Calderbank-Shor-Steane holographic quantum error-correcting codes

Robert J. Harris, Nathan McMahon, Gavin K. Brennen, Thomas M. Stace

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

We expand the class of holographic quantum error-correcting codes by developing the notion of block perfect tensors, a wider class that includes previously defined perfect tensors. The relaxation of this constraint opens up a range of other holographic codes. We demonstrate this by introducing the self-dual Calderbank-Shor-Steane (CSS) heptagon holographic code, based on the 7-qubit Steane code. Finally, we show promising thresholds for the erasure channel by applying a straightforward, optimal erasure decoder to the heptagon code and benchmark it against existing holographic codes.
Original languageEnglish
Article number052301
Pages (from-to)1-6
Number of pages6
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume98
Issue number5
DOIs
Publication statusPublished - 1 Nov 2018

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