Preparation of entangled states by quantum Markov processes

By Barbara Kraus, Hans Peter Büchler, Sebastian Diehl, A. Kantian, A. Micheli, P. Zoller. 2008

631 citations recorded by the source corpus.

We investigate the possibility of using a dissipative process to prepare a quantum system in a desired state. We derive for any multipartite pure state a dissipative process for which this state is ...

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/95a2bc64710a7cb43cf16f4ce453d55f32b125cf

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In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

Citations in the corpus

Geometry and Response of Lindbladians (2015, neutral): “…the corresponding eigenvalue Δ ¼ β, the left asymptotic eigenvectors become Jkl ¼ jψkihψ lj þ jψ⊥k ihψ⊥l j 1þ iβð−Þlð1 − δklÞ : ð3:29Þ Despite F ¼ 0, the scrambling term still inflicts damage to the initial state due to H∞ (for nonzero β), but now the coherence suppression is of order Oðβ−1Þ.”
A note on symmetry reductions of the Lindblad equation: transport in constrained open spin chains (2012, neutral): “The interesting case, when the fixed point is a pure state ρ∞ = |ψ∞〉〈ψ∞| is of particular appeal in quantum optics and quantum information theory [19], where such a state |ψ∞〉 is called a dark state.”
Training Schrödinger’s cat: quantum optimal control (2015, background): “mplicit learning about the system parameters is the ADHOC technique [112]. Decoherence in open quantum systems can also be used as a resource in what has become known as dissipative state engineering [62, 225, 364, 428]. Optimal control theory allows for tackling dissipative state engineering for qu”
Engineered dissipation for quantum information science (2022, background): “There are many examples in the literature of ideas for producing matrix product states or pair entangled states 62,200–202 , including condensates, η -condensates, pair condensates, and dimerized phases 178,203–205 .”
Quantum trajectories and open many-body quantum systems (2014, methodology): “These ideas were also applied to implement a master equation for which the η-pairing states [328] for two-species fermions are the steady state [92, 93].”
Dynamics of non-Markovian open quantum systems (2015, background): “But even when considering the systems coupled to independent Markovian reservoirs, a careful design of the system-environment couplings can lead to an entangled state as the unique stationary state of a dissipative process (Kraus et al., 2008; Verstraete et al., 2008).”
Engineered Open Systems and Quantum Simulations with Atoms and Ions (2012, background): “As to (ii), uniqueness of the dark state as a stationary state is guaranteed if there is no other subspace of the system Hilbert space which is left invariant under the action of the operators cβ (Baumgartner et al., 2007; Kraus et al., 2008).”
Driven-dissipative preparation of entangled states in cascaded quantum-optical networks (2011, background): “[13] and further comments in Appendix A):”