Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New techniques for fault-tolerant decomposition of Multi-Controlled
  Toffoli gate   Physical implementation of scalable quantum architectures faces an immense
challenge in form of fragile quantum states. To overcome it, quantum
architectures with fault tolerance is desirable. This is achieved currently by
using surface code along with a transversal gate set. This dictates the need
for decomposition of universal Multi Control Toffoli~(MCT) gates using a
transversal gate set. Additionally, the transversal non-Clifford phase gate
incurs high latency which makes it an important factor to consider during
decomposition.Besides, the decomposition of large Multi-control Toffoli~(MCT)
gate without ancilla presents an additional hurdle. In this manuscript, we
address both of these issues by introducing Clifford+$Z_N$ gate library. We
present an ancilla free decomposition of MCT gates with linear phase depth and
quadratic phase count. Furthermore, we provide a technique for decomposition of
MCT gates in unit phase depth using the Clifford+$Z_N$ library, albeit at the
cost of ancillary lines and quadratic phase count.

36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph