A family of [[6k, 2k, 2]] codes for practical, scalable adiabatic quantum computation

Understand

In this work, we introduce a new family of [[6k, 2k, 2]] codes designed specifically to be compatible with adiabatic quantum computation.

• These codes support computationally universal sets of weight-two logical operators and are particularly well-suited for implementing dynamical decoupling error suppression.
• For Hamiltonians embeddable on a planar graph of fixed degree, our encoding maintains a planar connectivity graph and increase the graph degree by only two.
• These codes are the first known to possess these features.