Quantum Computers can solve puzzles that we yet not can imagine. They might not be in traditional computing any faster than a desktop computer, but with a bit length of 512 qubits instead of 64 bit it can solve mathematical equations faster because it need to to take fewer steps to come to the answer.
http://en.wikipedia.org/wiki/Qubit
http://en.wikipedia.org/wiki/Quantum_computing
http://en.wikipedia.org/wiki/Quantum
A 64 bit computer can only store a value of maximum 9,223,372,036,854,775,807 (32-bit computer can store 231−1, or 2,147,483,647)
http://en.wikipedia.org/wiki/9223372036854775807
a 512 bit computer would store 2^511 = 6,7039039649712985497870124991029e+153
that is: 6 703 903 964 971 300 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000,00
This opens up for higher memory addressing and addressing locations in Planck scale in physics simulation: http://en.wikipedia.org/wiki/Planck_scale
A 512-bit CPU would be capable of addressing 384 Yottabytes.
Hence, a processor with 64-bit memory addresses can directly access 2^64 bytes (=16 exbibytes) of byte-addressable memory.
The use of it might not be obvious to start with but it can be used in areas like: simulated reality/physics simulation high resolution MRI images, and for stem cell research it can hold the values needed.
Here is one manufacture of Quantum Computers http://www.dwavesys.com/
http://en.wikipedia.org/wiki/D-Wave_Systems
System is said to cost $ 10 million USD.