Lattice Surgery Translation for Quantum Computation

TL;DR

This paper presents a compiler method to translate non-fault-tolerant quantum circuits into lattice surgery error-correcting code representations, enabling modular and potentially more practical quantum computation.

Contribution

It introduces a novel translation technique for quantum circuits into lattice surgery models, including state distillation procedures, highlighting its potential as an alternative to braiding.

Findings

Resource requirements are comparable to defect-based methods.

The translation method supports modularity and implementation.

Lattice surgery offers a promising alternative for quantum error correction.

Abstract

In this paper we outline a method for a compiler to translate any non fault tolerant quantum circuit to the geometric representation of the lattice surgery error-correcting code using inherent merge and split operations. Since the efficiency of state distillation procedures has not yet been investigated in the lattice surgery model, their translation is given as an example using the proposed method. The resource requirements seem comparable to the defect-based state distillation process, but modularity and eventual implementability allow the lattice surgery model to be an interesting alternative to braiding.