2023/06/08 by Vincent Martin, Alain Sarlette, Martin, Vincent +1
Computer Science · Mathematics · #Algorithm #Artificial intelligence #Automaton #Computer science #Context (archaeology) #Encoding (memory) #FOS: Physical sciences #Fidelity #Markov chain #Markov process #Master equation #Mathematics #Neural Networks and Reservoir Computing #Nondeterministic algorithm #Physics #Probabilistic logic #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Quantum mechanics #Qubit #Sequence (biology) #State (computer science) #Superposition principle #Theoretical computer science
paper · pdf · doi:10.48550/arxiv.2306.05070
published in arXiv (Cornell University) (Cornell University)
openalex publication_date 2023/06/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
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.