Quantum Circuits for Collective Amplitude Damping in Two-Qubit Systems
- URL: http://arxiv.org/abs/2012.02410v1
- Date: Fri, 4 Dec 2020 05:17:56 GMT
- Title: Quantum Circuits for Collective Amplitude Damping in Two-Qubit Systems
- Authors: Yusuke Hama
- Abstract summary: We investigate formulations of the collective quantum noises represented as quantum circuits.
We demonstrate digital quantum simulations of the collective amplitude damping by examining six different initial conditions.
These results pave the way for establishing systematic approaches to control the quantum noises and designing large-scale quantum computers.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Quantum computers have now appeared in our society and are utilized for the
investigation of science and engineering. At present, they have been built as
intermediate-size computers containing about fifty qubits and are weak against
noise effects. Hence, they are called noisy-intermediate scale quantum devices.
In order to accomplish efficient quantum computation with using these machines,
a key issue is going to be the coherent control of individual and collective
quantum noises. In this work, we focus on a latter type and investigate
formulations of the collective quantum noises represented as quantum circuits.
To simplify our discussions and make them concrete, we analyze collective
amplitude damping processes in two-qubit systems. As verifications of our
formalisms and the quantum circuits, we demonstrate digital quantum simulations
of the collective amplitude damping by examining six different initial
conditions with varying the number of execution of an overall operation for our
quantum simulations. We observe that our results show good numerical matching
with the solution of quantum master equation for the two-qubit systems as we
increase such a number. In addition, we explain the essence of the way to
extend our formalisms to analyze the collective amplitude damping in larger
qubit systems. These results pave the way for establishing systematic
approaches to control the quantum noises and designing large-scale quantum
computers.
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