Matrix rearrangement approach for the entangling power with mixed qudit systems
Xiao-Ming Lu, Xiaoguang Wang, Yang Yang, and Jian Chen
TL;DR
This paper extends a matrix rearrangement method to evaluate the entangling power of unitary operators in mixed qudit systems of arbitrary dimensions, using realignment and partial transposition techniques.
Contribution
It introduces a generalized approach to compute entangling power without dimension restrictions, applicable to mixed qudit systems.
Findings
Calculated entangling power for Ising interaction
Analyzed entangling power for isotropic Heisenberg interaction
Extended matrix rearrangement method to mixed qudit systems
Abstract
We extend the former matrix rearrangement approach of the entangling power to the general cases, without the requirement of the same dimensions of the subsystems. The entangling power of a unitary operator is completely determined by its realignment and partial transposition. As applications, we calculate the entangling power for the Ising interaction and the isotropic Heisenberg interaction in the mixed qudit system.
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Taxonomy
TopicsQuantum Information and Cryptography · Quantum many-body systems · Quantum Computing Algorithms and Architecture