English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Leakage errors take qubits out of the computational subspace and willaccumulate if not addressed. A leaked qubit will reduce the effectiveness ofquantum error correction protocols due to the cost of implementing leakagereduction circuits and the harm caused by interacting leaked states with qubitstates. Ion trap qubits driven by Raman gates have a natural choice betweenqubits encoded in magnetically insensitive hyperfine states that can leak andqubits encoded in magnetically sensitive Zeeman states of the electron spinthat cannot leak. In our previous work, we compared these two qubits in thecontext of the toric code with a depolarizing leakage error model and foundthat for magnetic field noise with a standard deviation less than 32 $\mu$Gthat the $^{174}$Yb$^+$ Zeeman qubit outperforms the $^{171}$Yb$^+$ hyperfinequbit. Here we examine a physically motivated leakage error model based on ionsinteracting via the Molmer-Sorenson gate. We find that this greatly improvesthe performance of hyperfine qubits but the Zeeman qubits are more effectivefor magnetic field noise with a standard deviation less than 10 $\mu$G. Atthese low magnetic fields, we find that the best choice is a mixed qubit schemewhere the hyperfine qubits are the ancilla and the leakage is handled withoutthe need of an additional leakage reduction circuit.

Leakage mitigation for quantum error correction using a mixed qubit scheme