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Trapped Ion Quantum Computing
Entanglement renormalization, quantum error correction, and bulk causality
arXiv
Authors: Isaac H. Kim, Michael J. Kastoryano
Year
2016
Paper ID
41510
Status
Preprint
Abstract Read
~2 min
Abstract Words
88
Citations
N/A
Abstract
Entanglement renormalization can be viewed as an encoding circuit for a family of approximate quantum error correcting codes. The logical information becomes progressively more well-protected against erasure errors at larger length scales. In particular, an approximate variant of holographic quantum error correcting code emerges at low energy for critical systems. This implies that two operators that are largely separated in scales behave as if they are spatially separated operators, in the sense that they obey a Lieb-Robinson type locality bound under a time evolution generated bya local Hamiltonian.
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- This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
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- Entanglement renormalization can be viewed as an encoding circuit for a family of approximate quantum error correcting codes.
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