Experimental test of error-tradeoff uncertainty relation using a continuous-variable entangled state

  title={Experimental test of error-tradeoff uncertainty relation using a continuous-variable entangled state},
  author={Yang Liu and Zhihao Ma and Haijun Kang and Dongmei Han and Meihong Wang and Zhongzhong Qin and Xiaolong Su and Kunchi Peng},
  journal={npj Quantum Information},
Heisenberg’s original uncertainty relation is related to measurement effect, which is different from the preparation uncertainty relation. However, it has been shown that Heisenberg’s error disturbance uncertainty relation is not valid in some cases. We experimentally test the error-tradeoff uncertainty relation by using a continuous-variable Gaussian Einstein–Podolsky–Rosen (EPR)-entangled state. Based on the quantum correlation between the two entangled optical beams, the errors on amplitude… 

Experimental test of error-disturbance uncertainty relation with continuous variables

Uncertainty relation is one of the fundamental principle in quantum mechanics and plays an important role in quantum information science. We experimentally test the error-disturbance uncertainty

Error-disturbance uncertainty relations in Faraday measurements

We examine error-disturbance relations in the quantum measurement of spin systems using an atom-light interface scheme. We model a single spin-1/2 system that interacts with a polarized light meter

Linear position measurements with minimum error-disturbance in each minimum uncertainty state

In quantum theory, measuring process is an important physical process; it is a quantum description of the interaction between the system of interest and the measuring device. Error and disturbance

Linear simultaneous measurements of position and momentum with minimum error-trade-off in each minimum uncertainty state

So-called quantum limits and their achievement are important themes in physics. Heisenberg’s uncertainty relations are the most famous of them but are not universally valid and violated in general.

Measurement Uncertainty and Its Connection to Quantum Coherence in an Inertial Unruh–DeWitt Detector

The dynamic characteristics of measured uncertainty and quantum coherence are explored for an inertial Unruh–DeWitt detector model in an expanding de Sitter space. Using the entropic uncertainty

Remote preparation and manipulation of squeezed light.

Remote state preparation enables one to create and manipulate a quantum state based on the shared entanglement between distant nodes. Here, we experimentally demonstrate remote preparation and

Quantum Disturbance without State Change: Soundness and Locality of Disturbance Measures

It is often supposed that a quantum system is not disturbed without state change. In a recent debate, this assumption is used to claim that the operator-based disturbance measure, a broadly used

Experimental Demonstration of Remotely Creating Wigner Negativity via Quantum Steering.

Non-Gaussian states with Wigner negativity are of particular interest in quantum technology due to their potential applications in quantum computing and quantum metrology. However, how to create such

How Certain is Heisenberg’s Uncertainty Principle?

Heisenberg’s uncertainty principle is a milestone of twentieth-century physics. We sketch the history that led to the formulation of the principle, and we recall the objections of Grete Hermann and

Hoe zeker is Heisenbergs onzekerheidsprincipe?

Abstract How certain is Heisenberg’s uncertainty principle? Heisenberg’s uncertainty principle is at the heart of the orthodox or Copenhagen interpretation of quantum mechanics. We first sketch the



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

  • C. Branciard
  • Physics
    Proceedings of the National Academy of Sciences
  • 2013
This paper quantifies precisely Heisenberg’s intuition on the disturbance of an observable induced by the approximate measurement of another one and derives a stronger error-disturbance relation for this scenario.

Verifying Heisenberg’s error-disturbance relation using a single trapped ion

An experimental test of one of the new Heisenberg’s uncertainty relations using a single 40Ca+ ion trapped in a harmonic potential is reported, providing the first evidence confirming the BLW-formulated uncertainty at a single-spin level.

Experimental Test of Heisenberg's Measurement Uncertainty Relation Based on Statistical Distances.

The relation reveals that the worst-case inaccuracy is tightly bounded from below by the incompatibility of target observables, and is verified by the experiment employing joint measurement in which two compatible observables designed to approximate two incompatible observables on one qubit are measured simultaneously.

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

Recent years have witnessed a controversy over Heisenberg's famous error-disturbance relation. Here we resolve the conflict by way of an analysis of the possible conceptualizations of measurement

Experimental Test of Entropic Noise-Disturbance Uncertainty Relations for Spin-1/2 Measurements.

This work derives a tight noise-disturbance uncertainty relation for complementary qubit observables and carries out an experimental test, which saturates the tight Noise-Disturbance Uncertainty relation for qubits when an optimal correction procedure is applied.

Soundness and completeness of quantum root-mean-square errors

  • M. Ozawa
  • Physics
    npj Quantum Information
  • 2019
Defining and measuring the error of a measurement is one of the most fundamental activities in experimental science. However, quantum theory shows a peculiar difficulty in extending the classical

Measurement Uncertainty Relations for Position and Momentum: Relative Entropy Formulation

This paper provides a lower bound for the amount of information that is lost by replacing the distributions of the sharp position and momentum observables, as they could be obtained with two separate experiments, by the marginals of any smeared joint measurement.

Violation of Heisenberg's measurement-disturbance relationship by weak measurements.

Here, a violation of Heisenberg's "measurement-disturbance relationship" is experimentally observed, using weak measurements to characterize a quantum system before and after it interacts with a measurement apparatus.

Universally valid reformulation of the Heisenberg uncertainty principle on noise and disturbance in measurement

The Heisenberg uncertainty principle states that the product of the noise in a position measurement and the momentum disturbance caused by that measurement should be no less than the limit set by

Improved error-tradeoff and error-disturbance relations in terms of measurement error components

Heisenberg's uncertainty principle is quantified by error-disturbance tradeoff relations, which have been tested experimentally in various scenarios. Here we shall report improved new versions of