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Building software-driven systems that are easily understood becomes a challenge, with their ever-increasing complexity and autonomy. Accordingly, recent research efforts strive to aid in designing explainable systems. Nevertheless, a common…

人工智能 · 计算机科学 2019-02-11 Dimitri Bohlender , Maximilian A. Köhl

Scientists often think of the world (or some part of it) as a dynamical system, a stochastic process, or a generalization of such a system. Prominent examples of systems are (i) the system of planets orbiting the sun or any other classical…

物理学史与哲学 · 物理学 2021-04-30 Christian List , Marcus Pivato

In the paper we investigate the theory of quantum optical systems. As an application we integrate and describe the quantum optical systems which are generically related to the classical orthogonal polynomials. The family of coherent states…

数学物理 · 物理学 2014-11-03 Maciej Horowski , Anatol Odzijewicz , Agnieszka Tereszkiewicz

We discuss various definitions of decoherence and how it can be measured. We compare and contrast decoherence in quantum systems with an infinite number of eigenstates (such as the free particle and the oscillator) and spin systems. In the…

量子物理 · 物理学 2009-11-11 R. F. O'Connell

This is the draft version of a textbook, which aims to introduce the quantum information science viewpoints on condensed matter physics to graduate students in physics (or interested researchers). We keep the writing in a self-consistent…

强关联电子 · 物理学 2018-02-27 Bei Zeng , Xie Chen , Duan-Lu Zhou , Xiao-Gang Wen

The notion of quantum information related to the two different perspectives of the global and local states is examined. There is circularity in the definition of quantum information because we can speak only of the information of systems…

量子物理 · 物理学 2007-05-23 Subhash Kak

The notion of a qubit is ubiquitous in quantum information processing. In spite of the simple abstract definition of qubits as two-state quantum systems, identifying qubits in physical systems is often unexpectedly difficult. There are an…

量子物理 · 物理学 2009-11-07 Lorenza Viola , Emanuel Knill , Raymond Laflamme

The theory of controlled quantum open systems describes quantum systems interacting with quantum environments and influenced by external forces varying according to given algorithms. It is aimed, for instance, to model quantum devices which…

量子物理 · 物理学 2022-09-21 Robert Alicki

A suitable unified statistical formulation of quantum and classical mechanics in a *-algebraic setting leads us to conclude that information itself is noncommutative in quantum mechanics. Specifically we refer here to an observer's…

量子物理 · 物理学 2018-07-02 Rocco Duvenhage

The rather unintuitive nature of quantum theory has led numerous people to develop sets of (physically motivated) principles that can be used to derive quantum mechanics from the ground up, in order to better understand where the structure…

量子物理 · 物理学 2022-09-05 Bas Westerbaan , John van de Wetering

In this paper we introduce the concept of Hamiltonian system in the canonical and Poisson settings. We will discuss the quantization of the Hamiltonian systems in the Poisson context, using formal deformation quantization and quantum group…

数学物理 · 物理学 2015-02-27 Chiara Esposito

The notion of composite system made up of distinguishable parties is investigated in the context of arbitrary convex spaces.

量子物理 · 物理学 2019-08-21 Florio M. Ciaglia , Alberto Ibort , Giuseppe Marmo

What is a systems approach? The first step towards answering this question is an understanding of the history of the systems movement, which includes a survey of contemporary systems discourse. In particular, I examine how systems…

适应与自组织系统 · 物理学 2008-09-11 Alex J. Ryan

We consider integrable Hamiltonian systems in a general setting of invariant submanifolds which need not be compact. For instance, this is the case a global Kepler system, non-autonomous integrable Hamiltonian systems and integrable systems…

数学物理 · 物理学 2013-03-22 G. Sardanashvily

Recently developed quantum algorithms suggest that quantum computers can solve certain problems and perform certain tasks more efficiently than conventional computers. Among other reasons, this is due to the possibility of creating…

量子物理 · 物理学 2007-05-23 Rolando D. Somma

Originally conceived as a theory of consciousness, integrated information theory (IIT) provides a theoretical framework intended to characterize the compositional causal information that a system, in its current state, specifies about…

量子物理 · 物理学 2023-03-22 Larissa Albantakis , Robert Prentner , Ian Durham

Decompositional theories describe the ways in which a global physical system can be split into subsystems, facilitating the study of how different possible partitions of a same system interplay, e.g. in terms of inclusions or signalling. In…

量子物理 · 物理学 2025-09-03 Augustin Vanrietvelde , Octave Mestoudjian , Pablo Arrighi

This work outlines a consistent method of identifying subsystems in finite-dimensional Hilbert spaces, independent of the underlying inner-product structure. Such Hilbert spaces arise in $\mathcal{P}\mathcal{T}$-symmetric quantum mechanics,…

量子物理 · 物理学 2025-03-25 Himanshu Badhani , Sibasish Ghosh

We introduce an algebraic framework for interacting quantum systems that enables studying complex phenomena, characterized by the coexistence and competition of various broken symmetry states of matter. The approach unveils the hidden unity…

强关联电子 · 物理学 2009-11-07 G. Ortiz , C. D. Batista

It is shown that quantum systems of identical particles can be treated as if they were different when they are in well differentiated states. This simplifying assumption allows the consideration of quantum systems isolated from the rest of…

量子物理 · 物理学 2009-03-12 Alberto C. de la Torre , Hector O. Martin