The Alicki-Fannes-Winter technique in the quasi-classical settings: advanced version and its applications

• URL: http://arxiv.org/abs/2505.00882v1
• Date: Thu, 01 May 2025 21:57:25 GMT
• Title: The Alicki-Fannes-Winter technique in the quasi-classical settings: advanced version and its applications
• Authors: M. E. Shirokov,
• Abstract summary: We describe an advanced version of the AFW-technique proposed in Lett. Math. Phys.<n>We consider applications of the new version of the AFW-technique to several basic characteristics of quantum systems.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We describe an advanced version of the AFW-technique proposed in [Lett. Math. Phys., 113, 121 (2023)],[Lobachevskii J. Math., 44(6), 2169 (2023)] which allows us to obtain lower semicontinuity bounds, continuity bounds and local lower bounds for characteristics of quantum systems and discrete random variables. We consider applications of the new version of the AFW-technique to several basic characteristics of quantum systems (the von Neumann entropy, the energy-type functionals, the quantum relative entropy, the conditional entropy and the entanglement of formation).

Related papers

• Grassmann Variational Monte Carlo with neural wave functions [45.935798913942904]
  We formalize the framework introduced by Pfau et al.citepfau2024accurate in terms of Grassmann geometry of the Hilbert space.<n>We validate our approach on the Heisenberg quantum spin model on the square lattice, achieving highly accurate energies and physical observables for a large number of excited states.
  arXiv  Detail & Related papers  (2025-07-14T13:53:13Z)
• Variational quantum thermalizers based on weakly-symmetric nonunitary multi-qubit operations [0.0]
  Variational Quantum Thermalizers (VQTs) generate the thermal (Gibbs) state of a given Hamiltonian.<n>Current algorithms struggle at intermediate temperatures, where the target state is nonpure but exhibits entanglement.<n>We devise multi-qubit nonunitary operations that harness weak symmetries and thereby improve the performance of the algorithm.
  arXiv  Detail & Related papers  (2025-02-13T19:00:00Z)
• A covariant regulator for entanglement entropy: proofs of the Bekenstein bound and QNEC [0.0]
  We show that a notion of entropy differences can be rigorously defined in quantum field theory in a general curved spacetime. We introduce a novel, covariant regulator for the entropy based on the modular crossed product. This regulator associates a type II von Neumann algebra to each spacetime subregion, resulting in well-defined renormalized entropies.
  arXiv  Detail & Related papers  (2023-12-12T18:07:13Z)
• Variational quantum simulation using non-Gaussian continuous-variable systems [39.58317527488534]
  We present a continuous-variable variational quantum eigensolver compatible with state-of-the-art photonic technology. The framework we introduce allows us to compare discrete and continuous variable systems without introducing a truncation of the Hilbert space.
  arXiv  Detail & Related papers  (2023-10-24T15:20:07Z)
• Convergence of Dynamics on Inductive Systems of Banach Spaces [68.8204255655161]
  Examples are phase transitions in the thermodynamic limit, the emergence of classical mechanics from quantum theory at large action, and continuum quantum field theory arising from renormalization group fixed points. We present a flexible modeling tool for the limit of theories: soft inductive limits constituting a generalization of inductive limits of Banach spaces.
  arXiv  Detail & Related papers  (2023-06-28T09:52:20Z)
• General Continuity Bounds for Quantum Relative Entropies [0.24999074238880484]
  We introduce a method to prove continuity bounds for quantities derived from different quantum relative entropies. For the Umegaki relative entropy, we mostly recover known almost optimal bounds, whereas, for the Belavkin-Staszewski relative entropy, our bounds are new.
  arXiv  Detail & Related papers  (2023-05-17T11:52:15Z)
• Asymptotic Equipartition Theorems in von Neumann algebras [16.37352624912904]
  We show that the smooth max entropy of i.i.d. states on a von Neumann algebra has an rate given by the quantum relative entropy.<n>Our AEP not only applies to states, but also to quantum channels with appropriate restrictions.
  arXiv  Detail & Related papers  (2022-12-30T13:42:35Z)
• Close-to-optimal continuity bound for the von Neumann entropy and other quasi-classical applications of the Alicki-Fannes-Winter technique [0.0]
  We consider a quasi-classical version of the Alicki-Fannes-Winter technique widely used for quantitative continuity analysis of quantum systems and channels. We obtain continuity bounds under constraints of different types for quantum states belonging to subsets of a special form that can be called "quasi-classical"
  arXiv  Detail & Related papers  (2022-07-18T17:45:20Z)
• Quantum state inference from coarse-grained descriptions: analysis and an application to quantum thermodynamics [101.18253437732933]
  We compare the Maximum Entropy Principle method, with the recently proposed Average Assignment Map method. Despite the fact that the assigned descriptions respect the measured constraints, the descriptions differ in scenarios that go beyond the traditional system-environment structure.
  arXiv  Detail & Related papers  (2022-05-16T19:42:24Z)
• The generalized strong subadditivity of the von Neumann entropy for bosonic quantum systems [5.524804393257921]
  We prove a generalization of the strong subadditivity of the von Neumann entropy for bosonic quantum Gaussian systems. We apply our result to prove new entropic uncertainty relations with quantum memory, a generalization of the quantum Entropy Power Inequality, and the linear time scaling of the entanglement entropy produced by quadratic Hamiltonians.
  arXiv  Detail & Related papers  (2021-05-12T12:52:40Z)
• Catalytic Transformations of Pure Entangled States [62.997667081978825]
  Entanglement entropy is the von Neumann entropy of quantum entanglement of pure states. The relation between entanglement entropy and entanglement distillation has been known only for the setting, and the meaning of entanglement entropy in the single-copy regime has so far remained open. Our results imply that entanglement entropy quantifies the amount of entanglement available in a bipartite pure state to be used for quantum information processing, giving results an operational meaning also in entangled single-copy setup.
  arXiv  Detail & Related papers  (2021-02-22T16:05:01Z)
• Bernstein-Greene-Kruskal approach for the quantum Vlasov equation [91.3755431537592]
  The one-dimensional stationary quantum Vlasov equation is analyzed using the energy as one of the dynamical variables. In the semiclassical case where quantum tunneling effects are small, an infinite series solution is developed.
  arXiv  Detail & Related papers  (2021-02-18T20:55:04Z)
• From stochastic spin chains to quantum Kardar-Parisi-Zhang dynamics [68.8204255655161]
  We introduce the asymmetric extension of the Quantum Symmetric Simple Exclusion Process. We show that the time-integrated current of fermions defines a height field which exhibits a quantum non-linear dynamics.
  arXiv  Detail & Related papers  (2020-01-13T14:30:36Z)

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.