Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Partial randomized benchmarking and noise   In practical randomized benchmarking of logical gates for quantum
computation, partial averaging is sometimes used to simplify the
implementation. For instance, for two-qubit gates, averaging over only
single-qubit operations is much easier to realize than the full averaging. We
analyze such simplified, partial averaging and demonstrate that, unlike for the
standard randomized benchmarking, the measured decay law of fidelity is a
linear combination of several exponentials with different decay factors (3 for
two qubits and single-bit averaging). The evolution with the sequence length is
given by an iteration matrix, whose eigenvalues give the decay factors. For
generic two-qubit gates two contributions decay fast and are barely visible,
while the third factor characterizes a combination of gate errors in three
channels. While the decay factor of this slowest exponential is close to that
in the standard randomized benchmarking, we demonstrate that they differ in
general and find this correction to the leading order. Furthermore, via a
connection to the local invariants of two-qubit gates we find all exceptional
gates, with more than one slow exponential, and analyze possibilities to
extract their decay factors from the measured curves.

11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph