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The problem of lossless data compression with side information available to both the encoder and the decoder is considered. The finite-blocklength fundamental limits of the best achievable performance are defined, in two different versions…

信息论 · 计算机科学 2021-02-23 Lampros Gavalakis , Ioannis Kontoyiannis

Quantum information theory gives rise to a straightforward definition of the interaction of electrons $I_{p,q}$ in two orbitals $p$, $q$ for a given many-body wave function. A convenient way to calculate the von Neumann entropies needed is…

强关联电子 · 物理学 2009-11-11 J. Rissler , R. M. Noack , S. R. White

Quantum memory systems are vital in quantum information processing for dependable storage and retrieval of quantum states. Inspired by classical reliability theories that synthesize reliable computing systems from unreliable components, we…

量子物理 · 物理学 2025-12-10 Anuj K. Nayak , Eric Chitambar , Lav R. Varshney

A novel information entropy of turbulence systems with multiple field quantities is formulated. Inspired by quantum mechanics, the von Neumann entropy (vNE) and the entanglement entropy(EE) are derived from a density matrix for the…

流体动力学 · 物理学 2024-07-15 Go Yatomi , Motoki Nakata

We explore the quantum information resources within bipartite pure and mixed states of the quantum spin-1 Heisenberg dimer system, considering some interesting factors such as the $l_{1}$-norm of quantum coherence, relative coherence,…

量子物理 · 物理学 2025-01-31 Fadwa Benabdallah , M. Y. Abd-Rabbou , Mohammed Daoud , Saeed Haddadi

We study quantum compression and decompression of light pulses that carry quantum information using a photon-echo quantum memory technique with controllable inhomogeneous broadening of an isolated atomic absorption line. We investigate…

量子物理 · 物理学 2025-02-06 S. A. Moiseev , W. Tittel

We study the mutual information between two lattice-blocks in terms of von Neumann entropies for one-dimensional infinite lattice systems. Quantum $q$-state Potts model and transverse field spin-$1/2$ XY model are considered numerically by…

强关联电子 · 物理学 2021-11-10 Yan-Wei Dai , Xi Hao Chen , Sam Young Cho , Huan-Qiang Zhou

The advantages of quantum information processing are in many cases obtained as consequences of quantum interactions, especially for computational tasks where two-qubit interactions are essential. In this work, we establish the framework of…

量子物理 · 物理学 2019-09-11 Sudipto Singha Roy , Joonwoo Bae

In analogy with its classical counterpart, a noisy quantum channel is characterized by a loss, a quantity that depends on the channel input and the quantum operation performed by the channel. The loss reflects the transmission quality: if…

量子物理 · 物理学 2011-07-19 Nicolas J. Cerf

The task of compression of data -- as stated by the source coding theorem -- is one of the cornerstones of information theory. Data compression usually exploits statistical redundancies in the data according to its prior distribution.…

量子物理 · 物理学 2021-01-08 Matheus Capela , Fabio Costa

We consider lossy compression of an information source when the decoder has lossless access to a correlated one. This setup, also known as the Wyner-Ziv problem, is a special case of distributed source coding. To this day, real-world…

信息论 · 计算机科学 2023-05-09 Ezgi Ozyilkan , Johannes Ballé , Elza Erkip

Landauer's principle introduces a symmetry between computational and physical processes: erasure of information, a logically irreversible operation, must be underlain by an irreversible transformation dissipating energy. Monitoring micro-…

We design a quantum method for classical information compression that exploits the hidden subgroup quantum algorithm. We consider sequence data in a database with a priori unknown symmetries of the hidden subgroup type. We prove that data…

量子物理 · 物理学 2024-08-14 Feiyang Liu , Kaiming Bian , Fei Meng , Wen Zhang , Oscar Dahlsten

We present a quantum information theory that allows for the consistent description of quantum entanglement. It parallels classical (Shannon) information theory but is based entirely on density matrices, rather than probability…

量子物理 · 物理学 2007-05-23 Nicolas J. Cerf , Chris Adami

We introduce an approach to quantum information processing where the information is stored in the motional degrees of freedom of nanomechanical devices. The qubits of our approach are formed by the two lowest energy levels of mechanical…

量子物理 · 物理学 2013-04-04 Simon Rips , Michael J. Hartmann

The data processing inequality (DPI) is a fundamental feature of information theory. Informally it states that you cannot increase the information content of a quantum system by acting on it with a local physical operation. When the smooth…

量子物理 · 物理学 2012-09-05 Normand J. Beaudry , Renato Renner

We introduce the use of entanglement entropy as a tool for studying the amount of information shared between the nodes of quantum complex networks. By considering the ground state of a network of coupled quantum harmonic oscillators, we…

物理与社会 · 物理学 2013-05-16 Alessio Cardillo , Fernando Galve , David Zueco , Jesús Gómez-Gardeñes

We consider a model for a Planck scale ultraviolet cutoff which is based on Shannon sampling. Shannon sampling originated in information theory, where it expresses the equivalence of continuous and discrete representations of information.…

量子物理 · 物理学 2015-11-18 Jason Pye , William Donnelly , Achim Kempf

The precise quantification of the ultimate efficiency in manipulating quantum resources lies at the core of quantum information theory. However, purely information-theoretic measures fail to capture the actual computational complexity…

量子物理 · 物理学 2025-11-19 Lorenzo Leone , Jacopo Rizzo , Jens Eisert , Sofiene Jerbi

According to quantum mechanics, the informational content of isolated systems does not change in time. However, subadditivity of entropy seems to describe an excess of information when we look at single parts of a composite systems and…

量子物理 · 物理学 2019-11-12 Marco Roncaglia