4.6 Article

Uncertainty relations for triples of observables and the experimental demonstrations

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Physics, Multidisciplinary

Uncertainty relations for multiple operators without covariances

Bin Chen et al.

Summary: This paper proves the sum and product uncertainty relations for multiple observables and recovers the uncertainty relations for linear combinations of position and momentum. Furthermore, it proves the entropic uncertainty relations for specific cases and obtains a tighter bound on a real Hilbert space. A quantitative stability result is also presented.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2022)

Review Quantum Science & Technology

Optimal Scheme for Quantum Metrology

Jing Liu et al.

Summary: Quantum metrology is crucial in achieving high precision compared to classical metrology, and optimizing all steps such as state preparation, parametrization, and measurement is essential to reach the ultimate precision limit. Recent progress in optimizing these steps is reviewed to aid researchers in quantum metrology and related fields.

ADVANCED QUANTUM TECHNOLOGIES (2022)

Article Physics, Multidisciplinary

Incorporating Heisenberg's Uncertainty Principle into Quantum Multiparameter Estimation

Xiao-Ming Lu et al.

Summary: Quantum multiparameter estimation differs significantly from classical multiparameter estimation due to Heisenberg's uncertainty principle. By finding a correspondence between the inaccuracy of a measurement for estimating unknown parameters and measurement errors, the quantum limits on individual estimation errors can be revealed. This approach allows for deriving trade-offs between attainable errors of estimating different parameters without explicitly parametrizing quantum measurements.

PHYSICAL REVIEW LETTERS (2021)

Review Physics, Multidisciplinary

Quantum Fisher information matrix and multiparameter estimation

Jing Liu et al.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2020)

Article Physics, Multidisciplinary

Entanglement Detection by Violations of Noisy Uncertainty Relations: A Proof of Principle

Yuan-Yuan Zhao et al.

PHYSICAL REVIEW LETTERS (2019)

Article Multidisciplinary Sciences

Tight N-observable uncertainty relations and their experimental demonstrations

Zhi-Xin Chen et al.

SCIENTIFIC REPORTS (2019)

Proceedings Paper Quantum Science & Technology

Uncertainty relations for several observables via the Clifford algebras

V. V. Dodonov

32ND INTERNATIONAL COLLOQUIUM ON GROUP THEORETICAL METHODS IN PHYSICS (GROUP32) (2019)

Article Physics, Multidisciplinary

Geometry of uncertainty relations for linear combinations of position and momentum

Spiros Kechrimparis et al.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2018)

Article Physics, Multidisciplinary

Experimental Demonstration of Uncertainty Relations for the Triple Components of Angular Momentum

Wenchao Ma et al.

PHYSICAL REVIEW LETTERS (2017)

Article Multidisciplinary Sciences

A Stronger Multi-observable Uncertainty Relation

Qiu-Cheng Song et al.

SCIENTIFIC REPORTS (2017)

Article Quantum Science & Technology

Variance-based uncertainty relations for incompatible observables

Bin Chen et al.

QUANTUM INFORMATION PROCESSING (2016)

Article Multidisciplinary Sciences

Multi-observable Uncertainty Relations in Product Form of Variances

Hui-Hui Qin et al.

SCIENTIFIC REPORTS (2016)

Article Physics, Multidisciplinary

Uncertainty relations for angular momentum

Lars Dammeier et al.

NEW JOURNAL OF PHYSICS (2015)

Article Optics

Entropic uncertainty relations for multiple measurements

Shang Liu et al.

PHYSICAL REVIEW A (2015)

Article Multidisciplinary Sciences

Sum uncertainty relations for arbitrary N incompatible observables

Bin Chen et al.

SCIENTIFIC REPORTS (2015)

Article Physics, Multidisciplinary

Optimal condition for measurement observable via error-propagation

Wei Zhong et al.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2014)

Article Optics

Heisenberg uncertainty for qubit measurements

Paul Busch et al.

PHYSICAL REVIEW A (2014)

Article Optics

Heisenberg uncertainty relation for three canonical observables

Spiros Kechrimparis et al.

PHYSICAL REVIEW A (2014)

Article Physics, Multidisciplinary

Stronger Uncertainty Relations for All Incompatible Observables

Lorenzo Maccone et al.

PHYSICAL REVIEW LETTERS (2014)

Article Physics, Multidisciplinary

Experimental Test of Error-Disturbance Uncertainty Relations by Weak Measurement

Fumihiro Kaneda et al.

PHYSICAL REVIEW LETTERS (2014)

Article Physics, Multidisciplinary

Colloquium: Quantum root-mean-square error and measurement uncertainty relations

Paul Busch et al.

REVIEWS OF MODERN PHYSICS (2014)

Article Multidisciplinary Sciences

Equivalence of wave-particle duality to entropic uncertainty

Patrick J. Coles et al.

NATURE COMMUNICATIONS (2014)

Article Optics

Fisher information under decoherence in Bloch representation

Wei Zhong et al.

PHYSICAL REVIEW A (2013)

Article Physics, Multidisciplinary

Proof of Heisenberg's Error-Disturbance Relation

Paul Busch et al.

PHYSICAL REVIEW LETTERS (2013)

Article Multidisciplinary Sciences

Error-tradeoff and error-disturbance relations for incompatible quantum measurements

Cyril Branciard

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA (2013)

Review Physics, Multidisciplinary

Heisenberg's uncertainty principle

Paul Busch et al.

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS (2007)

Article Physics, Multidisciplinary

Quantum phases of a qutrit

AB Klimov et al.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL (2004)

Article Physics, Multidisciplinary

Characterizing entanglement via uncertainty relations -: art. no. 117903

O Gühne

PHYSICAL REVIEW LETTERS (2004)

Article Optics

Universal unitary gate for single-photon two-qubit states

BG Englert et al.

PHYSICAL REVIEW A (2001)