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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 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

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

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

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 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…

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

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

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…

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

While there is a rigorously proven relationship about uncertainties intrinsic to any quantum system, often referred to as "Heisenberg's Uncertainty Principle," Heisenberg originally formulated his ideas in terms of a relationship between…

Reports on experiments recently performed in Vienna [Erhard et al, Nature Phys. 8, 185 (2012)] and Toronto [Rozema et al, Phys. Rev. Lett. 109, 100404 (2012)] include claims of a violation of Heisenberg's error-disturbance relation. In…

量子物理 · 物理学 2014-02-04 Paul Busch , Pekka Lahti , Reinhard F Werner

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

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 can be violated…

量子物理 · 物理学 2019-08-13 Yang Liu , Zhihao Ma , Haijun Kang , Dongmei Han , Meihong Wang , Zhongzhong Qin , Xiaolong Su , Kunchi Peng

While the slogan "no measurement without disturbance" has established itself under the name Heisenberg effect in the consciousness of the scientifically interested public, a precise statement of this fundamental feature of the quantum world…

量子物理 · 物理学 2013-10-24 Paul Busch , Pekka Lahti , Reinhard F. Werner

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

In Heisenberg's error-disturbance relation for electron position measurement, the measurement error must be the one that determines the uncertainty in the electron position just after the measurement. It is the resolution $\epsilon(x_t)$…

量子物理 · 物理学 2015-04-28 Seiji Kosugi

Heisenberg's uncertainty principle is one of the main tenets of quantum theory. Nevertheless, and despite its fundamental importance for our understanding of quantum foundations, there has been some confusion in its interpretation: although…

量子物理 · 物理学 2013-05-06 Cyril Branciard

Incompatible observables can be approximated by compatible observables in joint measurement or measured sequentially, with constrained accuracy as implied by Heisenberg's original formulation of the uncertainty principle. Recently, Busch,…

Recently, Busch, Lahti, and Werner (arXiv:1306.1565v1 [quant-ph]) claimed that Heisenberg's error-disturbance relation can be proved in its original form with new formulations of error and disturbance, in contrast to the theory proposed by…

量子物理 · 物理学 2013-08-19 Masanao Ozawa
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