Figure 1 Simulating singlesite and multipartite quantum experiments through real quantum theory

Left: a singlesite quantum experiment.
A complex quantum system in state rho is probed via the measurement {pir}r by Conan.

What is the difference between a complexquantum system and a quantum system that is complex?

One way to reproduce the measurement statistics of this experiment using real quantum theory requires adding an extra real qubit: the state rho is then replaced by the real state rho' in equation (1),

Why does Regina has to introduce an extra qubit in the complexquantum system to make the measurement statistics the same as by Conan?

Right: a multipartite quantum experiment. A complex Bell scenario consists of two particles (or systems) distributed between Alice and Bob, who perform local measurements, labelled by x and y, and get results a and b.

Okay.

A complex Bell scenario consists of two particles (or systems) distributed between Alice and Bob, who perform local measurements, labelled by x and y, and get results a and b.

OKay.
