Can local dynamics enhance entangling power?

Understand

It is demonstrated here that local dynamics have the ability to strongly modify the entangling power of unitary quantum gates acting on a composite system.

• The scenario is common to numerous physical systems, in which the time evolution involves local operators and nonlocal interactions.
• To distinguish between distinct classes of gates with zero entangling power we introduce a complementary quantity called gate-typicality and study its properties.
• Analyzing multiple applications of any entangling operator interlaced with random local gates, we prove that both investigated quantities approach their asymptotic values in a simple exponential form.