# Graph States as a Resource for Quantum Metrology

Abstract : By using highly entangled states, quantum metrology guarantees precision impossible with classical measurements. Unfortunately such states can be very susceptible to noise, and it is a great challenge of the field to maintain quantum advantage in realistic conditions. In this study we investigate the practicality of graph states for quantum metrology. Graph states are a natural resource for much of quantum information, and here we characterize their quantum Fisher information (QFI) for an arbitrary graph state. We then construct families of graph states which attain a QFI of at least of at least $n^{2-\log_n k}$, we call these states bundled graph states. We also quantify the number of $n$ qubit stabilizer states that are useful as a resource for quantum metrology. We demonstrate that bundled graph states maintain a quantum advantage after being subjected to iid dephasing or finite erasures. This shows that these graph states are good resources for robust quantum metrology.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-02276010
Contributor : Nathan Shettell <>
Submitted on : Monday, September 2, 2019 - 11:20:12 AM
Last modification on : Wednesday, September 4, 2019 - 1:26:44 AM

### Identifiers

• HAL Id : hal-02276010, version 1
• ARXIV : 1908.05047

### Citation

Nathan Shettell, Damian Markham. Graph States as a Resource for Quantum Metrology. 2019. ⟨hal-02276010⟩

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