Covariant Quantum Error-Correcting Codes with Metrological Entanglement Advantage
| Title: | Covariant Quantum Error-Correcting Codes with Metrological Entanglement Advantage |
|---|---|
| Authors: | Lin, Cheng-Ju, Liu, Zi-Wen, Albert, Victor V., Gorshkov, Alexey V. |
| Publication Year: | 2024 |
| Collection: | Quantum Physics |
| Subject Terms: | Quantum Physics |
| More Details: | We show that a subset of the basis for the irreducible representations of the total $SU(2)$ rotation forms a covariant approximate quantum error-correcting code with transversal $U(1)$ logical gates. Using only properties of the angular momentum algebra, we obtain bounds on the code inaccuracy against generic noise on any known $d$ sites and against heralded $d$-local erasures, generalizing and improving previous works on the ``thermodynamic code" to general local spin and different irreducible representations. We demonstrate that this family of codes can host and protect a probe state with quantum Fisher information surpassing the standard quantum limit when the sensing parameter couples to the generator of the $U(1)$ logical gate. Comment: 7+12 pages, 2 figures |
| Document Type: | Working Paper |
| Access URL: | http://arxiv.org/abs/2409.20561 |
| Accession Number: | edsarx.2409.20561 |
| Database: | arXiv |
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