Progress towards practical qubit computation using approximate Gottesman-Kitaev-Preskill codes

Understand

Encoding a qubit in the continuous degrees of freedom of an oscillator is a promising path to error-corrected quantum computation.

• One advantageous way to achieve this is through Gottesman-Kitaev-Preskill (GKP) grid states, whose symmetries allow for the correction of any small continuous error on the oscillator.
• Unfortunately, ideal grid states have infinite energy, so it is important to find finite-energy approximations that are realistic, practical, and useful for applications.
• In the first half of this work we investigate the impact of imperfect GKP states on computational circuits independently of the physical architecture.