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Paper 1

Floquet space exploration for the dual-dressing of a qubit.

Fregosi A, Marinelli C, Gabbanini C, Bevilacqua G, Biancalana V, Arimondo E, Fioretti A.

Year

2023

Journal

Sci Rep

DOI

10.1038/s41598-023-41693-2

arXiv

-

No abstract.

Open paper

Paper 2

Entanglement-assisted Quantum Error Correcting Code Saturating The Classical Singleton Bound

Soham Ghosh, Evagoras Stylianou, Holger Boche

Year

2024

Journal

arXiv preprint

DOI

arXiv:2410.04130

arXiv

2410.04130

We introduce a construction for entanglement-assisted quantum error-correcting codes (EAQECCs) that saturates the classical Singleton bound with less shared entanglement than any known method for code rates below $ \frac{k}{n} = \frac{1}{3} $. For higher rates, our EAQECC also meets the Singleton bound, although with increased entanglement requirements. Additionally, we demonstrate that any classical $[n,k,d]_q$ code can be transformed into an EAQECC with parameters $[[n,k,d;2k]]_q$ using $2k$ pre-shared maximally entangled pairs. The complexity of our encoding protocol for $k$-qudits with $q$ levels is $\mathcal{O}(k \log_{\frac{q}{q-1}}(k))$, excluding the complexity of encoding and decoding the classical MDS code. While this complexity remains linear in $k$ for systems of reasonable size, it increases significantly for larger-levelled systems, highlighting the need for further research into complexity reduction.

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