Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effect of qubit losses on Grover's quantum search algorithm   We investigate the performance of Grover's quantum search algorithm on a
register which is subject to loss of the particles that carry the qubit
information. Under the assumption that the basic steps of the algorithm are
applied correctly on the correspondingly shrinking register, we show that the
algorithm converges to mixed states with 50% overlap with the target state in
the bit positions still present. As an alternative to error correction, we
present a procedure that combines the outcome of different trials of the
algorithm to determine the solution to the full search problem. The procedure
may be relevant for experiments where the algorithm is adapted as the loss of
particles is registered, and for experiments with Rydberg blockade interactions
among neutral atoms, where monitoring of the atom losses is not even necessary.

32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org