Quantum Simulation of Open Quantum Systems Using a Unitary Decomposition
of Operators
- URL: http://arxiv.org/abs/2106.12588v1
- Date: Wed, 23 Jun 2021 18:00:02 GMT
- Title: Quantum Simulation of Open Quantum Systems Using a Unitary Decomposition
of Operators
- Authors: Anthony W. Schlimgen, Kade Head-Marsden, LeeAnn M. Sager, Prineha
Narang, and David A. Mazziotti
- Abstract summary: We show that any quantum operator can be exactly decomposed as a linear combination of at most four unitary operators.
The results are in agreement with classical calculations, showing promise in non-unitary operations on intermediate-term and future quantum devices.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: 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.
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