I want to share with you the latest Quantum Odyssey update (I'm the creator, ama..). In a nutshell, this is an interactive way to visualize and play with the full Hilbert space of anything that can be done in "quantum logic". Pretty much any quantum algorithm can be built in and visualized. The learning modules I created cover everything, the purpose of this tool is to get everyone to learn quantum by connecting the visual logic to the terminology and general linear algebra stuff.
Although still in Early Access, now it should be completely bug free and everything works as it should. From now on I'll focus solely on building features requested by players.
Game now teaches:
Linear algebra - vector-matrix multiplication, complex numbers, pretty much everything about SU2 group matrices and their impact on qubits by visually seeing the quantum state vector at all times.
Clifford group (rotations X, Z , S, Y, Hadamard), SX , T and you can see the Kronecker product for any SU2 group combinations up to 2^5 and their impact on any given quantum state for up to 5 qubits in Hilbert space.
All quantum phenomena and quantum algorithms that are the result of what the math implies. Every visual generated on the screen is 1:1 to the linear algebra behind (BV, Grover, Shor..)
Sandbox mode allows absolutely anything to be constructed using both complex numbers and polars.
Now working on setting up some ideas for weekly competitions in-game. Would be super cool if we could have some real use cases that we can split in up to 5 qubit state compilation/ decomposition problems and serve these through tournaments.. but it might be too early lmk if you got ideas.
TL;DR: 60h+ of actual content that takes this a bit beyond even what is regularly though in Quantum Information Science classes Msc level around the world (the game is used by 23 universities in EU via https://digiq.hybridintelligence.eu/ ) and a ton of community made stuff. You can literally read a science paper about some quantum algorithm and port it in the game to see its Hilbert space or ask players to optimize it.