Those links are what I meant by "some info", along with the "Turbo-diesel" article. I've read them yes, but I can't quite understand them.
Look, it's not hard to understand so long as you understand how a diesel engine works and how a petrol engine works.
"Because diesels do not have fuel in the cylinder before combustion is initiated, more than one bar (100 kPa) of air can be loaded in the cylinder without preignition."
Diesel is less volatile than petrol and so is less prone to knock. Knock is when the fuel-air mixture in the cylinder ignites when it isn't supposed to as a result of the heat it gains when it's compressed. See also ideal gas law: PV=RT.
Practically, this means that diesel engines can have much higher pressures in the cylinders while maintaining control over the combustion process.
"A turbocharged engine can produce significantly more power than a naturally aspirated engine of the same configuration, as having more air in the cylinders allows more fuel to be burned and thus more power to be produced."
This again is quite simple. An engine requires a certain ratio of fuel and air when they mix in the cylinder. This is related to the chemistry of combustion. Forcing more air into the cylinder without adding more fuel is generally not desirable due to the results this "lean mixture" has on the byproducts of combustion and overall efficiency, so when more air is forced into the cylinder more fuel is also added.
This means that there is more energy available to be released, and this energy is then converted into mechanical power as it drives the piston down and turns the crankshaft. This is why boost means more power.
"A supercharger is powered mechanically by the engine's crankshaft, while a turbocharger is powered by the engine exhaust, not requiring any mechanical power. Turbocharging can improve the fuel economy[57] of diesel engines by recovering waste heat from the exhaust, increasing the excess air factor, and increasing the ratio of engine output to friction losses."
This is the key part. Diesel engines are more suited to high temperature operation because they operate much more efficiently when they are warm. Turbocharging takes heat out of the exhaust and warms the incoming air. Intercooling cools the intake air to make it denser, but warm intake air can be better for a diesel because it warms the engine more quickly and keeps it at a good operating temperature.
Additionally, the extra power from turbocharging does not come at the expense of added friction, so the overall effect makes the engine more efficient because less effort is required to overcome internal losses.