Superpositions of coherent states determined by Gauss sums

• URL: http://arxiv.org/abs/2112.07613v3
• Date: Wed, 28 Sep 2022 08:13:02 GMT
• Title: Superpositions of coherent states determined by Gauss sums
• Authors: Vyacheslav P. Spiridonov
• Abstract summary: We describe a family of quantum states of the Schr"odinger cat type. The first member of this family is given by the well known Yurke-Stoler coherent state.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We describe a family of quantum states of the Schr\"odinger cat type as superpositions of the harmonic oscillator coherent states with coefficients defined by the quadratic Gauss sums. These states emerge as eigenfunctions of the lowering operators obtained after canonical transformations of the Heisenberg-Weyl algebra associated with the ordinary and fractional Fourier transformation. The first member of this family is given by the well known Yurke-Stoler coherent state.

Related papers

• Continuity of entropies via integral representations [16.044444452278064]
  We show that Frenkel's integral representation of the quantum relative entropy provides a natural framework to derive continuity bounds for quantum information measures. We obtain a number of results: (1) a tight continuity relation for the conditional entropy in the case where the two states have equal marginals on the conditioning system, resolving a conjecture by Wilde in this special case; (2) a stronger version of the Fannes-Audenaert inequality on quantum entropy; and (3) better estimates on the quantum capacity of approximately degradable channels.
  arXiv  Detail & Related papers  (2024-08-27T17:44:52Z)
• Quantum Random Walks and Quantum Oscillator in an Infinite-Dimensional Phase Space [45.9982965995401]
  We consider quantum random walks in an infinite-dimensional phase space constructed using Weyl representation of the coordinate and momentum operators. We find conditions for their strong continuity and establish properties of their generators.
  arXiv  Detail & Related papers  (2024-06-15T17:39:32Z)
• Truncated generalized coherent states [0.0]
  A class of generalized coherent states is determined for the distribution of excitations. The statistics is uniquely sub-Poissonian for large values of the label. As particular cases, truncated Wright generalized coherent states exhibit uniquely non-classical properties.
  arXiv  Detail & Related papers  (2022-09-29T23:20:25Z)
• Gaussian entanglement witness and refined Werner-Wolf criterion for continuous variables [11.480994804659908]
  We use matched quantum entanglement witnesses to study the separable criteria of continuous variable states. We also connect the witness based criterion with Werner-Wolf criterion and refine the Werner-Wolf criterion.
  arXiv  Detail & Related papers  (2022-09-19T03:43:37Z)
• Matched entanglement witness criteria for continuous variables [11.480994804659908]
  We use quantum entanglement witnesses derived from Gaussian operators to study the separable criteria of continuous variable states. This opens a way for precise detection of non-Gaussian entanglement.
  arXiv  Detail & Related papers  (2022-08-26T03:45:00Z)
• Quantum-classical entropy analysis for nonlinearly-coupled continuous-variable bipartite systems [0.0]
  We investigate the behavior of classical analogs arising upon the removal of interference traits. By comparing the quantum and classical entropy values, it is shown that, instead of entanglement production, such entropies rather provide us with information.
  arXiv  Detail & Related papers  (2021-11-19T11:39:15Z)
• Quantum Turing bifurcation: Transition from quantum amplitude death to quantum oscillation death [11.353329565587574]
  We show that a homogeneous steady state is transformed into an inhomogeneous steady state through the Turing bifurcation. Our study explores the paradigmatic Turing bifurcation at the quantum-classical interface and opens up the door towards its broader understanding.
  arXiv  Detail & Related papers  (2021-06-15T05:02:54Z)
• Gaussian Continuous-Variable Isotropic State [0.0]
  We study the non-classical correlations contained in a two-mode Gaussian analogue of an isotropic state. It turns out that it exhibits an analogous phenomenology as the finite-dimensional two-qubit isotropic state.
  arXiv  Detail & Related papers  (2021-05-07T09:45:15Z)
• A pedagogical note on the computation of relative entropy of two $n$-mode gaussian states [0.0]
  We present a formula for the relative entropy S(rho||sigma) of two n mode gaussian states rho, in the boson Fock space.
  arXiv  Detail & Related papers  (2021-02-12T14:42:42Z)
• Generalization of group-theoretic coherent states for variational calculations [1.2599533416395767]
  We introduce new families of pure quantum states that are constructed on top of the well-known Gilmore-Perelomov group-theoretic coherent states. We generate entanglement not found in the coherent states themselves, while retaining many of their desirable properties.
  arXiv  Detail & Related papers  (2020-12-22T16:50:25Z)
• Operator-algebraic renormalization and wavelets [62.997667081978825]
  We construct the continuum free field as the scaling limit of Hamiltonian lattice systems using wavelet theory. A renormalization group step is determined by the scaling equation identifying lattice observables with the continuum field smeared by compactly supported wavelets.
  arXiv  Detail & Related papers  (2020-02-04T18:04:51Z)

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.