Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Practical and reliable error bars for quantum process tomography   Current techniques in quantum process tomography typically return a single
point estimate of an unknown process based on a finite albeit large amount of
measurement data. Due to statistical fluctuations, however, other processes
close to the point estimate can also produce the observed data with near
certainty. Unless appropriate error bars can be constructed, the point estimate
does not carry any sound operational interpretation. Here, we provide a
solution to this problem by constructing a confidence region estimator for
quantum processes. Our method enables reliable estimation of essentially any
figure-of-merit for quantum processes on few qubits, including the diamond
distance to a specific noise model, the entanglement fidelity, and the
worst-case entanglement fidelity, by identifying error regions which contain
the true state with high probability. We also provide a software
package---QPtomographer---implementing our estimator for the diamond norm and
the worst-case entanglement fidelity. We illustrate its usage and performance
with several simulated examples. Our tools can be used to reliably certify the
performance of e.g. error correction codes, implementations of unitary gates or
more generally any noise process affecting a quantum system.

15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn