Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Using Quantum Metrological Bounds in Quantum Error Correction: A Simple
  Proof of the Approximate Eastin-Knill Theorem   We present a simple proof of the approximate Eastin-Knill theorem, which
connects the quality of a quantum error-correcting code (QECC) with its ability
to achieve a universal set of transversal logical gates. Our derivation employs
powerful bounds on the quantum Fisher information in generic quantum
metrological protocols to characterize the QECC performance measured in terms
of the worst-case entanglement fidelity. The theorem is applicable to a large
class of decoherence models, including independent erasure and depolarizing
noise. Our approach is unorthodox, as instead of following the established path
of utilizing QECCs to mitigate noise in quantum metrological protocols, we
apply methods of quantum metrology to explore the limitations of QECCs.

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The categories of this paper are: hep-ph
16
The categories of this paper are: stat
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th