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For a noisy quantum channel, a quantum error correcting code exists if and only if the joint higher rank numerical ranges associated with the error operators of the channel is non-empty. In this paper, geometric properties of the joint…

Functional Analysis · Mathematics 2008-12-31 Chi-Kwong Li , Yiu-Tung Poon

A photon with a modulated wavefront can produce a quantum communication channel in a larger Hilbert space. For example, higher dimensional quantum key distribution (HD-QKD) can encode information in the transverse linear momentum (LM) or…

General Relativity and Quantum Cosmology · Physics 2018-12-27 Warner A. Miller , Paul M. Alsing , Doyeol Ahn

Communication over a quantum broadcast channel with cooperation between the receivers is considered. The first form of cooperation addressed is classical conferencing, where Receiver 1 can send classical messages to Receiver 2. Another…

Information Theory · Computer Science 2021-06-18 Uzi Pereg , Christian Deppe , Holger Boche

The design of parametric quantum circuits (PQCs) for efficient use in variational quantum simulations (VQS) is subject to two competing factors. On one hand, the set of states that can be generated by the PQC has to be large enough to…

Quantum Physics · Physics 2026-03-13 Lena Funcke , Tobias Hartung , Karl Jansen , Stefan Kühn , Manuel Schneider , Paolo Stornati

Several important measures of quantum correlations of a state of a finite-dimensional composite system are defined as linear combinations of marginal entropies of this state. This paper is devoted to the infinite-dimensional generalizations…

Quantum Physics · Physics 2017-08-23 M. E. Shirokov

Quantum entanglement is one of the most important resources in quantum information. In recent years, the research of quantum entanglement mainly focused on the increase in the number of entangled qubits or the high-dimensional entanglement…

A problem in quantum information theory that has received considerable attention in recent years is the question of multiplicativity of the so-called maximal output purity (MOP) of a quantum channel. This quantity is defined as the maximum…

Quantum Physics · Physics 2009-11-13 Koenraad M. R. Audenaert

Multidimensional rotation serves as a powerful tool for enhancing information reconciliation and extending the transmission distance in continuous-variable quantum key distribution (CV-QKD). However, the lack of closed-form orthogonal…

Quantum Physics · Physics 2025-08-11 Jisheng Dai , Xue-Qin Jiang , Tao Wang , Peng Huang , Guihua Zeng

This work presents a differentiable geometric parameterization of quantum channels in Kraus representation, which can be efficiently probed to find an unknown quantum channel. We explore its feasibility in finding the quasi inverse…

Quantum Physics · Physics 2025-12-02 Zain Ateeq , Muhammad Faryad

An expression is derived characterizing the set of admissible rate pairs for simultaneous transmission of classical and quantum information over a given quantum channel, generalizing both the classical and quantum capacities of the channel.…

Quantum Physics · Physics 2007-05-23 I. Devetak , P. W. Shor

In this paper, we consider fundamental communication limits over a compound channel. Covert communication in the information-theoretic context has been primarily concerned with fundamental limits when the transmitter wishes to communicate…

Information Theory · Computer Science 2019-06-18 Sadaf Salehkalaibar , Mohammad Hossein Yassaee , Vincent Y. F. Tan

Transformations on quantum states form a basic building block of every quantum information system. From photonic polarization to two-level atoms, complete sets of quantum gates for a variety of qubit systems are well known. For multi-level…

Recent advancements in quantum hardware have enabled the realization of high-dimensional quantum states. This work investigates the potential of qutrits in quantum machine learning, leveraging their larger state space for enhanced…

Quantum Physics · Physics 2023-12-19 T. Valtinos , A. Mandilara , D. Syvridis

The characterization of Kirkwood-Dirac (KD) classicality or non-classicality is very important in quantum information processing. In general, the set of KD classical states with respect to two bases is not a convex polytope[J. Math. Phys.…

Quantum Physics · Physics 2024-10-14 Ying-Hui Yang , Shuang Yao , Shi-Jiao Geng , Xiao-Li Wang , Pei-Ying Chen

Pascal's triangle is widely used as a pedagogical tool to explain the "first-order" multiplet patterns that arise in the spectra of $I_N S$ coupled spin-1/2 systems in magnetic resonance. Various other combinatorial structures, which may be…

Quantum Physics · Physics 2024-08-30 Mohamed Sabba

We introduce the concept of quasi-inverse of quantum and classical channels, prove general properties of these inverses and determine them for a large class of channels acting in an arbitrary finite dimension. Therefore we extend the…

Quantum Physics · Physics 2021-08-11 Fereshte Shahbeigi , Koorosh Sadri , Morteza Moradi , Karol Życzkowski , Vahid Karimipour

We investigate how a classical private key can be used by two players, connected by an insecure one-way quantum channel, to perform private communication of quantum information. In particular we show that in order to transmit n qubits…

Quantum Physics · Physics 2007-05-23 Michele Mosca , Alain Tapp , Ronald de Wolf

Quantum addition channels have been recently introduced in the context of deriving entropic power inequalities for finite dimensional quantum systems. We prove a reverse entropy power equality which can be used to analytically prove an…

Quantum Physics · Physics 2026-04-13 Chiranjib Mukhopadhyay , Arun Kumar Pati , Sk Sazim

Quantum communication systems support unique applications in the form of distributed quantum computing, distributed quantum sensing, and several cryptographic protocols. The main enabler in these communication systems is an efficient…

Quantum Physics · Physics 2024-07-15 Seid Koudia , Leonardo Oleynik , Mert Bayraktar , Junaid ur Rehman , Symeon Chatzinotas

A generalized linear sigma model is employed to study the quark structure of low lying scalar as well as pseudoscalar states. The model allows the possible mixing of quark anti-quark states with others made of two quarks and two antiquarks…

High Energy Physics - Phenomenology · Physics 2009-11-13 Amir H. Fariborz , Renata Jora , Joseph Schechter