Stabilization of approximate GHZ state with quasi-local couplings
- URL: http://arxiv.org/abs/2306.05070v1
- Date: Thu, 8 Jun 2023 09:39:49 GMT
- Title: Stabilization of approximate GHZ state with quasi-local couplings
- Authors: Vincent Martin and Alain Sarlette
- Abstract summary: The main idea is to work out how a previously proposed sequence of two stabilization steps can be applied instead in appropriate (probabilistic) superposition.
We examine alternatives to synchronize the superposition using local couplings only, thanks to a chain of "clock" ancillas or to additional levels on the data subsystems.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We propose a reservoir design, composed of fixed dissipation operators acting
each on few local subsystems, to stabilize an approximate GHZ state on n
qubits. The main idea is to work out how a previously proposed sequence of two
stabilization steps can be applied instead in appropriate (probabilistic)
superposition. We examine alternatives to synchronize the superposition using
local couplings only, thanks to a chain of "clock" ancillas or to additional
levels on the data subsystems. The practical value of these alternatives
depends on experimental constraints. They all feature a design tradeoff between
approximate stabilization fidelity and protection against perturbations. These
proposals illustrate how simple autonomous automata can be implemented in
quantum reservoir engineering to replace sequential state preparation
procedures. Encoding automaton actions via additional data levels only, appears
particularly efficient in this context. Our analysis method, reducing the
Lindblad master equation to a Markov chain on virtual output signals, may be of
independent interest.
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