Recovery Operator for Local Errors Generated by Gauge Multiplets

Abstract

The components of a quantum computer are quantum subsystems which have a complex internal structure. This structure is determined by short-range interactions which are appropriately described in terms of local gauge fields of the first kind. Any modification of their state would produce, in general, a new type of internal error, called local error, in the quantum state of the computer. We suggest that the general treatement of the local errors produced by a gauge multiplet can be done in the framework of the Algebraic Quantum Field Theory. A recovery operator is constructed from the first principles.