Demonstrating an element of measurement-based quantum error correction
Stefanie Barz, Rui Vasconcelos, Chiara Greganti, Michael Zwerger,, Wolfgang D\"ur, Hans J. Briegel, Philip Walther

TL;DR
This paper demonstrates quantum error detection in measurement-based quantum computing using a four-qubit photonic cluster state, addressing noise effects crucial for realistic quantum computing implementations.
Contribution
It introduces a protocol for quantum error detection in measurement-based quantum computing under noisy conditions, using a photonic cluster state.
Findings
Successful detection of phase errors in a four-qubit photonic cluster state
First demonstration of error detection in measurement-based quantum computing with noise
Analysis of output states after decoding confirms error detection capability
Abstract
In measurement-based quantum computing an algorithm is performed by measurements on highly-entangled resource states. To date, several implementations were demonstrated, all of them assuming perfect noise-free environments. Here we consider measurement-based information processing in the presence of noise and demonstrate quantum error detection. We implement the protocol using a four-qubit photonic cluster state, where we first encode a general qubit non-locally such that phase errors can be detected. We then read out the error syndrome and analyze the output states after decoding. Our demonstration shows a building block for measurement-based quantum computing which is crucial for realistic scenarios.
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