Efficient Quantum Circuits for Accurate State Preparation of Smooth, Differentiable Functions

Understand

Effective quantum computation relies upon making good use of the exponential information capacity of a quantum machine.

• A large barrier to designing quantum algorithms for execution on real quantum machines is that, in general, it is intractably difficult to construct an arbitrary quantum state to high precision.
• Many quantum algorithms rely instead upon initializing the machine in a simple state, and evolving the state through an efficient (i.e.
• at most polynomial-depth) quantum algorithm.