The geometry of non-additive stabiliser codes

Abstract

We present a geometric framework for constructing additive and non-additive stabiliser codes which encompasses stabiliser codes and graphical non-additive stabiliser codes.

A Novel Approach for Asymmetric Quantum Error Correction With Syndrome Measurement

“…Other QEC codes are developed using real time feed back encoding [14], Pauli to binary conversions [15], transversal gates [16]. Along with these, surface codes [17], fault tolerant error correction using surface Gottesman-KitaevPreskill (GKP) code [18], [19] with reduced gate error and additive, non-additive quantum codes [20], entanglement assisted codes [21], [22] were also implemented for error correction. The Holonomic based quantum error correction [23] for nontrivial and matrix valued quantum states has been proposed for universal quantum computation.…”