Entangling power and operator entanglement in qudit systems

Preprint

17 February 2003

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.quant-ph/0210156

Abstract

We establish the entangling power of a unitary operator on a general finite-dimensional bipartite quantum system with and without ancillas, and give relations between the entangling power based on the von Neumann entropy and the entangling power based on the linear entropy. Significantly, we demonstrate that the entangling power of a general controlled unitary operator acting on two equal-dimensional qudits is proportional to the corresponding operator entanglement if linear entropy is adopted as the quantity representing the degree of entanglement. We discuss the entangling power and operator entanglement of three representative quantum gates on qudits: the SUM, double SUM, and SWAP gates.

Keywords

All Related Versions

Version 1, 2002-10-23, ArXiv
Version 2, 2003-02-03, ArXiv
Version 3, 2003-02-17, ArXiv
Published version: Physical Review A, 67 (4), 042323.

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