Zero Uncertainty States in the Presence of Quantum Memory

• URL: http://arxiv.org/abs/2003.02103v2
• Date: Tue, 20 Jul 2021 13:32:30 GMT
• Title: Zero Uncertainty States in the Presence of Quantum Memory
• Authors: Huangjun Zhu
• Abstract summary: We establish a simple connection between zero uncertainty and maximum entanglement. This is of interest to foundational studies and practical applications, including quantum certification and verification.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The uncertainty principle imposes a fundamental limit on predicting the measurement outcomes of incompatible observables even if complete classical information of the system state is known. The situation is different if one can build a quantum memory entangled with the system. Zero uncertainty states (in contrast with minimum uncertainty states) are peculiar quantum states that can eliminate uncertainties of incompatible von Neumann observables once assisted by suitable measurements on the memory. Here we determine all zero uncertainty states of any given set of nondegenerate observables and determine the minimum entanglement required. It turns out all zero uncertainty states are maximally entangled in a generic case, and vice versa, even if these observables are only weakly incompatible. Our work establishes a simple and precise connection between zero uncertainty and maximum entanglement, which is of interest to foundational studies and practical applications, including quantum certification and verification.

Related papers

• 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)
• The uncertainty of quantum states with respect to the projective measurement [0.0]
  The uncertainty relation is a distinctive characteristic of quantum theory. In this work we regard the uncertainty as an intrinsic property of quantum state. We propose a new uncertainty measure called the geometric uncertainty based on the fidelity and link it with the geometric coherence.
  arXiv  Detail & Related papers  (2024-05-30T00:47:19Z)
• 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)
• Quantum Discord Witness with Uncharacterized Devices [18.751513188036334]
  We propose a new approach using uncharacterized measurements to witness quantum discord of an unknown bipartite state within arbitrary dimension system. The feature of high robustness against device imperfections, such as loss-tolerance and error-tolerance, shows our method is experimentally feasible.
  arXiv  Detail & Related papers  (2023-03-20T14:51:53Z)
• Non-equilibrium stationary states of quantum non-Hermitian lattice models [68.8204255655161]
  We show how generic non-Hermitian tight-binding lattice models can be realized in an unconditional, quantum-mechanically consistent manner. We focus on the quantum steady states of such models for both fermionic and bosonic systems.
  arXiv  Detail & Related papers  (2021-03-02T18:56:44Z)
• Impossibility of creating a superposition of unknown quantum states [16.467540842571328]
  We show that the existence of a protocol that superposes two unknown pure states with nonzero probability leads to violation of other no-go theorems. Such a protocol can be used to perform certain state discrimination and cloning tasks that are forbidden in quantum theory.
  arXiv  Detail & Related papers  (2020-11-04T13:25:42Z)
• Quantum correlations and quantum-memory-assisted entropic uncertainty relation in a quantum dot system [0.0]
  Uncertainty principle is one of the comprehensive and fundamental concept in quantum theory. We will study the quantum correlation and quantum memory assisted entropic uncertainty in a quantum dot system.
  arXiv  Detail & Related papers  (2020-06-08T05:16:09Z)
• Improved tripartite uncertainty relation with quantum memory [5.43508370077166]
  Uncertainty principle is a striking and fundamental feature in quantum mechanics. In quantum information theory, this uncertainty principle is popularly formulized in terms of entropy. We present an improvement of tripartite quantum-memory-assisted entropic uncertainty relation.
  arXiv  Detail & Related papers  (2020-04-09T03:54:51Z)
• 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)
• Tighter uncertainty relations based on Wigner-Yanase skew information for observables and channels [1.2375561840897742]
  Wigner-Yanase skew information, as a measure of quantum uncertainties, is used to characterize intrinsic features of the state and the observable. We investigate the sum uncertainty relations for both quantum mechanical observables and quantum channels based on skew information.
  arXiv  Detail & Related papers  (2020-02-27T02:40:23Z)
• 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.