Abstract
In this paper, we propose an efficient scheme to fast generate three-qubit Greenberger-Horne-Zeilinger (GHZ) state by constructing shortcuts to adiabatic passage (STAP) based on the “Lewis-Riesenfeld (LR) invariants” in spatially separated cavities connected by optical fibers. Numerical simulations illustrate that the scheme is not only fast, but robust against the decoherence caused by atomic spontaneous emission, cavity losses and the fiber photon leakages. This might be useful to realize fast and noise-resistant quantum information processing for multi-qubit systems.
Highlights
We propose an efficient scheme to fast generate three-qubit Greenberger-Horne-Zeilinger (GHZ) state by constructing shortcuts to adiabatic passage (STAP) based on the “Lewis-Riesenfeld (LR) invariants” in spatially separated cavities connected by optical fibers
Numerical simulations illustrate that the scheme is fast, but robust against the decoherence caused by atomic spontaneous emission, cavity losses and the fiber photon leakages
The shortcut techniques mainly include counter-diabatic driving (CD)[17,18,19] or, equivalently, transitionless quantum driving[20,21] and inverse engineering based on Lewis-Riesenfeld invariants[25,26,27]
Summary
As the initial state is |ψ0〉=| fL〉|gL〉|gR〉|00〉c1|0, 0〉c2,c3|0, 0〉f1,f2, the system will always evolve in the Zeno subspace Z0, and the effective Hamiltonian of the current system reduces to. According to the above analysis, we can draw a conclusion that the states | fL〉|gL〉|gR〉| 00〉c1|0, 0〉c2,c3|0, 0〉f1,f2 and | fR〉|gL〉|gR〉|00〉c1|0, 0〉c2,c3|0, 0〉f1,f2 do not interact with each other during the evolution because they evolve in different Zeno invariant subspaces, respectively.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
