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A formalism is developed for describing approximate classical behaviour in finite (but possibly large) quantum systems. This is done in terms of a structure common to classical and quantum mechanics, viz. a Poisson space with a transition…

量子物理 · 物理学 2015-06-26 N. P. Landsman

We argue that complex systems science and the rules of quantum physics are intricately related. We discuss a range of quantum phenomena, such as cryptography, computation and quantum phases, and the rules responsible for their complexity.…

量子物理 · 物理学 2011-10-25 Janet Anders , Karoline Wiesner

Quantum computing exploits quantum phenomena such as superposition and entanglement to realize a form of parallelism that is not available to traditional computing. It offers the potential of significant computational speed-ups in quantum…

There is a lot of research on probabilistic transition systems. There are not many studies in probabilistic process models. The lack of investigation into the interactive aspect of probabilistic processes is mainly due to the difficulty…

计算机科学中的逻辑 · 计算机科学 2019-06-25 Yuxi Fu

Quantum networks are complex systems formed by the interaction among quantum processors through quantum channels. Analogous to classical computer networks, quantum networks allow for the distribution of quantum operations among quantum…

量子物理 · 物理学 2023-07-14 Matheus Guedes de Andrade , Nitish K. Panigrahy , Wenhan Dai , Saikat Guha , Don Towsley

This article introduces quantum computation by analogy with probabilistic computation. A basic description of the quantum search algorithm is given by representing the algorithm as a C program in a novel way.

量子物理 · 物理学 2007-05-23 Lov K. Grover

Quantum theory predicts probabilities as well as relative phases between different alternatives of the system. A unified description of both probabilities and phases comes through a generalisation of the notion of a density matrix for…

量子物理 · 物理学 2016-09-08 Charis Anastopoulos

Randomness is both a useful way to model natural systems and a useful tool for engineered systems, e.g. in computation, communication and control. Fully random transformations require exponential time for either classical or quantum…

量子物理 · 物理学 2016-05-04 Fernando G. S. L. Brandao , Aram W. Harrow , Michal Horodecki

The problem of defining quantum probabilities of composite events is considered. This problem is of high importance for the theory of quantum measurements and for quantum decision theory that is a part of measurement theory. We show that…

量子物理 · 物理学 2015-06-17 V. I. Yukalov , D. Sornette

Quantum computers have demonstrated utility in simulating quantum systems beyond brute-force classical approaches. As the community builds on these demonstrations to explore using quantum computing for applied research, algorithms and…

Quantum sampling, a fundamental subroutine in numerous quantum algorithms, involves encoding a given probability distribution in the amplitudes of a pure state. Given the hefty cost of large-scale quantum storage, we initiate the study of…

量子物理 · 物理学 2025-06-10 Longyun Chen , Jingcheng Liu , Penghui Yao

Formal methods have been a successful approach for modelling and verifying the correctness of complex technologies like microprocessor chip design, biological systems and others. This is the main motivation of developing quantum formal…

形式语言与自动机理论 · 计算机科学 2024-09-27 Ittoop Vergheese Puthoor

Our knowledge of quantum mechanics can satisfactorily describe simple, microscopic systems, but is yet to explain the macroscopic everyday phenomena we observe. Here we aim to shed some light on the quantum-to-classical transition as seen…

量子物理 · 物理学 2020-08-14 Isadora Veeren , Fernando de Melo

Combining quantum sensing with quantum computing can lead to quantum computational sensors that are able to more efficiently extract task-specific information from physical signals than is possible otherwise. Early examples of quantum…

量子物理 · 物理学 2025-07-22 Saeed A. Khan , Sridhar Prabhu , Logan G. Wright , Peter L. McMahon

Quantum computing technologies promise to revolutionize calculations in many areas of physics, chemistry, and data science. Their power is expected to be especially pronounced for problems where direct analogs of a quantum system under…

量子物理 · 物理学 2020-12-29 C. A. Argüelles , B. J. P. Jones

Truly concurrent process algebras are generalizations to the traditional process algebras for true concurrency, CTC to CCS, APTC to ACP, $\pi_{tc}$ to $\pi$ calculus , APPTC to probabilistic process algebra. And we also did some work on…

计算机科学中的逻辑 · 计算机科学 2021-08-09 Yong Wang

It is one of the most fundamental objectives in quantum information science to understand the boundary between the computational power of classical and quantum computers. One possible avenue to explore this boundary is to identify classes…

量子物理 · 物理学 2025-03-28 Christophe Piveteau

Quantum computers are on the brink of surpassing the capabilities of even the most powerful classical computers. This naturally raises the question of how one can trust the results of a quantum computer when they cannot be compared to…

Truly concurrent process algebras are generalizations to the traditional process algebras for true concurrency, CTC to CCS, APTC to ACP, $\pi_{tc}$ to $\pi$ calculus, APPTC to probabilistic process algebra. Now, it is the time to utilize…

计算机科学中的逻辑 · 计算机科学 2021-10-26 Yong Wang

Quantum computing comes with the potential to push computational boundaries in various domains including, e.g., cryptography, simulation, optimization, and machine learning. Exploiting the principles of quantum mechanics, new algorithms can…

系统与控制 · 电气工程与系统科学 2025-12-23 Julian Berberich , Robert L. Kosut , Thomas Schulte-Herbrüggen