Entangling power and operator entanglement in qudit systems

Details Entangling power and operator entanglement in qudit systems Entangling power and operator entanglement in qudit systems

2002-10-23

arxiv.org/abs/quant-ph/0210156v3

Phys. Rev. A 67, 042323 (2003).

Physics

Quantum Physics

8 pages, 1 figure. Version 3: Figure was improved and the MS was a bit shortened

Scientific paper

10.1103/PhysRevA.67.042323

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.

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