Experimental investigation of the relation between measurement uncertainties and non-local quantum correlations

• URL: http://arxiv.org/abs/2106.01052v1
• Date: Wed, 2 Jun 2021 09:58:38 GMT
• Title: Experimental investigation of the relation between measurement uncertainties and non-local quantum correlations
• Authors: Kengo Matsuyama, Holger F. Hofmann, Masataka Iinuma
• Abstract summary: Bell's inequalities are defined by sums of correlations involving non-commuting observables in each of the two systems. Violations of Bell's inequalities are only possible because the precision of any joint measurement of these observables will be limited by quantum mechanical uncertainty relations.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Bell's inequalities are defined by sums of correlations involving non-commuting observables in each of the two systems. Violations of Bell's inequalities are only possible because the precision of any joint measurement of these observables will be limited by quantum mechanical uncertainty relations. In this paper we explore the relation between the local measurement uncertainties and the magnitude of the correlations by preparing polarization entangled photon pairs and performing joint measurements of non-commuting polarization components at different uncertainty trade-offs. The change in measurement visibility reveals the existence of a non-trivial balance between the measurement uncertainties where the probabilities of a specific pair of measurement outcomes approaches zero because of the particular combination of enhancement and suppression of the experimentally observed correlations. The occurrence of these high-contrast results shows that the quantum correlations between the photons are close to their maximal value, confirming that the Cirel'son bound of Bell's inequality violations is defined by the minimal uncertainties that limit the precision of joint measurements.

Related papers

• Breakdown of Measurement-Induced Phase Transitions Under Information Loss [39.36827689390718]
  A quantum-many body system can feature measurement-induced phase transitions (MIPTs) MIPTs cannot be revealed through ensemble-averaged observables, but it requires the ability to discriminate each trajectory separately. We explore the fate of MIPTs under an observer's reduced ability to discriminate each measurement outcome.
  arXiv  Detail & Related papers  (2024-07-18T18:10:52Z)
• Error estimation of different schemes to measure spin-squeezing inequalities [0.0]
  In this paper, we focus on the measurement of spin-squeezing inequalities in multi-qubit systems. We show that spin-squeezing inequalities can not only be evaluated by measurements of the total angular momentum but also by two-qubit correlations. For this purpose, we discuss how error bounds can be derived for non-linear estimators with the help of their variances.
  arXiv  Detail & Related papers  (2023-11-29T17:49:10Z)
• 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)
• Sequential sharing of two-qudit entanglement based on the entropic uncertainty relation [15.907303576427644]
  Entanglement and uncertainty relation are two focuses of quantum theory. We relate entanglement sharing to the entropic uncertainty relation in a $(dtimes d)$-dimensional system via weak measurements with different pointers.
  arXiv  Detail & Related papers  (2023-04-12T12:10:07Z)
• Multipartite entanglement detection based on generalized state-dependent entropic uncertainty relation for multiple measurements [15.907303576427644]
  We present the generalized state-dependent entropic uncertainty relations for multiple measurement settings. We give the experimentally accessible lower bounds on both bipartite and tripartite entanglements.
  arXiv  Detail & Related papers  (2022-11-02T06:26:07Z)
• Uncertainty relation for indirect measurement [4.111899441919164]
  Indirect measurement can be used to read out the outcome of a quantum system without resorting to a straightforward approach. We derive a new measurement uncertainty with respect to indirect measurement in the light of quantum thermodynamics.
  arXiv  Detail & Related papers  (2022-08-05T18:11:24Z)
• Uncertainty relations from graph theory [0.0]
  Quantum measurements are inherently probabilistic and quantum theory often forbids to precisely predict the outcomes of simultaneous measurements. We derive uncertainty relations valid for any set of dichotomic observables. As applications, our results can be straightforwardly used to formulate entropic uncertainty relations, separability criteria and entanglement witnesses.
  arXiv  Detail & Related papers  (2022-07-05T17:57:31Z)
• Disturbance Enhanced Uncertainty Relations [2.075038010521211]
  We show that disturbance of one measurement to a subsequent measurement sets lower-bounds to uncertainty. The obtained relations, referred to as disturbance enhanced uncertainty relations, immediately find various applications in the field of quantum information. We anticipate that this new twist on uncertainty principle may shed new light on quantum foundations and may also inspire further applications in the field of quantum information.
  arXiv  Detail & Related papers  (2022-02-15T08:37:24Z)
• 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)
• Experimental test of the majorization uncertainty relation with mixed states [6.613272059966484]
  The uncertainty relation lies at the heart of quantum theory and behaves as a non-classical constraint on the indeterminacies of incompatible observables in a system. In this work we test the novel majorization uncertainty relations of three incompatible observables using a series of mixed states with adjustable mixing degrees.
  arXiv  Detail & Related papers  (2021-04-07T01:18:32Z)

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.