Quantum diffusion as a process of linear quantum dynamics

• URL: http://arxiv.org/abs/2203.00586v1
• Date: Tue, 1 Mar 2022 16:16:17 GMT
• Title: Quantum diffusion as a process of linear quantum dynamics
• Authors: Karl-Erik Eriksson
• Abstract summary: Quantum diffusion could explain how a system, subject to measurement, goes into an eigenstate of the measured observable. In contrast to what is widely believed, quantum measurement can be analyzed within the theory of quantum mechanics itself.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: Quantum diffusion, as developed in the 1990s, could explain how a system, subject to measurement, goes into an eigenstate of the measured observable. Here it is shown that quantum diffusion theory can be interpreted as a result within linear relativistic quantum mechanics. Thus, in contrast to what is widely believed, quantum measurement can be analyzed within the theory of quantum mechanics itself.

Related papers

• Semiclassical gravity phenomenology under the causal-conditional quantum measurement prescription II: Heisenberg picture and apparent optical entanglement [13.04737397490371]
  In quantum gravity theory, a state-dependent gravitational potential introduces nonlinearity into the state evolution. The formalism for understanding the continuous quantum measurement process on the quantum state has been previously discussed using the Schr"odinger picture. In this work, an equivalent formalism using the Heisenberg picture is developed and applied to the analysis of two optomechanical experiment protocols.
  arXiv  Detail & Related papers  (2024-11-08T14:07:18Z)
• A Theory of Quantum Jumps [44.99833362998488]
  We study fluorescence and the phenomenon of quantum jumps'' in idealized models of atoms coupled to the quantized electromagnetic field. Our results amount to a derivation of the fundamental randomness in the quantum-mechanical description of microscopic systems.
  arXiv  Detail & Related papers  (2024-04-16T11:00:46Z)
• The Universe as a Learning System [0.0]
  We propose that under general requirements, quantum systems follow a disrupted version of the gradient descent model. Such a learning process is possible only when we assume dissipation, i.e., that the quantum system is open.
  arXiv  Detail & Related papers  (2024-02-22T10:11:51Z)
• Observation of partial and infinite-temperature thermalization induced by repeated measurements on a quantum hardware [62.997667081978825]
  We observe partial and infinite-temperature thermalization on a quantum superconducting processor. We show that the convergence does not tend to a completely mixed (infinite-temperature) state, but to a block-diagonal state in the observable basis.
  arXiv  Detail & Related papers  (2022-11-14T15:18:11Z)
• Schr\"odinger cat states of a 16-microgram mechanical oscillator [54.35850218188371]
  The superposition principle is one of the most fundamental principles of quantum mechanics. Here we demonstrate the preparation of a mechanical resonator with an effective mass of 16.2 micrograms in Schr"odinger cat states of motion. We show control over the size and phase of the superposition and investigate the decoherence dynamics of these states.
  arXiv  Detail & Related papers  (2022-11-01T13:29:44Z)
• The power of noisy quantum states and the advantage of resource dilution [62.997667081978825]
  Entanglement distillation allows to convert noisy quantum states into singlets. We show that entanglement dilution can increase the resilience of shared quantum states to local noise.
  arXiv  Detail & Related papers  (2022-10-25T17:39:29Z)
• Demonstrating Quantum Microscopic Reversibility Using Coherent States of Light [58.8645797643406]
  We propose and experimentally test a quantum generalization of the microscopic reversibility when a quantum system interacts with a heat bath. We verify that the quantum modification for the principle of microscopic reversibility is critical in the low-temperature limit.
  arXiv  Detail & Related papers  (2022-05-26T00:25:29Z)
• Relation between Quantum Coherence and Quantum Entanglement in Quantum Measurements [3.8073142980733]
  We set up resource theories of quantum coherence and quantum entanglement for quantum measurements. For this, we conceive a relative entropy type quantity to account for the quantum resources of quantum measurements. Our results confirm that the understanding on the link between quantum coherence and quantum entanglement is valid even for quantum measurements which do not generate any quantum resource.
  arXiv  Detail & Related papers  (2022-02-25T12:24:32Z)
• 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)
• The measurement problem and the completeness of quantum state [0.0]
  We describe quantum measurement process as two-step physical process. We conclude that the measurement is just a corollary of the completeness of quantum state.
  arXiv  Detail & Related papers  (2021-04-07T19:46:14Z)
• Taking snapshots of a quantum thermalization process: emergent classicality in quantum jump trajectories [0.0]
  We show via a random matrix theory approach to nonintegrable quantum systems that the set of outcomes of the measurement of a macroscopic observable evolve in time like variables. Our results show how to extend the framework of eigenstate thermalization to the prediction of properties of quantum measurements on an otherwise closed quantum system.
  arXiv  Detail & Related papers  (2020-03-18T18:32:47Z)

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.