Quantum Insertion-Deletion Channels

Janet Leahy; Dave Touchette; Penghui Yao

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arXiv · 1901.00984

Quantum Insertion-Deletion Channels

Janet Leahy·Dave Touchette·Penghui Yao

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Abstract

We introduce a model of quantum insertion-deletion (insdel) channels. Insdel channels are meant to represent, for example, synchronization errors arising in data transmission. In the classical setting, they represent a strict generalization of the better-understood corruption error channels, and until recently, had mostly resisted effort toward a similar understanding as their corruption counterparts. They have received considerable attention in recent years. Very recently, Haeupler and Shahrasbi developed a framework, using what they call synchronisation strings, that allows one to turn insdel-type errors into corruption-type errors. These can then be handled by the use of standard error-correcting codes. We show that their framework can be extended to the quantum setting, providing a way to turn quantum insdel errors into quantum corruption errors, which can be handled with standard quantum error-correcting codes.

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Janet Leahy, Dave Touchette, Penghui Yao. 2019-01-04. Quantum Insertion-Deletion Channels. https://arxiv.org/abs/1901.00984

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