and entanglement are established.
Examples of paired channels and qubit-qunit systems are provided.
Method enhances understanding of quantum channel classification.
Abstract
Problem of classification of parallel quantum channels for information transfer is studied by method of ladder operators. Detailed compared to http://arxiv.org/abs/quant-ph/0702076 presentation of method of ladder operators is given. Examples of paired channel and qubit-qunit pair are added. Relations between eigenvalues of density matrices of composite channel and its subchannels determining presence/absence of entanglement of arbitrary mixed state of channel are obtained.
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Taxonomy
TopicsQuantum Information and Cryptography · Quantum Computing Algorithms and Architecture · Quantum Mechanics and Applications
