Quantum computation by teleportation and symmetry

TL;DR

This paper explores how measurement-based quantum computation leverages symmetry and topological phases of quantum matter, analyzing teleportation and tensor-network states for universal quantum computing.

Contribution

It provides a preliminary overview of the role of symmetry and topological phases in measurement-based quantum computation, highlighting the connection with tensor-network states.

Findings

Teleportation and symmetry enable universal quantum computation.

Tensor-network states are key to understanding measurement-based quantum computation.

Symmetry and phases of quantum matter influence fault tolerance in quantum computing.

Abstract

A preliminary overview of measurement-based quantum computation in the setting of symmetry and topological phases of quantum matter is given. The underlying mechanism for universal quantum computation by teleportation or symmetry are analyzed, with the emphasis on the relation with tensor-network states in the presence of various symmetries. Perspectives are also given for the role of symmetry and phases of quantum matter in measurement-based quantum computation and fault tolerance.