Abstract
We present a technique for the dissipative preparation of highly entangled multiparticle states of atoms coupled to common oscillator modes. By combining local spontaneous emission with coherent couplings, we engineer many-body dissipation that drives the system from an arbitrary initial state into a Greenberger-Horne-Zeilinger state. We demonstrate that using our technique highly entangled steady states can be prepared efficiently in a time that scales polynomially with the system size. Our protocol assumes generic couplings and will thus enable the dissipative production of multiparticle entanglement in a wide range of physical systems. As an example, we demonstrate the feasibility of our scheme in state-of-the-art trapped-ion systems.
Highlights
Multiparticle entanglement is an essential resource for quantum computation and information [1], e.g., in quantum error correction [2,3], quantum memories [4], and entanglement-enhanced quantum measurement schemes [5,6]
We present a technique for the dissipative preparation of highly entangled multiparticle states of atoms coupled to common oscillator modes
By combining local spontaneous emission with coherent couplings, we engineer many-body dissipation that drives the system from an arbitrary initial state into a Greenberger-HorneZeilinger state
Summary
XN jfiah−j a1⁄41 þ ð3Þ with strengths ΩðlFÞ and detunings ΔðlFÞ, where l 1⁄4 Z, X denotes the desired operation and F the field tone. Thereby, we make jGHZ−i decay to random states by effective spontaneous emission with a strong rate ΓXþ ∼ 2ðΩðXFÞÞ2=γf, Similar to the Z pumping, the decreasing energy gap between the dressed states gives rise to a leakage rate from GHZ, ΓX− ∼ N2γfΩ2X=g2 (using ΩðXFÞ 1⁄4 ΩX for odd F and ΩðXFÞ 1⁄4 0 for even F), which increases with the number of qubits N. To avoid having an increasing error with the qubit number N, we assume that we can control the decay rates of the excited states jei and jfi This is, for instance, the case if the states are metastable states coupled to higher lying unstable states with a laser field [33,34]. These considerations and parameter values can be turned into a rigorous upper bound on the preparation time [53]: τGHZ
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