Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Impact of Logical Errors on Quantum Algorithms via Jump Formalism   In this paper, we first study the quantum jump formalism and its equivalence
to the Lindblad master equation in describing the evolution of open quantum
systems. Second, we evaluate the impact of logical Pauli and coherent
Z-rotation errors on six quantum algorithms and their algorithmic resilience to
these errors by performing the Monte Carlo simulations dictated by the quantum
jump method. The results suggest that the resilience of the studied quantum
algorithms decreases as the number of qubits and the depth of the algorithms'
circuits increase for single Pauli and Z-rotation errors. Moreover, when two
Pauli errors occur, the success of the algorithms becomes significantly
unlikely. As per two Z-rotations errors, the success rate of the algorithms
vanishes.

24
The categories of this paper are: dg-ga
2
The categories of this paper are: math
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess