Quantum controllability on graph-like manifolds through magnetic potentials and boundary conditions

• URL: http://arxiv.org/abs/2108.00495v4
• Date: Thu, 13 Jul 2023 07:56:29 GMT
• Title: Quantum controllability on graph-like manifolds through magnetic potentials and boundary conditions
• Authors: Aitor Balmaseda, Davide Lonigro, Juan Manuel P\'erez-Pardo
• Abstract summary: We investigate the controllability of an infinite-dimensional quantum system: a quantum particle confined on a Thick Quantum Graph. We prove that global approximate controllability can be achieved using two physically distinct protocols.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate the controllability of an infinite-dimensional quantum system: a quantum particle confined on a Thick Quantum Graph, a generalisation of Quantum Graphs whose edges are allowed to be manifolds of arbitrary dimension with quasi-$\delta$ boundary conditions. This is a particular class of self-adjoint boundary conditions compatible with the graph structure. We prove that global approximate controllability can be achieved using two physically distinct protocols: either using the boundary conditions as controls, or using time-dependent magnetic fields. Both cases have time-dependent domains for the Hamiltonians.

Related papers

• From Uncertainty Relations to Quantum Acceleration Limits [0.0]
  We provide a comparative analysis of two alternative derivations for quantum systems specified by an arbitrary finite-dimensional projective Hilbert space. We find the most general conditions needed to attain the maximal upper bounds on the acceleration of the quantum evolution.
  arXiv  Detail & Related papers  (2024-10-14T19:30:01Z)
• Gaussian Entanglement Measure: Applications to Multipartite Entanglement of Graph States and Bosonic Field Theory [50.24983453990065]
  An entanglement measure based on the Fubini-Study metric has been recently introduced by Cocchiarella and co-workers. We present the Gaussian Entanglement Measure (GEM), a generalization of geometric entanglement measure for multimode Gaussian states. By providing a computable multipartite entanglement measure for systems with a large number of degrees of freedom, we show that our definition can be used to obtain insights into a free bosonic field theory.
  arXiv  Detail & Related papers  (2024-01-31T15:50:50Z)
• Driven transparent quantum graphs [0.0]
  We address the problem of transparent boundary conditions for quantum graphs, building on previous work on transparent boundary conditions for the stationary Schrodinger equation on a line. We also discuss how the eigenvalues and eigenfunctions of a quantum graph are influenced not only by its topology, but also by the shape of a potential when an external field is involved.
  arXiv  Detail & Related papers  (2023-12-03T16:34:29Z)
• Entanglement entropy in conformal quantum mechanics [68.8204255655161]
  We consider sets of states in conformal quantum mechanics associated to generators of time evolution whose orbits cover different regions of the time domain. States labelled by a continuous global time variable define the two-point correlation functions of the theory seen as a one-dimensional conformal field theory.
  arXiv  Detail & Related papers  (2023-06-21T14:21:23Z)
• Quantum Reference Frames at the Boundary of Spacetime [0.0]
  An analysis is given of the local phase space of gravity coupled to matter to second order in perturbation theory. The boundary modes take the role of reference frames for both diffeomorphisms and internal Lorentz rotations. A multi-fingered Schr"odinger equation determines the relational evolution of the quantum states in the bulk.
  arXiv  Detail & Related papers  (2023-02-22T20:10:03Z)
• Observation of partial and infinite-temperature thermalization induced by repeated measurements on a quantum hardware [62.997667081978825]
  We observe partial and infinite-temperature thermalization on a quantum superconducting processor. We show that the convergence does not tend to a completely mixed (infinite-temperature) state, but to a block-diagonal state in the observable basis.
  arXiv  Detail & Related papers  (2022-11-14T15:18:11Z)
• Quantum Control at the Boundary [0.0]
  dissertation presents and prove the viability of a non-standard method for controlling the state of a quantum system. The Quantum Control at the Boundary approach is radically different to the standard one.
  arXiv  Detail & Related papers  (2022-01-14T14:37:28Z)
• Stochastic approximate state conversion for entanglement and general quantum resource theories [41.94295877935867]
  An important problem in any quantum resource theory is to determine how quantum states can be converted into each other. Very few results have been presented on the intermediate regime between probabilistic and approximate transformations. We show that these bounds imply an upper bound on the rates for various classes of states under probabilistic transformations. We also show that the deterministic version of the single copy bounds can be applied for drawing limitations on the manipulation of quantum channels.
  arXiv  Detail & Related papers  (2021-11-24T17:29:43Z)
• Unraveling the topology of dissipative quantum systems [58.720142291102135]
  We discuss topology in dissipative quantum systems from the perspective of quantum trajectories. We show for a broad family of translation-invariant collapse models that the set of dark state-inducing Hamiltonians imposes a nontrivial topological structure on the space of Hamiltonians.
  arXiv  Detail & Related papers  (2020-07-12T11:26:02Z)
• Dirac Particles in Transparent Quantum Graphs: Tunable transport of relativistic quasiparticles in branched structures [0.0]
  We consider the dynamics of relativistic spin-half particles in quantum graphs with transparent branching points. The system is modeled by combining the quantum graph concept with the one of transparent boundary conditions applied to the Dirac equation on metric graphs.
  arXiv  Detail & Related papers  (2020-04-16T15:35:56Z)
• Quantum Hall phase emerging in an array of atoms interacting with photons [101.18253437732933]
  Topological quantum phases underpin many concepts of modern physics. Here, we reveal that the quantum Hall phase with topological edge states, spectral Landau levels and Hofstadter butterfly can emerge in a simple quantum system. Such systems, arrays of two-level atoms (qubits) coupled to light being described by the classical Dicke model, have recently been realized in experiments with cold atoms and superconducting qubits.
  arXiv  Detail & Related papers  (2020-03-18T14:56:39Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.