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We experimentally test the error-disturbance uncertainty relation (EDR) in generalized, strength-variable measurement of a single photon polarization qubit, making use of weak measurement that keeps the initial signal state practically…

量子物理 · 物理学 2015-06-17 Fumihiro Kaneda , So-Young Baek , Masanao Ozawa , Keiichi Edamatsu

In quantum physics, measurement error and disturbance were first naively thought to be simply constrained by the Heisenberg uncertainty relation. Later, more rigorous analysis showed that the error and disturbance satisfy more subtle…

量子物理 · 物理学 2015-06-02 Atsushi Nishizawa , Yanbei Chen

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 relation (EDR) with continuous variables for…

量子物理 · 物理学 2019-05-24 Yang Liu , Haijun Kang , Dongmei Han , Xiaolong Su , Kunchi Peng

Although Heisenberg's uncertainty principle is represented by a rigorously proven relation about intrinsic indeterminacy in quantum states, Heisenberg's error-disturbance relation (EDR) has been commonly believed as another aspect of the…

量子物理 · 物理学 2021-04-27 Yuki Inoue , Masanao Ozawa

The indeterminacy inherent in quantum measurement is an outstanding character of quantum theory, which manifests itself typically in Heisenberg's error-disturbance uncertainty relation. In the last decade, Heisenberg's relation has been…

量子物理 · 物理学 2016-10-05 Bülent Demirel , Stephan Sponar , Georg Sulyok , Masanao Ozawa , Yuji Hasegawa

Although Heisenberg's uncertainty principle is represented by a rigorously proven relation about intrinsic uncertainties in quantum states, Heisenberg's error-disturbance relation (EDR) has been commonly believed to be another aspect of the…

量子物理 · 物理学 2021-01-20 Yuki Inoue , Masanao Ozawa

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 are used to quantitatively check the…

量子物理 · 物理学 2020-12-24 Kazuya Okamura

Recently, Kosugi [arXiv:1504.03779v2 [quant-ph]] argued that Heisenberg's error-disturbance relation (EDR) must be interpreted as being between the resolution, the preparational error for the post-measurement observable, and the…

量子物理 · 物理学 2015-05-20 Masanao Ozawa

The Heisenberg's error-disturbance relation is a cornerstone of quantum physics. It was recently shown to be not universally valid and two different approaches to reformulate it were proposed.The first one focuses on how error and…

量子物理 · 物理学 2017-04-12 Yuan-yuan Zhao , Paweł Kurzyński , Guo-yong Xiang , Chuan-Feng Li , Guang-Can Guo

In this comment on the paper by F. Kaneda, S.-Y. Baek, M. Ozawa and K. Edamatsu [Phys. Rev. Lett. 112, 020402, 2014, arXiv:1308.5868], we point out that the claim of having refuted Heisenberg's error-disturbance relation is unfounded since…

量子物理 · 物理学 2014-03-18 P. Busch , P. Lahti , R. F. Werner

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. In recent years, the reformulation of…

量子物理 · 物理学 2021-01-18 Kazuya Okamura

Uncertainty and intrinsic measurement disturbance, two fundamental concepts in quantum measurement, have conventionally been viewed as distinct and studied separately. In this work, we establish a fundamental connection between them,…

量子物理 · 物理学 2026-04-21 Liang-Liang Sun , Kishor Bharti , Xiang Zhou , Leong-Chuan Kwek , Jingyun Fan , Sixia Yu

We formulate a new error-disturbance relation, which is free from explicit dependence upon variances in observables. This error-disturbance relation shows improvement over the one provided by the Branciard inequality and the Ozawa…

量子物理 · 物理学 2016-12-14 Chiranjib Mukhopadhyay , Namrata Shukla , Arun Kumar Pati

In its original formulation, Heisenberg's uncertainty principle dealt with the relationship between the error of a quantum measurement and the thereby induced disturbance on the measured object. Meanwhile, Heisenberg's heuristic arguments…

Some of the most problematic issues that limit the implementation of applications on Noisy Intermediate Scale Quantum (NISQ) machines are the adverse impacts of both incoherent and coherent errors. We conducted an in-depth study of coherent…

The uncertainty principle generally prohibits determination of certain pairs of quantum mechanical observables with arbitrary precision and forms the basis of indeterminacy in quantum mechanics. It was Heisenberg who used the famous…

The notions of error and disturbance appearing in quantum uncertainty relations are often quantified by the discrepancy of a physical quantity from its ideal value. However, these real and ideal values are not the outcomes of simultaneous…

量子物理 · 物理学 2017-07-26 Joseph M. Renes , Volkher B. Scholz , Stefan Huber

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 error and disturbance in quantum mechanics.…

量子物理 · 物理学 2014-12-24 Paul Busch , Pekka Lahti , Reinhard F Werner

Heisenberg's uncertainty principle was originally formulated in 1927 as a quantitative relation between the "mean error" of a measurement of one observable and the disturbance thereby caused on another observable. Heisenberg derived this…

量子物理 · 物理学 2014-04-15 Masanao Ozawa

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 via a Faraday interaction. We formulate…

量子物理 · 物理学 2022-06-10 Le Bin Ho , Keiichi Edamatsu
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