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Bulletin of the American Physical Society

Experimental realization of entanglement sudden death and rebirth at room temperature in diamond

Fei Wang, Pan‐Yu Hou, Yuanyuan Huang, Wengang Zhang, L.-M. Duan

Published Mar 9, 2018• 0 citations
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Quantum entanglement, the essential resource for quantum information processing, has rich dynamics under different environments. Probing different entanglement dynamics typically requires exquisite control of complicated system-environment coupling in real experimental systems. Here, by a simple control of the effective solid-state spin bath in a diamond sample, we observe rich entanglement dynamics, including the conventional asymptotic decay as well as the entanglement sudden death, a term coined for the phenomenon of complete disappearance of entanglement after a short finite time interval. Furthermore, we observe counterintuitive entanglement rebirth after its sudden death in the same diamond sample by tuning an experimental parameter, demonstrating that we can conveniently control the non-Markovianity of the system-environment coupling through a natural experimental knob. Further tuning of this experimental knob can make the entanglement dynamics completely coherent under the same environmental coupling. Probing of entanglement dynamics, apart from its fundamental interest, may find applications in quantum information processing through control of the environmental coupling.
Local Markovian noise cannot bring entanglement back, but it can bring magic back. Unlike separability, stabilizer membership is not preserved by local channels, allowing dissipation to push states out of the stabilizer polytope as well as in. Under local amplitude damping, the nnn-qubit GHZ family α∣0n⟩+β∣1n⟩α|0^n\rangle+β|1^n\rangleα∣0n⟩+β∣1n⟩ (0<α<β0<α<β0<α<β) loses its magic at a lower damping strength γ−γ_-γ−​ and regains it at a higher one γ+γ_+γ+​, while entanglement is irreversibly lost at γeγ_eγe​. This magic--entanglement complementarity, γe+γ+=1γ_e+γ_+=1γe​+γ+​=1 for every nnn, reflects a system--environment duality of amplitude damping. Within real phase-covariant Markovian semigroups the phenomenon is mapped out in full: zero-temperature rebirth occurs if and only if T2>T1T_2>T_1T2​>T1​, unital dynamics produce no rebirth, and sufficiently weak thermal excitation confines rebirth to a finite magic island ending in a second sudden death. For small ααα, the reborn magic resides in a fully separable state with all proper marginals stabilizer, yet parity-syndrome extraction concentrates it onto a single qubit for magic-state distillation, without loss of expected robustness and with optimal per-register yield α2/2α^2/2α2/2. Local dissipation further divides pure stabilizer states into magic-generators and magic-insulators: at two qubits, the Bell state ∣Φ+⟩|Φ^+\rangle∣Φ+⟩ generates magic immediately, while its Bell-state partner ∣Ψ+⟩|Ψ^+\rangle∣Ψ+⟩ remains stabilizer. Together, magic and entanglement reveal a symmetry invisible to either alone.