Entanglement-fidelity relations for inaccurate ancilla-driven quantum computation

TL;DR

This paper establishes a relationship between entanglement levels and gate fidelity in inaccurate ancilla-driven quantum computation, showing that higher entanglement can lead to lower fidelity under measurement inaccuracies.

Contribution

The paper extends entanglement-fidelity relations from one-way to ancilla-driven quantum computation, highlighting the impact of entanglement on gate fidelity with measurement errors.

Findings

Strong entanglement reduces gate fidelity with inaccurate measurements

Derived bounds relate entanglement to fidelity in ancilla-driven models

Results suggest entanglement management is crucial for reliable quantum computation

Abstract

It was shown in [T. Morimae, Phys. Rev. A {\bf81}, 060307(R) (2010)] that the gate fidelity of an inaccurate one-way quantum computation is upper bounded by a decreasing function of the amount of entanglement in the register. This means that a strong entanglement causes the low gate fidelity in the one-way quantum computation with inaccurate measurements. In this paper, we derive similar entanglement-fidelity relations for the inaccurate ancilla-driven quantum computation. These relations again imply that a strong entanglement in the register causes the low gate fidelity in the ancilla-driven quantum computation if the measurements on the ancilla are inaccurate.