Probability representation of photon states and tomography

• URL: http://arxiv.org/abs/2001.10361v1
• Date: Sun, 26 Jan 2020 21:02:53 GMT
• Title: Probability representation of photon states and tomography
• Authors: Vladimir N. Chernega, Olga V. Man'ko, Vladimir I. Man'ko
• Abstract summary: We present the formalism of quantum states and quantum observables using the formalism of standard probability distributions and classical-like random variables. We study the coherent and number states of photons in the probability representation and obtain the evolution equation and energy spectra in the form of equations for probability distributions.
• Score: 1.2891210250935143
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We give a review of the tomographic probability representation of quantum mechanics. We present the formalism of quantum states and quantum observables using the formalism of standard probability distributions and classical-like random variables. We study the coherent and number states of photons in the probability representation and obtain the evolution equation and energy spectra in the form of equations for probability distributions.

Related papers

• Entanglement of photonic modes from a continuously driven two-level system [34.50067763557076]
  We experimentally generate entangled photonic modes by continuously exciting a quantum emitter, a superconducting qubit, with a coherent drive. We show that entanglement is generated between modes extracted from the two sidebands of the resonance fluorescence spectrum. Our approach can be utilized to distribute entanglement at a high rate in various physical platforms.
  arXiv  Detail & Related papers  (2024-07-10T18:48:41Z)
• Partial symplectic quantum tomography schemes. Observables, evolution equations, and stationary states equations [0.0]
  Partial symplectic conditional and joint probability representations of quantum mechanics are considered. The correspondence rules for most interesting physical operators are found and the expressions of the dual symbols of operators are derived.
  arXiv  Detail & Related papers  (2024-05-30T20:25:09Z)
• Quantum Systems from Random Probabilistic Automata [0.0]
  Probabilistic cellular automata with deterministic updating are quantum systems. We find particular initial probability which distributions reemerge periodically after a certain number of time steps. Conservation of energy and momentum are essential ingredients for the understanding of the evolution of our probabilistic automata.
  arXiv  Detail & Related papers  (2024-05-16T06:06:04Z)
• Testing trajectory-based determinism via time probability distributions [44.99833362998488]
  Bohmian mechanics (BM) has inherited more predictive power than quantum mechanics (QM) We introduce a prescription for constructing a flight-time probability distribution within generic trajectory-equipped theories. We derive probability distributions that are unreachable by QM.
  arXiv  Detail & Related papers  (2024-04-15T11:36:38Z)
• Foundations of non-commutative probability theory (Extended abstract) [1.8782750537161614]
  Kolmogorov's setting for probability theory is given an original generalization to account for probabilities arising from Quantum Mechanics. The sample space has a central role in this presentation and random variables, i.e., observables, are defined in a natural way.
  arXiv  Detail & Related papers  (2023-06-01T20:34:01Z)
• Entangled probability distributions [1.2891210250935143]
  Concept of entangled probability distribution of several random variables is introduced. These probability distributions describe multimode quantum states in probability representation of quantum mechanics. Example of entangled probability distribution is considered.
  arXiv  Detail & Related papers  (2023-02-25T11:43:21Z)
• Quantum dynamics corresponding to chaotic BKL scenario [62.997667081978825]
  Quantization smears the gravitational singularity avoiding its localization in the configuration space. Results suggest that the generic singularity of general relativity can be avoided at quantum level.
  arXiv  Detail & Related papers  (2022-04-24T13:32:45Z)
• 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)
• Quantum indistinguishability through exchangeable desirable gambles [69.62715388742298]
  Two particles are identical if all their intrinsic properties, such as spin and charge, are the same. Quantum mechanics is seen as a normative and algorithmic theory guiding an agent to assess her subjective beliefs represented as (coherent) sets of gambles. We show how sets of exchangeable observables (gambles) may be updated after a measurement and discuss the issue of defining entanglement for indistinguishable particle systems.
  arXiv  Detail & Related papers  (2021-05-10T13:11:59Z)
• 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)
• Spin kinetic equations in the probability representation of quantum mechanics [1.5229257192293197]
  We discuss the possibility to formulate the dynamics of spin states described by the Schrodinger equation for pure states. We review an approach to the spin-state description by means of the probability distributions of dichotomic random variables.
  arXiv  Detail & Related papers  (2020-03-01T13:08:10Z)

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.