Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:2011.00237 · Reports on Mathematical Physics

On diagonal quantum channels

Amir R. Arab

Published Aug 1, 2021• 2 citations
arXivHTMLPDF
DOI
10.1016/s0034-4877(21)00056-2

Related papers

Generalizations of 2-Dimensional Diagonal Quantum Channels with Constant Frobenius Norm

Ivan Sergeev

arXiv:1903.08420•Reports on Mathematical Physics•Jun 1, 2019•6 citations

Linear quantum systems with diagonal passive Hamiltonian and a single dissipative channel

Shan Ma, Ian R. Petersen, Matthew J. Woolley

arXiv:1511.04929•Systems & Control Letters•Dec 22, 2016•12 citations

Ergodic theory of diagonal orthogonal covariant quantum channels

Satvik Singh, Nilanjana Datta, Ion Nechita

Abstract We analyse the ergodic properties of quantum channels that are covariant with respect to diagonal orthogonal transformations. We prove that the ergodic behaviour of a channel in this class is essentially governed by a classical stochastic matrix. This allows us to exploit tools from classical ergodic theory to study quantum ergodicity of such channels. As an application of our analysis, we study dual unitary brickwork circuits which have recently been proposed as minimal models of quantum chaos in many-body systems. Upon imposing a local diagonal orthogonal invariance symmetry on these circuits, the long-term behaviour of spatio-temporal correlations between local observables in such circuits is completely determined by the ergodic properties of a channel that is covariant under diagonal orthogonal transformations. We utilize this fact to show that such symmetric dual unitary circuits exhibit a rich variety of ergodic behaviours, thus emphasizing their importance.

arXiv:2206.01145•Letters in Mathematical Physics•Oct 17, 2024•10 citations

On the extreme points of quantum channels

Shmuel Friedland, Raphael Loewy

arXiv:1309.5898•Linear Algebra and its Applications•Feb 10, 2016•3 citations

The Information of Quantum Channels

Mark M. Wilde

Cambridge University Press eBooks•Apr 18, 2013•0 citations

Entanglement of Bell Diagonal States Induced by Quantum Channels

Varsha Sambhaje, Suprabhat Sinha, Anju Chaurasia

Bell states are special sets of entangled states that serve as a foundation for the corresponding Hilbert space. Being the maximally entangled states, they have significant importance in the field of quantum information theory. Among the mixed two-qubit state space, a highly intriguing limited class of states is the Bell diagonal states. Despite their inherent simplicity, Bell diagonal states exhibits a diverse range of correlations. In this paper, we explore the behaviour of Bell diagonal states under different quantum channels to pursue the geometrical illustration of quantum correlations leading to the entanglement. We propose the convex combination of distinct Bell states to prepare the Bell diagonal states. The whole class of Bell diagonal states is generated and entanglement is simulated throughout each parameter space and compared to the theory.

International Conference on Computing, Communication, and Intelligent Systems (ICCCIS)•Nov 3, 2023•1 citation
Abstract We analyse the ergodic properties of quantum channels that are covariant with respect to diagonal orthogonal transformations. We prove that the ergodic behaviour of a channel in this class is essentially governed by a classical stochastic matrix. This allows us to exploit tools from classical ergodic theory to study quantum ergodicity of such channels. As an application of our analysis, we study dual unitary brickwork circuits which have recently been proposed as minimal models of quantum chaos in many-body systems. Upon imposing a local diagonal orthogonal invariance symmetry on these circuits, the long-term behaviour of spatio-temporal correlations between local observables in such circuits is completely determined by the ergodic properties of a channel that is covariant under diagonal orthogonal transformations. We utilize this fact to show that such symmetric dual unitary circuits exhibit a rich variety of ergodic behaviours, thus emphasizing their importance.
Bell states are special sets of entangled states that serve as a foundation for the corresponding Hilbert space. Being the maximally entangled states, they have significant importance in the field of quantum information theory. Among the mixed two-qubit state space, a highly intriguing limited class of states is the Bell diagonal states. Despite their inherent simplicity, Bell diagonal states exhibits a diverse range of correlations. In this paper, we explore the behaviour of Bell diagonal states under different quantum channels to pursue the geometrical illustration of quantum correlations leading to the entanglement. We propose the convex combination of distinct Bell states to prepare the Bell diagonal states. The whole class of Bell diagonal states is generated and entanglement is simulated throughout each parameter space and compared to the theory.