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An interferometer - no matter how clever the design - cannot reveal both the wave and particle behavior of a quantum system. This fundamental idea has been captured by inequalities, so-called wave-particle duality relations (WPDRs), that…

量子物理 · 物理学 2016-06-28 Patrick J. Coles

For any ideal two-path interferometer it is shown that the wave-particle duality of quantum mechanics implies Heisenberg's uncertainty relation and vice versa. It is conjectured that complementarity and uncertainty are two aspects of the…

量子物理 · 物理学 2007-05-23 Ole Steuernagel

The wave-particle duality demonstrates a competition relation between wave and particle behavior for a particle going through an interferometer. This duality can be formulated as an inequality, which upper bounds the sum of interference…

量子物理 · 物理学 2018-01-31 Kaifeng Bu , Lu Li , Junde Wu , Shao-Ming Fei

Wave-particle duality is one of the fundamental properties of matter and at the same time, one of the mysteries of modern physics. In this paper, we propose and analyze a new interpretation of the wave-particle duality, and propose a new…

量子物理 · 物理学 2015-06-15 S. A. Rashkovskiy

Heisenberg's uncertainty principle forms a fundamental element of quantum mechanics. Uncertainty relations in terms of entropies were initially proposed to deal with conceptual shortcomings in the original formulation of the uncertainty…

量子物理 · 物理学 2017-02-09 Patrick J. Coles , Mario Berta , Marco Tomamichel , Stephanie Wehner

Until recently, wave-particle duality has been thought of as quantum principle without a counterpart in classical physics. This belief was challenged after (i) finding that average dynamics of a classical particle in strong inhomogeneous…

量子物理 · 物理学 2015-06-03 Alexander Y. Davydov

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

Wave-particle duality relations express the fact that knowledge about the path a particle took suppresses information about its wave-like properties, in particular, its ability to generate an interference pattern. Recently, duality…

量子物理 · 物理学 2018-09-26 Emilio Bagan , John Calsamiglia , Janos A. Bergou , Mark Hillery

For two-path interferometers, the which-path predictability $\mathcal{P}$ and the fringe visibility $\mathcal{V}$ are familiar quantities that are much used to talk about wave-particle duality in a quantitative way. We discuss several…

量子物理 · 物理学 2011-03-15 Berthold-Georg Englert , Dagomir Kaszlikowski , Leong Chuan Kwek , Wei Hui Chee

The concept of wave-particle duality holds significant importance in the field of quantum mechanics, as it elucidates the dual nature encompassing both wave-like and particle-like properties exhibited by microscopic particles. In this…

量子物理 · 物理学 2024-11-13 Kang-Kang Yang , Zhi-Xi Wang , Shao-Ming Fei

We present wave-particle duality relations involving the relative entropy coherence measure, which plays a prominent role in the resource theory of coherence. The main input in these relations is an entropic bound for the which-way…

量子物理 · 物理学 2020-09-02 Emilio Bagan , Janos A. Bergou , Mark Hillery

Wave-particle duality and complementarity principle stand at the conceptual core of quantum theory in its orthodox Copenhagen interpretation. They imply that the wave behavior and particle behavior of quantum objects are mutually exclusive…

量子物理 · 物理学 2015-06-22 Zhi-Yuan Li

We derive upper bounds for Hilbert-Schmidt's quantum coherence of general states of a $d$-level quantum system, a qudit, in terms of its incoherent uncertainty, with the latter quantified using the linear and von Neumann's entropies of the…

量子物理 · 物理学 2020-07-22 Marcos L. W. Basso , Diego S. S. Chrysosthemos , Jonas Maziero

Individual quantum objects display inseparable coexisting wave-like properties and particle-like properties; such inseparable coexistence can seem paradoxical and mind-boggling. The apparent paradox is resolved by the unified theory of…

综合物理 · 物理学 2014-09-04 Greyson Gilson

One of the most puzzling consequences of interpreting quantum mechanics in terms of concepts borrowed from classical physics, is the so-called wave-particle duality. Usually, wave-particle duality is illustrated in terms of complementarity…

量子物理 · 物理学 2023-10-18 Andrea Aiello

Wave-particle duality is a typical example of Bohr's complementarity principle that plays a significant role in quantum mechanics. Previous studies used the visibility of an interference pattern to quantify the wave property and used path…

量子物理 · 物理学 2018-03-14 Yuan Yuan , Zhibo Hou , Yuan-Yuan Zhao , Han-Sen Zhong , Guo-Yong Xiang , Chuan-Feng Li , Guang-Can Guo

For the power-law quantum wave packet in configuration space, the variance of the position observable may be divergent. Accordingly, the information-entropic formulation of the uncertainty principle becomes more appropriate than the…

量子物理 · 物理学 2009-11-06 Sumiyoshi Abe , S. Martinez , F. Pennini , A. Plastino

The wave-particle duality has been said to contain the entire mystery of quantum mechanics. Many delayed-choice experiments have been performed to further understand the wave-particle duality. Here, we reveal some flaws in the known…

综合物理 · 物理学 2017-11-13 Shan-Liang Liu

Interference of more and more massive objects provides a spectacular confirmation of quantum theory. It is usually regarded as support for "wave-particle duality" and in an extension of this duality even as support for "complementarity". We…

量子物理 · 物理学 2022-03-17 Lukas Mairhofer , Oliver Passon

Wave-particle duality is certainly one of the most curious concepts of contemporary physics, which ascribes mutually exclusive behaviors to quantum systems that cannot be observed simultaneously. In the context of two-path interferometers,…

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