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相关论文: About the Exact Role of Disturbance in Heisenberg'…

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Recently developed control methods with strong disturbance rejection capabilities provide a useful option for control design. The key lies in a general concept of disturbance and effective ways to estimate and compensate the disturbance.…

最优化与控制 · 数学 2018-01-19 Wuhua Hu , Eduardo F. Camacho , Lihua Xie

We re-derive the Schr\"{o}dinger-Robertson uncertainty principle for the position and momentum of a quantum particle. Our derivation does not directly employ commutation relations, but works by reduction to an eigenvalue problem related to…

量子物理 · 物理学 2012-11-15 A. Mandilara , N. J. Cerf

The inherent connection between noise and disturbance is one of the most fundamental features of quantum measurements. In the two well-known extreme cases a measurement either makes no disturbance but then has to be totally noisy or is as…

量子物理 · 物理学 2014-01-08 Teiko Heinosaari , Takayuki Miyadera

Heisenberg's uncertainty principle states that it is not possible to compute both the position and momentum of an electron with absolute certainty. However, this computational limitation, which is central to quantum mechanics, has no…

计算复杂性 · 计算机科学 2008-11-10 Stefan Jaeger

We point out that the Gaussian wave-packet formalism can serve as a concrete realization of the joint measurement of position and momentum, which is an essential element in understanding Heisenberg's original philosophy of the uncertainty…

高能物理 - 唯象学 · 物理学 2025-04-02 Kin-ya Oda , Naoya Ogawa

Entanglement is a Hilbert-space based measure of nonseparability of states that leads to unique quantum possibilities such as teleportation. It has been at the center of intense activity in the area of quantum information theory and…

混沌动力学 · 物理学 2007-05-23 Arul Lakshminarayan , Jayendra N. Bandyopadhyay , M. S. Santhanam , V. B. Sheorey

A thought experiment is discussed to clarify the concept of decoherence. Superposition of states consisting of ground state of a single hydrogen atom and its excited state after a huge amount of time is discussed to show that the…

量子物理 · 物理学 2012-09-04 Shunichi Muto

The quantum discord, which quantifies the amount of quantum correlations present between parts of a system, is investigated for antiferromagnetic spin systems. The discord for a pair of spins in the many-spin ground state is related to the…

量子物理 · 物理学 2014-05-08 Aritra Kundu , V. Subrahmanyam

An overview of the conceptuality interpretation of quantum mechanics is presented, along with an explanation of how it sheds light on key quantum and relativistic phenomena. In particular, we show how the interpretation clarifies…

量子物理 · 物理学 2025-12-17 Diederik Aerts , Massimiliano Sassoli de Bianchi , Sandro Sozzo

A more general measurement disturbance uncertainty principle is presented in a Robertson-Schr\"odinger formulation. It is shown that it is stronger and having nicer properties than Ozawa's uncertainty relations. In particular is invariant…

量子物理 · 物理学 2014-11-11 Catarina Bastos , A. E. Bernardini , O. Bertolami , N. C. Dias , J. N. Prata

A quantum mechanical theory with time asymmetry intrinsic to states (or observables) features the concept of an initial time of the state and thus a preparation time of the physical system represented by the state. This special time is…

量子物理 · 物理学 2009-11-13 Peter Bryant

We investigate the optimal tradeoff between information gained about an unknown coherent state and the state disturbance caused by the measurement process. We propose several optical schemes that can enable this task, and we implement one…

量子物理 · 物理学 2009-11-11 Ulrik L. Andersen , Metin Sabuncu , Radim Filip , Gerd Leuchs

The uncertainty associated with probing the quantum state is expressed as the effective abundance (measure) of possibilities for its collapse. New kinds of uncertainty limits entailed by quantum description of the physical system arise in…

量子物理 · 物理学 2019-07-12 Ivan Horváth , Robert Mendris

The uncertainty principle is considered to be one of the most striking features in quantum mechanics. In the textbook literature, uncertainty relations usually refer to the preparation uncertainty which imposes a limitation on the spread of…

量子物理 · 物理学 2017-05-22 Wenchao Ma , Bin Chen , Ying Liu , Mengqi Wang , Xiangyu Ye , Fei Kong , Fazhan Shi , Shao-Ming Fei , Jiangfeng Du

Much of the discussion of decoherence has been in terms of a particle moving in one dimension that is placed in an initial superposition state (a Schr\"{o}dinger "cat" state) corresponding to two widely separated wave packets. Decoherence…

量子物理 · 物理学 2007-05-23 M. Murakami , G. W. Ford , R. F. O'Connell

We shed new light on Heisenberg's uncertainty principle in the sense of Beurling, by offering an essentially different proof which permits us to weaken the assumptions substantially, and examples show that the result is sharp. The proof…

泛函分析 · 数学 2013-11-11 Haakan Hedenmalm

Heisenberg uncertainty relation is at the origin of understanding minimum uncertainty states and squeezed states of light. In the recent past, sum uncertainty relation was formulated by Maccone and Pati [Maccone and Pati, Phys. Rev. Lett.…

量子物理 · 物理学 2026-05-19 Yatindra Kumar , Yashraj Jha , Namrata Shukla

A numerical illustration of a universally valid Heisenberg uncertainty relation, which was proposed recently, is presented by using the experimental data on spin-measurements by J. Erhart, et al.[ Nature Phys. {\bf 8}, 185 (2012)]. This…

量子物理 · 物理学 2013-12-03 Kazuo Fujikawa , Koichiro Umetsu

We investigate a quantum Heisenberg model with both antiferromagnetic and disordered nearest-neighbor couplings. We use an extended dynamical mean-field approach, which reduces the lattice problem to a self-consistent local impurity problem…

无序系统与神经网络 · 物理学 2009-11-13 S. Burdin , D. R. Grempel , M. Grilli

We show that the global balance of information dynamics for general quantum measurements given in [F. Buscemi, M. Hayashi, and M. Horodecki, Phys.Rev.Lett. 100, 210504 (2008)] makes it possible to unify various and generally inequivalent…

量子物理 · 物理学 2009-04-01 Francesco Buscemi , Michal Horodecki
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