Incompatible measurements in quantum information science
- URL: http://arxiv.org/abs/2112.06784v3
- Date: Mon, 13 Feb 2023 16:46:20 GMT
- Title: Incompatible measurements in quantum information science
- Authors: Otfried G\"uhne, Erkka Haapasalo, Tristan Kraft, Juha-Pekka
Pellonp\"a\"a, Roope Uola
- Abstract summary: Joint measurability and incompatibility are reviewed from the perspective of quantum information science.
An overview on applications of incompatibility, such as in measurement uncertainty relations.
Emerging directions of research, such as a resource theory of incompatibility, as well as other concepts to grasp the nature of measurements in quantum mechanics are discussed.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Some measurements in quantum mechanics disturb each other. This has puzzled
physicists since the formulation of the theory, but only in recent decades has
the incompatibility of measurements been analyzed in depth and detail, using
the notion of joint measurability of generalized measurements. In this
Colloquium joint measurability and incompatibility are reviewed from the
perspective of quantum information science. The Colloquium starts by discussing
the basic definitions and concepts. An overview on applications of
incompatibility, such as in measurement uncertainty relations, the
characterization of quantum correlations, or information processing tasks like
quantum state discrimination, is then presented. Finally, emerging directions
of research, such as a resource theory of incompatibility as well as other
concepts to grasp the nature of measurements in quantum mechanics, are
discussed.
Related papers
- Witnessing Entanglement and Quantum Correlations in Condensed Matter: A Review [0.0]
It impacts both our understanding of quantum many-body phenomena as well as the identification of systems suitable for novel technologies.
Frameworks suitable to condensed matter that connect measurements to entanglement and coherence have been developed.
The underlying theory of these quantities, their relation to condensed matter experimental techniques, and their application to real materials are reviewed.
arXiv Detail & Related papers (2024-05-17T16:36:56Z) - Overview of projective quantum measurements [0.0]
We make use of a unitary "Stinespring" representation of measurements on a dilated Hilbert space.
We explain how this unitary representation is guaranteed by the axioms of quantum mechanics.
arXiv Detail & Related papers (2024-04-08T16:58:19Z) - Two Results in the Quantum Theory of Measurements [44.99833362998488]
The first one clarifies and amends von Neumann's Measurement Postulate used in the Copenhagen interpretation of quantum mechanics.
The second one clarifies the relationship between events'' and measurements'' and the meaning of measurements in the $ETH$-Approach to quantum mechanics.
arXiv Detail & Related papers (2023-12-01T14:05:04Z) - 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) - Witnessing Quantum Incompatibility Structures in High-Dimensional Multimeasurement Systems [10.275541065101345]
Quantum incompatibility is the phenomenon that some quantum measurements cannot be performed simultaneously.
We propose a modified quantum state discrimination protocol that decomposes complex compatibility structures into pairwise ones.
We experimentally demonstrate our results and connect them with quantum steering, quantum simulability and quantum communications.
arXiv Detail & Related papers (2023-06-21T09:12:51Z) - 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) - 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) - 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) - Quantum Incompatibility of a Physical Context [0.0]
We characterize quantum incompatibility as a resource encoded in a physical context, involving both the quantum state and observables.
We derive a measurement-incompatibility quantifier that is easily computable, admits a geometrical interpretation, and is maximum only if the eigenbases of the involved observables are mutually unbiased.
arXiv Detail & Related papers (2020-04-02T14:00:39Z) - 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) - 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.