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Open Quantum Systems Decoherence
Quantum Simulation
Bootstrapping the stationary state of bosonic open quantum systems
arXiv
Authors: Gustave Robichon, Antoine Tilloy
Year
2024
Paper ID
38299
Status
Preprint
Abstract Read
~2 min
Abstract Words
84
Citations
N/A
Abstract
We propose a method to compute expectation values of observables in the stationary state of a (Markovian) bosonic open quantum system. Using a hierarchy of semi-definite relaxations, we obtain finer and finer upper and lower bounds to any expectation value of interest. The bounds are rigorous, robust to stationary state degeneracies, and numerically improve as the occupation number increases on the examples we considered. This makes it adapted to the simulation of stationary states of bosonic qubits and in particular dissipatively stabilized cat qubits.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- We propose a method to compute expectation values of observables in the stationary state of a (Markovian) bosonic open quantum system.
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