Contextuality of quantum fluctuations characterized by conditional weak values of entangled states

• URL: http://arxiv.org/abs/2009.06145v2
• Date: Fri, 4 Dec 2020 02:11:36 GMT
• Title: Contextuality of quantum fluctuations characterized by conditional weak values of entangled states
• Authors: Holger F. Hofmann
• Abstract summary: Quantum theory indicates that the effective distribution of values taken by the physical property depends on the specific measurement context based on which these values are determined and weak values have been identified as the contextual values. Here, the relation between classical statistics and quantum contextuality is explored by considering systems entangled with a quantum reference. The results show that mixed state statistics are consistent with a wide range of potential contexts, indicating that the precise definition of a context requires maximal quantum coherence in both state preparation and measurement.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The quantum fluctuations of a physical property can be observed in the measurement statistics of any measurement that is at least partially sensitive to that physical property. Quantum theory indicates that the effective distribution of values taken by the physical property depends on the specific measurement context based on which these values are determined and weak values have been identified as the contextual values describing this dependence of quantum fluctuations on the measurement context. Here, the relation between classical statistics and quantum contextuality is explored by considering systems entangled with a quantum reference. The quantum fluctuations of the system can then be steered by precise projective measurements of the reference, resulting in different contextual values of the quantum fluctuations depending on the effective state preparation context determined by the measurement of the reference. The results show that mixed state statistics are consistent with a wide range of potential contexts, indicating that the precise definition of a context requires maximal quantum coherence in both state preparation and measurement.

Related papers

• Effect of the readout efficiency of quantum measurement on the system entanglement [44.99833362998488]
  We quantify the entanglement for a particle on a 1d quantum random walk under inefficient monitoring. We find that the system's maximal mean entanglement at the measurement-induced quantum-to-classical crossover is in different ways by the measurement strength and inefficiency.
  arXiv  Detail & Related papers  (2024-02-29T18:10:05Z)
• Entropic uncertainty relations and entanglement detection from quantum designs [5.928675196115795]
  We investigate entropic uncertainty relations and entanglement detection with an emphasis on quantum measurements with design structures. We derive improved R'enyi entropic uncertainty relations for design-structured measurements. We obtain criteria for detecting multi-partite entanglement with design-structured measurements.
  arXiv  Detail & Related papers  (2023-12-15T13:11:00Z)
• Enhanced Entanglement in the Measurement-Altered Quantum Ising Chain [46.99825956909532]
  Local quantum measurements do not simply disentangle degrees of freedom, but may actually strengthen the entanglement in the system. This paper explores how a finite density of local measurement modifies a given state's entanglement structure.
  arXiv  Detail & Related papers  (2023-10-04T09:51:00Z)
• 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)
• Quantifying measurement-induced quantum-to-classical crossover using an open-system entanglement measure [49.1574468325115]
  We study the entanglement of a single particle under continuous measurements. We find that the entanglement at intermediate time scales shows the same qualitative behavior as a function of the measurement strength.
  arXiv  Detail & Related papers  (2023-04-06T09:45:11Z)
• Full counting statistics as probe of measurement-induced transitions in the quantum Ising chain [62.997667081978825]
  We show that local projective measurements induce a modification of the out-of-equilibrium probability distribution function of the local magnetization. In particular we describe how the probability distribution of the former shows different behaviour in the area-law and volume-law regimes.
  arXiv  Detail & Related papers  (2022-12-19T12:34:37Z)
• Dependence of measurement outcomes on the dynamics of quantum coherent interactions between the system and the meter [0.0]
  We show that the values of physical properties obtained in quantum measurements originate from the quantum coherent system dynamics associated with the back-action on the system. Measurement outcomes represent elements of the dynamics and cannot be explained by measurement independent elements of reality.
  arXiv  Detail & Related papers  (2022-09-01T23:23:23Z)
• Energy fluctuation relations and repeated quantum measurements [4.724825031148412]
  We discuss the statistical description in non-equilibrium regimes of energy fluctuations originated by the interaction between a quantum system and a measurement apparatus. To properly quantify the information about energy fluctuations, both the exchanged heat probability density function and the corresponding characteristic function are derived and interpreted.
  arXiv  Detail & Related papers  (2022-02-05T16:20:13Z)
• Observing a Topological Transition in Weak-Measurement-Induced Geometric Phases [55.41644538483948]
  Weak measurements in particular, through their back-action on the system, may enable various levels of coherent control. We measure the geometric phases induced by sequences of weak measurements and demonstrate a topological transition in the geometric phase controlled by measurement strength. Our results open new horizons for measurement-enabled quantum control of many-body topological states.
  arXiv  Detail & Related papers  (2021-02-10T19:00:00Z)
• Quantum coherence and correlation measures based on affinity [1.3907460999698045]
  Coherence and correlation are key features of the quantum system. We identify an affinity-based metric to quantify closeness between two states. We propose a bipartite quantum correlation measure based on the affinity metric.
  arXiv  Detail & Related papers  (2020-03-29T17:03:52Z)
• Direct estimation of quantum coherence by collective measurements [54.97898890263183]
  We introduce a collective measurement scheme for estimating the amount of coherence in quantum states. Our scheme outperforms other estimation methods based on tomography or adaptive measurements. We show that our method is accessible with today's technology by implementing it experimentally with photons.
  arXiv  Detail & Related papers  (2020-01-06T03:50:42Z)

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.