Relaxation to Equilibrium in a Quantum Network
- URL: http://arxiv.org/abs/2009.13657v1
- Date: Mon, 28 Sep 2020 22:15:35 GMT
- Title: Relaxation to Equilibrium in a Quantum Network
- Authors: Jaroslav Novotn\'y, Angelo Mariano, Saverio Pascazio, Antonello
Scardicchio, Igor Jex
- Abstract summary: We study the relaxation to equilibrium for a fully connected quantum network with CNOT gates.
We give a number of results for the equilibration in these systems, including analytic estimates.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The approach to equilibrium of quantum mechanical systems is a topic as old
as quantum mechanics itself, but has recently seen a surge of interest due to
applications in quantum technologies, including, but not limited to, quantum
computation and sensing. The mechanisms by which a quantum system approaches
its long-time, limiting stationary state are fascinating and, sometimes, quite
different from their classical counterparts. In this respect, quantum networks
represent a mesoscopic quantum systems of interest. In such a case, the graph
encodes the elementary quantum systems (say qubits) at its vertices, while the
links define the interactions between them. We study here the relaxation to
equilibrium for a fully connected quantum network with CNOT gates representing
the interaction between the constituting qubits. We give a number of results
for the equilibration in these systems, including analytic estimates. The
results are checked using numerical methods for systems with up to 15-16
qubits. It is emphasized in which way the size of the network controls the
convergency.
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