Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Simulation of Open Quantum Systems Using a Unitary Decomposition
  of Operators   Electron transport in realistic physical and chemical systems often involves
the non-trivial exchange of energy with a large environment, requiring the
definition and treatment of open quantum systems. Because the time evolution of
an open quantum system employs a non-unitary operator, the simulation of open
quantum systems presents a challenge for universal quantum computers
constructed from only unitary operators or gates. Here we present a general
algorithm for implementing the action of any non-unitary operator on an
arbitrary state on a quantum device. We show that any quantum operator can be
exactly decomposed as a linear combination of at most four unitary operators.
We demonstrate this method on a two-level system in both zero and finite
temperature amplitude damping channels. The results are in agreement with
classical calculations, showing promise in simulating non-unitary operations on
intermediate-term and future quantum devices.

26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat