Boundary Dynamics Driven Entanglement
arXiv:1212.2260 · doi:10.1088/1751-8113/47/38/385301
Abstract
We will show how it is possible to generate entangled states out of unentangled ones on a bipartite system by means of dynamical boundary conditions. The auxiliary system is defined by a symmetric but not self-adjoint Hamiltonian and the space of self-adjoint extensions of the bipartite system is studied. It is shown that only a small set of them leads to separable dynamics and they are characterized. Various simple examples illustrating this phenomenon are discussed, in particular we will analyze the hybrid system consisting on a planar quantum rotor and a spin system under a wide class of boundary conditions.
26 pages, 5 figures
References in corpus (6)
- Decoherence-protected quantum gates for a hybrid solid-state spin register
- Casimir Effect and Global Theory of Boundary Conditions
- Edge States: Topological Insulators, Superconductors and QCD Chiral Bags
- Self-adjoint extensions of the Laplace-Beltrami operator and unitaries at the boundary
- Models of Topology Change
- Numerical Solutions of the spectral problem for arbitrary self-adjoint extensions of the 1D Schroedinger equation
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- Quantum Control at the Boundary
- Boundary conditions for the quantum Hall effect
- Quantum controllability on graph-like manifolds through magnetic potentials and boundary conditions
- Symmetric and Antisymmetric Tensor Products for the Function-Theoretic Operator Theorist
- On a sharper bound on the stability of non-autonomous Schrödinger equations and applications to quantum control
- Quantum Control at the Boundary: an application to quantum circuits
- Global approximate controllability of quantum systems by form perturbations and applications