Distributed quantum incompatibility

• URL: http://arxiv.org/abs/2301.08670v2
• Date: Wed, 27 Sep 2023 09:40:02 GMT
• Title: Distributed quantum incompatibility
• Authors: Lucas Tendick, Hermann Kampermann, Dagmar Bru{\ss}
• Abstract summary: We show that the incompatibility which is gained via additional measurements is upper and lower bounded by certain functions of the incompatibility of subsets of the available measurements. We discuss the consequences of our results for the nonlocality that can be gained by enlarging the number of measurements in a Bell experiment.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Incompatible, i.e. non-jointly measurable quantum measurements are a necessary resource for many information processing tasks. It is known that increasing the number of distinct measurements usually enhances the incompatibility of a measurement scheme. However, it is generally unclear how large this enhancement is and on what it depends. Here, we show that the incompatibility which is gained via additional measurements is upper and lower bounded by certain functions of the incompatibility of subsets of the available measurements. We prove the tightness of some of our bounds by providing explicit examples based on mutually unbiased bases. Finally, we discuss the consequences of our results for the nonlocality that can be gained by enlarging the number of measurements in a Bell experiment.

Related papers

• Quantum state testing with restricted measurements [30.641152457827527]
  We develop an information-theoretic framework that yields unified copy complexity lower bounds for restricted families of non-adaptive measurements. We demonstrate a separation between these two schemes, showing the power of randomized measurement schemes over fixed ones.
  arXiv  Detail & Related papers  (2024-08-30T17:48:00Z)
• Classification of joint quantum measurements based on entanglement cost of localization [42.72938925647165]
  We propose a systematic classification of joint measurements based on entanglement cost. We show how to numerically explore higher levels and construct generalizations to higher dimensions and multipartite settings.
  arXiv  Detail & Related papers  (2024-08-01T18:00:01Z)
• On compatibility of binary qubit measurements [0.0]
  This work approaches the problem through functions defined on the Boolean hypercube and their Fourier transformations. We show that this reformulation of the problem leads to a complete geometric characterisation of joint measurability of any finite set of unbiased binary qubit measurements. We discuss our results in the realm of quantum steering, where they translate into a family of steering inequalities.
  arXiv  Detail & Related papers  (2024-07-10T14:44:12Z)
• 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)
• Measurement incompatibility is strictly stronger than disturbance [44.99833362998488]
  Heisenberg argued that measurements irreversibly alter the state of the system on which they are acting, causing an irreducible disturbance on subsequent measurements. This article shows that measurement incompatibility is indeed a sufficient condition for irreversibility of measurement disturbance. However, we exhibit a toy theory, termed the minimal classical theory (MCT), that is a counterexample for the converse implication.
  arXiv  Detail & Related papers  (2023-05-26T13:47:00Z)
• Evolution of many-body systems under ancilla quantum measurements [58.720142291102135]
  We study the concept of implementing quantum measurements by coupling a many-body lattice system to an ancillary degree of freedom. We find evidence of a disentangling-entangling measurement-induced transition as was previously observed in more abstract models.
  arXiv  Detail & Related papers  (2023-03-13T13:06:40Z)
• Experimentally determining the incompatibility of two qubit measurements [55.41644538483948]
  We describe and realize an experimental procedure for assessing the incompatibility of two qubit measurements. We demonstrate this fact in an optical setup, where the qubit states are encoded into the photons' polarization degrees of freedom.
  arXiv  Detail & Related papers  (2021-12-15T19:01:44Z)
• Optimized entropic uncertainty relations for multiple measurements [4.8723490038152635]
  We improve the lower bound of the entropic uncertainty relation for multiple measurements, termed as simply constructed bound (SCB) We verify that the SCB is tighter than Liu et al.'s result for arbitrary mutually unbiased basis measurements. It is believed that our findings would shed light on entropy-based uncertainty relations in the multiple measurement scenario.
  arXiv  Detail & Related papers  (2021-12-02T01:29:15Z)
• Quantifying incompatibility of quantum measurements through non-commutativity [0.0]
  Incompatible measurements are an important distinction between quantum mechanics and classical theories. We explore a family of incompatibility measures based on non-commutativity. We show that they satisfy some natural information-processing requirements. We also consider the behavior of our measures under different types of compositions.
  arXiv  Detail & Related papers  (2021-10-20T16:37:10Z)
• How well can we guess the outcome of measurements of non-commuting observables? [0.0]
  Heisenberg's uncertainty relation says there is an ultimate limit to how precisely we may predict the outcome of position and momentum measurements on a quantum system. We show that this limit may be violated by an arbitrarily large factor if one aims, instead, to guess the unknown value of a past measurement.
  arXiv  Detail & Related papers  (2021-03-30T13:31:36Z)
• Device-independent quantification of measurement incompatibility [0.0]
  Incompatible measurements are necessary to observe nonlocal correlations. We provide the direct link between Bell nonlocality and the quantification of measurement incompatibility.
  arXiv  Detail & Related papers  (2020-10-16T15:47:20Z)

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.