This depends entirely on what you mean by "energy equivalent." If you're talking about the amount of the fuel that would be needed to provide a given amount of electrical power with current technology, then the answer is no, they are not equivalent. Given the infographic's discussion of "powering a city," it is suggesting this interpretation, as this is the only meaningful interpretation for how a city might be powered.
On the other hand, if you're merely asking about how much energy we can get out of the fuel if we don't care about things like, say, destroying the city in which the reaction takes place or getting any useful electrical power from the reaction, the amount of energy is actually underestimated a bit for the fusion, though the order of magnitude is accurate. So, if you're more concerned with destroying a city than with powering it, fusion is a great choice.
Fusion for Electrical Power
Theoretically speaking, fusion power production would be great. There's lots of fuel available, the energy density is greater than even nuclear fission, and it doesn't produce as much radioactive waste. Unfortunately, however, as of 2017, despite about 6-7 decades of research, no one has yet been able to build a nuclear fusion reactor that produces positive net energy.
The reason for this is that fusion reactions generally require very large amounts of input energy both to create the plasma stream and to contain it. Lots of various designs have been proposed and/or tried in order to increase the ratio of produced power to input power, but, to date, none have reached a ratio of 1 or more, thus, all have produced negative net energy. Obviously, this is not very helpful when attempting to power a city. The infographic is being quite misleading by leaving out this little detail.
Of course, this is not to suggest that further research will not eventually create a fusion reactor that produces positive net energy. It's entirely possible (and, IMO, likely) that we'll eventually have a working design. But we've currently been unable to demonstrate a working prototype, so it's not a matter of just building a bunch of fusion plants today.
Fuel Specific Energy
The Specific Energy of a fuel is its ratio of stored energy to mass, without any regard to how much external energy may be required to actually do something productive with the fuel.
Wikipedia lists the specific energies for many fuels in megajoules (MJ) of energy per kilogram (kg) of fuel mass:
- Deuterium-Tritium: 340,000,000 MJ/kg
- Coal: 24-35 MJ/kg
- Diesel fuel: 48 MJ/kg
- Gasoline: 46.4 MJ/kg
Using these numbers, we find that 60 kg of Deuterium-Tritium fuel stores the same amount of potential energy as (340,000,000 / 48) * 60 = 425,000,000 kg = 425,000 metric tonnes of Diesel.
For coal (being generous and assuming 35 MJ/kg for the coal,) the calculation is (340,000,000 / 35) * 60 = approximately 580,000,000 kg = approximately 580,000 metric tons of coal.
For gasoline, it's (340,000,000 / 46.4) * 60 = approximately 440,000,000 kg or 440,000 metric tons of gasoline.
The massive specific energy of fusion fuels is what allows us to construct fusion-based bombs. In the case of a bomb controlling and containing the reaction aren't primary concerns, since the whole point is to destroy everything nearby anyway in most cases. However, we unfortunately can't ignore those things when building a power plant.
tl;dr The infographic is more or less correct about the ratio of specific energies, but is incorrect in suggesting that we could use those amounts of fuel to actually provide electrical power to an equivalent market with present-day technology.