Multiple uncertainty relation for accelerated quantum information

• URL: http://arxiv.org/abs/2004.09736v5
• Date: Mon, 16 Nov 2020 06:29:58 GMT
• Title: Multiple uncertainty relation for accelerated quantum information
• Authors: Chen Qian, Ya-Dong Wu, Jia-Wei Ji, Yunlong Xiao and Barry C. Sanders
• Abstract summary: We demonstrate a relativistic protocol of an uncertainty game in the presence of localized fermionic quantum fields inside cavities. A novel lower bound for entropic uncertainty relations with multiple quantum memories is given in terms of the Holevo quantity.
• Score: 8.598192865991367
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The uncertainty principle, first introduced by Heisenberg in inertial frames, clearly distinguishes quantum theories from classical mechanics. In non-inertial frames, its information-theoretic expressions, namely entropic uncertainty relations, have been extensively studied through delocalized quantum fields, and localization of the quantum fields were discussed as well. However, infeasibility of measurements applied on a delocalized quantum field due to the finite size of measurement apparatuses is left unexplained. Therefore, physical clarification of a quantum protocol revealing entropic uncertainty relations still needs investigation. Building on advances in quantum field theories and theoretical developments in entropic uncertainty relations, we demonstrate a relativistic protocol of an uncertainty game in the presence of localized fermionic quantum fields inside cavities. Moreover, a novel lower bound for entropic uncertainty relations with multiple quantum memories is given in terms of the Holevo quantity, which implies how acceleration affects uncertainty relations.

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)
• Observing tight triple uncertainty relations in two-qubit systems [21.034105385856765]
  We demonstrate the uncertainty relations in two-qubit systems involving three physical components with the tight constant $2/sqrt3$. Our results provide a new insight into understanding the uncertainty relations with multiple observables and may motivate more innovative applications in quantum information science.
  arXiv  Detail & Related papers  (2024-10-08T11:24:24Z)
• Causality and a possible interpretation of quantum mechanics [2.7398542529968477]
  Based on quantum field theory, our work provides a framework that harmoniously integrates relativistic causality, quantum non-locality, and quantum measurement. We use reduced density matrices to represent the local information of the quantum state and show that the reduced density matrices cannot evolve superluminally. Unlike recent approaches that focus on causality by introducing new operators to describe detectors, we consider that everything--including detectors, environments, and humans--is composed of the same fundamental fields.
  arXiv  Detail & Related papers  (2024-02-08T07:07:22Z)
• The effects of detuning on entropic uncertainty bound and quantum correlations in dissipative environment [0.0]
  We will use the entropic uncertainty relation in the presence of quantum memory. The effects of the detuning between the transition frequency of a quantum memory and the center frequency of a cavity on entrpic uncertainty bound and quantum correlation between quantum memory and measured particle will be studied.
  arXiv  Detail & Related papers  (2024-01-18T08:04:53Z)
• Experimental investigation of quantum uncertainty relations with classical shadows [7.675613458661457]
  We experimentally investigate quantum uncertainty relations construed with relative entropy of coherence. We prepare a family of quantum states whose purity can be fully controlled. Our results indicate the tightness of quantum coherence lower bounds dependents on the reference bases as well as the purity of quantum state.
  arXiv  Detail & Related papers  (2022-02-14T00:26:31Z)
• Experimental study of quantum uncertainty from lack of information [3.901856932788151]
  The uncertainty in the classical domain comes from the lack of information about the exact state of the system. In this paper we investigate the issue experimentally by implementing the corresponding two-dimensional and three-dimensional guessing games. Our results confirm that within the guessing-game framework, the quantum uncertainty to a large extent relies on the fact that quantum information determining the key properties of the game is stored in the degrees of freedom that remain inaccessible to the guessing party.
  arXiv  Detail & Related papers  (2021-05-19T09:15:27Z)
• Quantum Causal Inference in the Presence of Hidden Common Causes: an Entropic Approach [34.77250498401055]
  We put forth a new theoretical framework for merging quantum information science and causal inference by exploiting entropic principles. We apply our proposed framework to an experimentally relevant scenario of identifying message senders on quantum noisy links. This approach can lay the foundations of identifying originators of malicious activity on future multi-node quantum networks.
  arXiv  Detail & Related papers  (2021-04-24T22:45:50Z)
• Experimental quantum phase discrimination enhanced by controllable indistinguishability-based coherence [13.745478068219699]
  Coherence emerges in a fundamentally different way for nonidentical and identical particles. We experimentally demonstrate this additional contribution to quantum coherence. Our experiment proves that independent indistinguishable particles can supply a controllable resource of coherence.
  arXiv  Detail & Related papers  (2021-03-27T03:50:03Z)
• Entropic Uncertainty Relations and the Quantum-to-Classical transition [77.34726150561087]
  We aim to shed some light on the quantum-to-classical transition as seen through the analysis of uncertainty relations. We employ entropic uncertainty relations to show that it is only by the inclusion of imprecision in our model of macroscopic measurements that we can prepare a system with two simultaneously well-defined quantities.
  arXiv  Detail & Related papers  (2020-03-04T14:01:17Z)
• Quantum Mechanical description of Bell's experiment assumes Locality [91.3755431537592]
  Bell's experiment description assumes the (Quantum Mechanics-language equivalent of the classical) condition of Locality. This result is complementary to a recently published one demonstrating that non-Locality is necessary to describe said experiment. It is concluded that, within the framework of Quantum Mechanics, there is absolutely no reason to believe in the existence of non-Local effects.
  arXiv  Detail & Related papers  (2020-02-27T15:04:08Z)
• An optimal measurement strategy to beat the quantum uncertainty in correlated system [0.6091702876917281]
  Uncertainty principle undermines the precise measurement of incompatible observables. Entanglement, another unique feature of quantum physics, was found may help to reduce the quantum uncertainty.
  arXiv  Detail & Related papers  (2020-02-23T05:27:36Z)

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.