A statistical model for quantum spin and photon number states

• URL: http://arxiv.org/abs/2304.13535v2
• Date: Thu, 19 Dec 2024 13:11:57 GMT
• Title: A statistical model for quantum spin and photon number states
• Authors: Sam Powers, Guangpeng Xu, Herbert Fotso, Tim Thomay, Dejan Stojkovic,
• Abstract summary: We show that the probabilities that arise in quantum theory can be reduced to counting more fundamental ontic states. A completely self contained formalism is developed for the purpose of organizing and counting these ontic states. This formalism is then used to calculate probability distributions associated with particles of arbitrary spin interacting with sequences of two rotated Stern-Gerlach detectors.
• Score: 0.0
• License:
• Abstract: The most irreducible way to represent information is a sequence of two symbols. In this paper, we construct quantum states using this basic building block. Specifically, we show that the probabilities that arise in quantum theory can be reduced to counting more fundamental ontic states, which we interpret as event networks and model using sequences of 0's and 1's. A completely self contained formalism is developed for the purpose of organizing and counting these ontic states, which employs the finite cyclic group $\mathbb{Z}_2 = \{0, 1\}$, basic set theory, and combinatorics. This formalism is then used to calculate probability distributions associated with particles of arbitrary spin interacting with sequences of two rotated Stern-Gerlach detectors. These calculations are compared with the predictions of non-relativistic quantum mechanics and shown to deviate slightly. This deviation can be made arbitrarily small and does not lead to violations of relevant no-go theorems, such as Bell's inequalities, the Kochen-Specker theorem, or the PBR theorem. The proposed model is then extended to an optical system involving photon number states passing through a beam splitter. Leveraging recent advancements in high precision experiments on these systems, we then propose a means of testing the new model using a tabletop experiment.

Related papers

• The composition rule for quantum systems is not the only possible one [0.0]
  We argue that the composition postulate deserves to be experimentally scrutinised independently of the other features of quantum theory. We formulate a family of operational theories that are solely distinguished from standard quantum theory by their system-composition rule.
  arXiv  Detail & Related papers  (2024-11-24T19:31:13Z)
• Connecting classical finite exchangeability to quantum theory [45.76759085727843]
  Exchangeability is a fundamental concept in probability theory and statistics. It allows to model situations where the order of observations does not matter. It is well known that both theorems do not hold for finitely exchangeable sequences.
  arXiv  Detail & Related papers  (2023-06-06T17:15:19Z)
• Fundamental properties of beam-splitters in classical and quantum optics [0.0]
  A beam-splitter has certain (complex-valued) probability amplitudes for sending an incoming photon into one of two possible directions. We use elementary laws of classical and quantum optics to obtain general relations among the magnitudes and phases of these probability amplitudes. A simple application of the Feynman method provides a form of justification for the Bose enhancement implicit in the well-known formulas.
  arXiv  Detail & Related papers  (2023-03-23T22:45:32Z)
• Consistent Quantum Causes [2.1756081703276]
  The Consistent Histories approach provides such a theory. It justifies the usual laboratory intuition that properly tested apparatus can reveal the earlier microscopic cause. The use of quantum circuits in discussions of quantum information in a time-irreversible manner can prevent the proper identification of earlier causes.
  arXiv  Detail & Related papers  (2023-03-23T19:09:02Z)
• Non-Abelian braiding of graph vertices in a superconducting processor [144.97755321680464]
  Indistinguishability of particles is a fundamental principle of quantum mechanics. braiding of non-Abelian anyons causes rotations in a space of degenerate wavefunctions. We experimentally verify the fusion rules of the anyons and braid them to realize their statistics.
  arXiv  Detail & Related papers  (2022-10-19T02:28:44Z)
• Why we should interpret density matrices as moment matrices: the case of (in)distinguishable particles and the emergence of classical reality [69.62715388742298]
  We introduce a formulation of quantum theory (QT) as a general probabilistic theory but expressed via quasi-expectation operators (QEOs) We will show that QT for both distinguishable and indistinguishable particles can be formulated in this way. We will show that finitely exchangeable probabilities for a classical dice are as weird as QT.
  arXiv  Detail & Related papers  (2022-03-08T14:47:39Z)
• Entanglement dynamics of thermofield double states in integrable models [0.0]
  We study the entanglement dynamics of thermofield double (TFD) states in integrable spin chains and quantum field theories. We show that, for a natural choice of the Hamiltonian eigenbasis, the TFD evolution may be interpreted as a quantum quench from an initial state. We conjecture a formula for the entanglement dynamics, which is valid for both discrete and continuous integrable field theories.
  arXiv  Detail & Related papers  (2021-12-03T16:40:36Z)
• An alternative formalism for modeling spin [0.0]
  We present an alternative formalism for modeling spin. The ontological elements of this formalism are base-2 sequences of length $n$. The machinery necessary to model physics is then developed by considering correlations between base-2 sequences.
  arXiv  Detail & Related papers  (2021-10-24T15:49:48Z)
• Photon-mediated Stroboscopic Quantum Simulation of a $\mathbb{Z}_{2}$ Lattice Gauge Theory [58.720142291102135]
  Quantum simulation of lattice gauge theories (LGTs) aims at tackling non-perturbative particle and condensed matter physics. One of the current challenges is to go beyond 1+1 dimensions, where four-body (plaquette) interactions, not contained naturally in quantum simulating devices, appear. We show how to prepare the ground state and measure Wilson loops using state-of-the-art techniques in atomic physics.
  arXiv  Detail & Related papers  (2021-07-27T18:10:08Z)
• Single photon randomness originating from the symmetry of dipole emission and the unpredictability of spontaneous emission [55.41644538483948]
  Quantum random number generation is a key ingredient for quantum cryptography and fundamental quantum optics. We experimentally demonstrate quantum random number generation based on the spontaneous emission process. The scheme can be extended to random number generation by coherent single photons with potential applications in solid-state based quantum communication at room temperature.
  arXiv  Detail & Related papers  (2021-02-18T14:07:20Z)
• Models of zero-range interaction for the bosonic trimer at unitarity [91.3755431537592]
  We present the construction of quantum Hamiltonians for a three-body system consisting of identical bosons mutually coupled by a two-body interaction of zero range. For a large part of the presentation, infinite scattering length will be considered.
  arXiv  Detail & Related papers  (2020-06-03T17:54:43Z)

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.