Quantum coherence and negative quasi probabilities in a contextual three-path interferometer

• URL: http://arxiv.org/abs/2507.22323v1
• Date: Wed, 30 Jul 2025 01:51:54 GMT
• Title: Quantum coherence and negative quasi probabilities in a contextual three-path interferometer
• Authors: Holger F. Hofmann,
• Abstract summary: Basic quantum effects are often illustrated using single particle interferences in two-path interferometers.<n>A wider range of non-classical phenomena can be illustrated using three-path interferometers.<n>I propose a characterization of pure states based on a five-stage interferometer.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Basic quantum effects are often illustrated using single particle interferences in two-path interferometers. A wider range of non-classical phenomena can be illustrated using three-path interferometers, but the increased complexity of quantum statistics in a three-dimensional Hilbert space makes it difficult to identify a representative set of observable properties that could be used to characterize specific phenomena. Here, I propose a characterization of pure states based on a five-stage interferometer recently introduced to demonstrate the relation between different measurement contexts (Optica Quantum 1, 63 (2023)). It is shown that the orthogonality relations between the states representing the different measurement contexts can be used to classify pure states within the three-dimensional Hilbert space according to the non-classical correlations between different contexts expressed by negative Kirkwood-Dirac distributions.

Related papers

• Evolution of multi-qubit correlations driven by mutual interactions [49.1574468325115]
  We analyze the evolution of the correlation tensor elements of quantum systems composed of $frac12$-spins.<n>We show how a strong external field can play a stabilizing factor with respect to certain correlation characteristics.
  arXiv  Detail & Related papers  (2025-07-01T11:45:08Z)
• Tracing quantum correlations back to collective interferences [0.04096453902709291]
  We investigate nonclassical correlations between two quantum systems in terms of quantum interferences between collective states of the two systems. We show that the relation between probability currents and correlations can be represented by continuous conditional (quasi)probability currents through the interferometer. Our results help to explain the meaning of nonlocal correlations in quantum mechanics, and support Feynman's claim that interference is the origin of all quantum phenomena.
  arXiv  Detail & Related papers  (2024-01-30T06:15:53Z)
• Contextual particle propagation in a three-path interferometer [0.0]
  Quantum information is based on contradictions between classical logic and quantum coherence. I discuss the paradoxical aspects of single photon interferences revealed by the three-path interferometer.
  arXiv  Detail & Related papers  (2023-12-21T08:44:59Z)
• Quantitative relations between different measurement contexts [0.054390204258189995]
  In quantum theory, a measurement context is defined by an basis in a Hilbert space, where each basis vector represents a specific measurement outcome. We show that the probabilities that describe the paradoxes of quantum contextuality can be derived from a very small number of inner products. The nonlocality of quantum entanglement can be traced back to a local inner product representing the relation between measurement contexts in only one system.
  arXiv  Detail & Related papers  (2023-05-24T08:26:09Z)
• Three-Path Quantum Cheshire Cat Observed in Neutron Interferometry [1.4680035572775534]
  The paradoxical phenomenon of the quantum Cheshire Cat (qCC) refers to situations where different properties of a particle appear to be localised in different paths of an interferometer. The localisations are determined qualitatively through conspicuous changes induced by weak interactions. It is demonstrated that the three properties of neutrons are found separated in different paths in the interferometer.
  arXiv  Detail & Related papers  (2023-03-31T14:30:16Z)
• Interference in quantum field theory: detecting ghosts with phases [0.0]
  We consider the interaction of two charges via a mediating quantum field and the resulting interference pattern in the Lorenz gauge. Using the Heisenberg picture, we propose that detecting relative phases or entanglement between two charges in an interference experiment is equivalent to accessing empirically the gauge degrees of freedom.
  arXiv  Detail & Related papers  (2022-07-22T21:39:30Z)
• Quantum correlations, entanglement spectrum and coherence of two-particle reduced density matrix in the Extended Hubbard Model [62.997667081978825]
  We study the ground state properties of the one-dimensional extended Hubbard model at half-filling. In particular, in the superconducting region, we obtain that the entanglement spectrum signals a transition between a dominant singlet (SS) to triplet (TS) pairing ordering in the system.
  arXiv  Detail & Related papers  (2021-10-29T21:02:24Z)
• Quantum asymmetry and noisy multi-mode interferometry [55.41644538483948]
  Quantum asymmetry is a physical resource which coincides with the amount of coherence between the eigenspaces of a generator. We show that the asymmetry may emphincrease as a result of a emphdecrease of coherence inside a degenerate subspace.
  arXiv  Detail & Related papers  (2021-07-23T07:30:57Z)
• Bose-Einstein condensate soliton qubit states for metrological applications [58.720142291102135]
  We propose novel quantum metrology applications with two soliton qubit states. Phase space analysis, in terms of population imbalance - phase difference variables, is also performed to demonstrate macroscopic quantum self-trapping regimes.
  arXiv  Detail & Related papers  (2020-11-26T09:05:06Z)
• Emergence of classical behavior in the early universe [68.8204255655161]
  Three notions are often assumed to be essentially equivalent, representing different facets of the same phenomenon. We analyze them in general Friedmann-Lemaitre- Robertson-Walker space-times through the lens of geometric structures on the classical phase space. The analysis shows that: (i) inflation does not play an essential role; classical behavior can emerge much more generally; (ii) the three notions are conceptually distinct; classicality can emerge in one sense but not in another.
  arXiv  Detail & Related papers  (2020-04-22T16:38:25Z)
• Quantum decoherence by Coulomb interaction [58.720142291102135]
  We present an experimental study of the Coulomb-induced decoherence of free electrons in a superposition state in a biprism electron interferometer close to a semiconducting and metallic surface. The results will enable the determination and minimization of specific decoherence channels in the design of novel quantum instruments.
  arXiv  Detail & Related papers  (2020-01-17T04:11:44Z)

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.