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Physics Letters A

Macroscopic entanglement on a hybrid quantum circuit

Xiao-Ling He, Li Sheng, Yushen Liu, Thomas F. George

Published Feb 13, 2009• 0 citations
Publisher
DOI
10.1016/j.physleta.2009.02.012

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We investigate dynamical generation of macroscopic nonlocal entanglements between two remote massive magnon-superconducting-circuit hybrid systems. Two fiber-coupled microwave cavities are employed to serve as an interaction channel connecting two sets of macroscopic hybrid units each containing a magnon sphere and a superconducting-circuit qubit. The structure of the hybrid system allows the existence of an optimal fiber coupling strength that requests the shortest amount of time to generate a systematic maximal entanglement, which is solely dependent on the couplings of the channel with both magnon and superconducting circuit. Our theoretical results are shown to be within the scope of specific parameters that can be easily achieved with current technology. The noise effects on the implementation of systems are also treated in a general environment suggesting the robustness of our results. Our discrete-variable qubit-like entanglement theory of magnons may lead to direct applications in various quantum information tasks.
FINDING: Quantum tunneling and macroscopic entanglement are experimentally accessible, with transfer learning bridging classical and quantum neural architectures. | MATH: No explicit equations in the raw search results; however, the physics of macroscopic quantum tunneling scales with the WKB exponent exp⁡(−2ℏ∫x1x22m(V(x)−E) dx) \exp\left(-\frac{2}{\hbar}\int_{x_1}^{x_2}\sqrt{2m(V(x)-E)}\,dx\right) exp(−ℏ2​∫x1​x2​​2m(V(x)−E)​dx), and entanglement tomography of macroscopic mechanical objects implies Bell-type inequalities and density matrix reconstruction via ρ=∑ijρij∣i⟩⟨j∣ \rho = \sum_{ij} \rho_{ij} |i\rangle\langle j| ρ=∑ij​ρij​∣i⟩⟨j∣. The hybrid transfer learning paper (arXiv:1912.08278) uses variational quantum circuits with parameterized gates U(θ)=∏e−iθkHk U(\theta) = \prod e^{-i\theta_k H_k} U(θ)=∏e−iθk​Hk​, and classical-quantum feature maps ϕ(x)→∣ψ(x)⟩ \phi(x) \to |\psi(x)\rangle ϕ(x)→∣ψ(x)⟩. | CONNECTION: The WKB tunneling exponent contains an action integral — for a parabolic barrier, the transmission probability yields T∼e−2πE/ℏω T \sim e^{-2\pi E/\hbar\omega} T∼e−2πE/ℏω, where the exponent 2π 2\pi 2π connect Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
In the microscopic world, multipartite entanglement has been achieved with various types of nanometer-sized two-level systems such as trapped ions, atoms and photons. On the macroscopic scale ranging from micrometers to millimeters, recent experiments have demonstrated bipartite and tripartite entanglement for electronic quantum circuits with superconducting Josephson junctions. It remains challenging to bridge these largely different length scales by constructing hybrid quantum systems. Doing so may allow us to manipulate the entanglement of individual microscopic objects separated by macroscopically large distances in a quantum circuit. Here we report on the experimental demonstration of induced coherent interaction between two intrinsic two-level states (TLSs) formed by atomic-scale defects in a solid via a superconducting phase qubit. The tunable superconducting circuit serves as a shuttle communicating quantum information between the two microscopic TLSs. We present a detailed comparison between experiment and theory and find excellent agreement over a wide range of parameters. We then use the theoretical model to study the creation and movement of entanglement between the three components of the quantum system.