Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Heralded quantum controlled phase gates with dissipative dynamics in
  macroscopically-distant resonators   Heralded near-deterministic multi-qubit controlled phase gates with
integrated error detection have recently been proposed by Borregaard et al.
[Phys. Rev. Lett. 114, 110502 (2015)]. This protocol is based on a single
four-level atom (a heralding quartit) and $N$ three-level atoms (operational
qutrits) coupled to a single-resonator mode acting as a cavity bus. Here we
generalize this method for two distant resonators without the cavity bus
between the heralding and operational atoms. Specifically, we analyze the
two-qubit controlled-Z gate and its multi-qubit-controlled generalization
(i.e., a Toffoli-like gate) acting on the two-lowest levels of $N$ qutrits
inside one resonator, with their successful actions being heralded by an
auxiliary microwave-driven quartit inside the other resonator. Moreover, we
propose a circuit-quantum-electrodynamics realization of the protocol with flux
and phase qudits in linearly-coupled transmission-line resonators with
dissipation. These methods offer a quadratic fidelity improvement compared to
cavity-assisted deterministic gates.

28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
2
The categories of this paper are: math
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an