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We investigate the quantitative relationship between operator spreading and classical information propagation in quantum systems. Focusing on a bi-partite quantum channel, we derive new upper and lower bounds on the Holevo capacity, a…

量子物理 · 物理学 2025-05-14 Cheng Shang , Zhi-Guang Lu , Hayato Kinkawa , Tomotaka Kuwahara

In this paper, a generalization of the traditional point-to-point to communication setup, which is named as "reliable communications with asymmetric codebooks", is proposed. Under the assumption of independent identically distributed…

信息论 · 计算机科学 2008-09-12 Yucel Altug , M. Kivanc Mihcak , Onur Ozyesil , Vishal Monga

Stochastic local operations and classical communication (SLOCC), also called local filtering operations, are a convenient, useful set of quantum operations in grasping essential properties of entanglement. We give a quick overview about the…

量子物理 · 物理学 2007-05-23 Akimasa Miyake

We study information transmission over a fully correlated amplitude damping channel acting on two qubits. We derive the single-shot classical channel capacity and show that entanglement is needed to achieve the channel best performance. We…

量子物理 · 物理学 2013-11-01 A. D'Arrigo , G. Benenti , G. Falci , C. Macchiavello

Solving linear systems of equations is ubiquitous in all areas of science and engineering. With rapidly growing data sets, such a task can be intractable for classical computers, as the best known classical algorithms require a time…

Any bipartite nonlocal unitary operation can be carried out by teleporting a quantum state from one party to the other, performing the unitary gate locally, and teleporting a state back again. This paper investigates unitaries which can be…

量子物理 · 物理学 2010-06-22 Li Yu , Robert B. Griffiths , Scott M. Cohen

Concordant computation is a circuit-based model of quantum computation for mixed states, that assumes that all correlations within the register are discord-free (i.e. the correlations are essentially classical) at every step of the…

量子物理 · 物理学 2015-12-11 Hugo Cable , Daniel E. Browne

We study the discrimination of multipartite quantum states by local operations and classical communication. We derive that any optimal discrimination of quantum states spanning a two-dimensional Hilbert space in which each party's space is…

量子物理 · 物理学 2018-01-12 Kenji Nakahira , Tsuyoshi Sasaki Usuda

We define "coherent communication" in terms of a simple primitive, show it is equivalent to the ability to send a classical message with a unitary or isometric operation, and use it to relate other resources in quantum information theory.…

量子物理 · 物理学 2009-11-10 Aram W. Harrow

A natural operational paradigm for distributed quantum and classical information processing involves local operations coordinated by multiple rounds of public communication. In this paper we consider the minimum number of communication…

量子物理 · 物理学 2018-02-07 Eric Chitambar , Min-Hsiu Hsieh

Quantum access to arbitrary classical data encoded in unitary black-box oracles underlies interesting data-intensive quantum algorithms, such as machine learning or electronic structure simulation. The feasibility of these applications…

量子物理 · 物理学 2025-12-23 Shuchen Zhu , Aarthi Sundaram , Guang Hao Low

Electron transport in realistic physical and chemical systems often involves the non-trivial exchange of energy with a large environment, requiring the definition and treatment of open quantum systems. Because the time evolution of an open…

We explore the classical communication over quantum channels with one sender and two receivers, or with two senders and one receiver, First, for the quantum broadcast channel (QBC) and the quantum multi-access channel (QMAC), we study the…

量子物理 · 物理学 2017-12-18 Wei Xie , Xin Wang , Runyao Duan

We propose constructive approaches for the optimization of binary classical communication over a general noisy qubit quantum channel, for both the error probability and the classical capacity functionals. After showing that the optimal…

量子物理 · 物理学 2014-01-09 Nicola Dalla Pozza , Nicola Laurenti , Francesco Ticozzi

We study operator scrambling in quantum circuits built from `super-Clifford' gates. For such circuits it was established in arXiv:2002.12824 that the time evolution of operator entanglement for a large class of many-body operators can be…

量子物理 · 物理学 2025-06-24 Mike Blake , Noah Linden , Anthony P. Thompson

If $G$ is a linearly reductive group acting rationally on a polynomial ring $S$, then the inclusion $S^{G} \hookrightarrow S$ possesses a unique $G$-equivariant splitting, called the Reynolds operator. We describe algorithms for computing…

交换代数 · 数学 2026-02-10 Aryaman Maithani

Identifying computational tasks suitable for (future) quantum computers is an active field of research. Here we explore utilizing quantum computers for the purpose of solving differential equations. We consider two approaches: (i) basis…

量子物理 · 物理学 2021-07-14 Benjamin Zanger , Christian B. Mendl , Martin Schulz , Martin Schreiber

Multi-objective search means searching for any one of several objectives in an unstructured database. Grover's algorithm has quadratic acceleration in multi-objection search than classical ones. Iterated operator in Grover's algorithm is a…

量子物理 · 物理学 2024-09-10 Hao Li , Daowen Qiu , Le Luo

In this paper, we firstly briefly review the duality quantum computer. Distinctly, the generalized quantum gates, the basic evolution operators in a duality quantum computer are no longer unitary, and they can be expressed in terms of…

量子物理 · 物理学 2015-07-14 Shi-Jie Wei , Gui-Lu Long

The universal quantum computer is a device capable of simulating any physical system and represents a major goal for the field of quantum information science. Algorithms performed on such a device are predicted to offer significant gains…

量子物理 · 物理学 2010-01-04 D. Hanneke , J. P. Home , J. D. Jost , J. M. Amini , D. Leibfried , D. J. Wineland