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Stochastic incompleteness of a Riemannian manifold $M$ amounts to the nonconservation of probability for the heat semigroup on $M$. We show that this property is equivalent to the existence of nonnegative, nontrivial, bounded (sub)solutions…

偏微分方程分析 · 数学 2025-11-21 Gabriele Grillo , Kazuhiro Ishige , Matteo Muratori , Fabio Punzo

Due to the Heisemberg uncertainty principle, it is impossible to design a procedure which permits perfect cloning of an arbitrary, unknown "qubit" (the spin or polarization state of a single quantum system)1,2. However, it is believed that…

量子物理 · 物理学 2007-05-23 Daniele Tommasini

The dynamics of a spin--1/2 neutral particle possessing electric and magnetic dipole moments interacting with external electric and magnetic fields in noncommutative coordinates is obtained. Noncommutativity of space is interposed in terms…

高能物理 - 理论 · 物理学 2009-08-03 Omer F. Dayi

In estimating an unknown parameter of a quantum state the quantum Fisher information (QFI) is a pivotal quantity, which depends on the state and its derivate with respect to the unknown parameter. We prove the continuity property for the…

量子物理 · 物理学 2019-09-16 A. T. Rezakhani , M. Hassani , S. Alipour

In this Letter we study the effects of the Modified Uncertainty Principle as proposed in Ali et al. (2009) [5] in simple quantum mechanical systems and study its thermodynamic properties. We have assumed that the quantum particles follow…

广义相对论与量子宇宙学 · 物理学 2012-10-10 Barun Majumder , Sourav Sen

We consider two celebrated criteria for defining the non-classicality of bipartite bosonic quantum systems, the first stemming from information theoretic concepts and the second from physical constraints on the quantum phase-space.…

量子物理 · 物理学 2013-05-30 Alessandro Ferraro , Matteo G. A. Paris

In the context of a physical theory, two devices, A and B, described by the theory are called incompatible if the theory does not allow the existence of a third device C that would have both A and B as its components. Incompatibility is a…

量子物理 · 物理学 2016-02-18 Teiko Heinosaari , Takayuki Miyadera , Mario Ziman

A succinct statement and justification of all the principles necessary to understand and evaluate interpretations of quantum mechanics is given. These principles provide strong constraints on interpretations. They imply the particle-like…

综合物理 · 物理学 2015-05-14 Casey Blood

We have studied the possibility of post-quantum theories more nonlocal than the (standard) quantum theory using the modification of the quantum probability rule under the no-signaling condition. For this purpose we have considered the…

量子物理 · 物理学 2012-08-15 Yeong Deok Han , Taeseung Choi

This study aims to address the nature of state change, measurement, and probabilistic outcomes in non-relativistic quantum mechanics. We consider a pair of particles that interact in a one-dimensional setting via a delta-function potential.…

量子物理 · 物理学 2026-01-13 Olivia Pomerenk , Charles S. Peskin

We consider a two-component quantum Hall system within a Landau-Ginzburg theory with two Chern-Simons gauge fields. From this theory we derive a sigma model covariantly coupled to one Chern-Simons field and find mean field solutions that…

凝聚态物理 · 物理学 2009-10-28 T. H. Hansson , A. Karlhede , J. M. Leinaas

In the event in which a quantum mechanical particle can pass from an initial state to a final state along two possible paths, the duality principle states that "the simultaneous observation of wave and particle behavior is prohibited". [M.…

This study discusses the quantum behavior of a particle, which is controlled by fluctuations in the physical space-time (ST) variables, rather than provides a novel interpretation of quantum theory. The fluctuations, i.e., inhomogeneities…

综合物理 · 物理学 2012-06-15 Valery Egorushkin

This thesis consists of four parts. In the first part it is shown that optimal universal cloning of photons can be realized with the help of stimulated emission. Possible schemes based on three-level systems and on parametric…

量子物理 · 物理学 2007-05-23 Christoph Simon

According to the wave-particle duality (WPD), quantum systems show both particle- and wave-like behavior, and cannot be described using only one of these classical concepts. Identifying quantum features that cannot be reproduced by any…

量子物理 · 物理学 2024-01-29 Marcelo Janovitch , Matteo Brunelli , Patrick P. Potts

Linearity and unitarity are two fundamental tenets of quantum theory. Any consequence that follows from these must be respected in the quantum world. The no-cloning theorem and the no-deleting theorem are the consequences of the linearity…

量子物理 · 物理学 2012-04-18 Jharana Rani Samal , Arun Kumar Pati , Anil Kumar

Observations or measurements taken of a quantum system (a small number of fundamental particles) are inherently random. If the state of the system depends on unknown parameters, then the distribution of the outcome depends on these…

统计理论 · 数学 2007-06-13 Richard D. Gill

As a striking manifestation of quantum entanglement, nonlocality has long played a pivotal role in shaping our understanding of the quantum world. When considering a Bell test involving three parties, we may even find a remarkable situation…

量子物理 · 物理学 2026-04-10 Kai-Siang Chen , Gelo Noel M. Tabia , Chung-Yun Hsieh , Yu-Chun Yin , Yeong-Cherng Liang

We study mechanisms that allow one to synchronize the quantum phase of two qubits relative to a fixed basis. Starting from one qubit in a fixed reference state and the other in an unknown state, we find that contrary to the impossibility of…

量子物理 · 物理学 2016-11-04 Lukas J. Fiderer , Marek Kuś , Daniel Braun

This is an article written in a popular science style, in which I will explain: (1) the famous Heisenberg uncertainty principle, expressing the experimental incompatibility of certain properties of micro-physical entities; (2) the Compton…

科普物理 · 物理学 2018-06-21 Massimiliano Sassoli de Bianchi