Performing Quantum Measurement in Suitably Entangled States Originates the Quantum Computation Speed Up

TL;DR

This paper introduces a local speed-up concept in quantum algorithms, analyzing how quantum parallelism and measurement contribute to computational speed-up, and discusses conflicts with the many worlds interpretation.

Contribution

It presents a new local measure of quantum speed-up and examines the roles of entanglement, measurement, and interpretation conflicts in quantum computation.

Findings

Quantum measurement in entangled states can produce computational speed-up.

A conflict exists between quantum speed-up and the many worlds interpretation.

The analysis clarifies the roles of quantum parallelism and measurement in speed-up.

Abstract

We introduce a local concept of speed-up applicable to intermediate stages of a quantum algorithm. We use it to analyse the complementary roles played by quantum parallel computation and quantum measurement in yielding the speed-up. A severe conflict between there being a speed-up and the many worlds interpretation is highlighted.