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One of the major achievements of the recently emerged quantum information theory is the introduction and thorough investigation of the notion of quantum channel which is a basic building block of any data-transmitting or data-processing…

Quantum Physics · Physics 2012-03-23 A. S. Holevo , V. Giovannetti

We develop a device-independent framework for testing quantum channels. That is, we falsify a hypothesis about a quantum channel based only on an observed set of input-output correlations. Formally, the problem consists of characterizing…

Quantum Physics · Physics 2017-03-17 Michele Dall'Arno , Sarah Brandsen , Francesco Buscemi

This paper continues the study of stochastic maps, or channels, which break entanglement. We give a detailed description of entanglement-breaking qubit channels, and show that such maps are precisely the convex hull of those known as…

Quantum Physics · Physics 2009-11-10 Mary Beth Ruskai

We investigate what a snapshot of a quantum evolution - a quantum channel reflecting open system dynamics - reveals about the underlying continuous time evolution. Remarkably, from such a snapshot, and without imposing additional…

Quantum Physics · Physics 2009-11-13 M. M. Wolf , J. Eisert , T. S. Cubitt , J. I. Cirac

Quantum correlation can be created by a local operation from some initially classical states. We prove that the necessary and sufficient condition for a local trace-preserving channel to create quantum correlation is that it is not a…

Quantum Physics · Physics 2012-03-08 Xueyuan Hu , Heng Fan , D. L. Zhou , Wu-Ming Liu

We compare quantum dynamics in the presence of Markovian dephasing for a particle hopping on a chain and for an Ising domain wall whose motion leaves behind a string of flipped spins. Exact solutions show that on an infinite chain, the…

Mesoscale and Nanoscale Physics · Physics 2018-05-23 Claudio Castelnovo , Mark I. Dykman , Vadim N. Smelyanskiy , Roderich Moessner , Leonid P. Pryadko

We describe a general approach to proving the impossibility of implementing a quantum channel by local operations and classical communication (LOCC), even with an infinite number of rounds, and find that this can often be demonstrated by…

Quantum Physics · Physics 2017-01-19 Scott M. Cohen

Decoherence of quantum systems is described by quantum channels. However, a complete understanding of such channels, especially in the multi-particle setting, is still an ongoing difficult task. We propose the family of quantum maps that…

We consider quantum channels with one sender and two receivers, used in several different ways for the simultaneous transmission of independent messages. We begin by extending the technique of superposition coding to quantum channels with a…

Quantum Physics · Physics 2011-10-25 Jon Yard , Patrick Hayden , Igor Devetak

Quantum information processing exploits the quantum nature of information. It offers fundamentally new solutions in the field of computer science and extends the possibilities to a level that cannot be imagined in classical communication…

Quantum Physics · Physics 2018-01-09 Laszlo Gyongyosi , Sandor Imre , Hung Viet Nguyen

We introduce a necessary and sufficient criterion for the non-Markovianity of Gaussian quantum dynamical maps based on the violation of divisibility. The criterion is derived by defining a general vectorial representation of the covariance…

Quantum Physics · Physics 2015-08-20 Gianpaolo Torre , Wojciech Roga , Fabrizio Illuminati

In communication networks many different channels must share a limited amount of resources. In order to allow for multiple simultaneous communications, multiple access techniques are routinely employed. With quantum communication, it is…

Quantum Physics · Physics 2007-05-23 Juan Carlos Garcia-Escartin , Pedro Chamorro-Posada

Single-qubit channels are studied under two broad classes: amplitude damping channels and generalized depolarizing channels. A canonical derivation of the Kraus representation of the former, via the Choi isomorphism is presented for the…

Quantum Physics · Physics 2013-12-13 S. Omkar , R. Srikanth , Subhashish Banerjee

Quantum channel capacities are fundamental to quantum information theory. Their definition, however, does not limit the computational resources of sender and receiver. In this work, we initiate the study of computational quantum capacities.…

Quantum Physics · Physics 2026-01-23 Johannes Jakob Meyer , Jacopo Rizzo , Asad Raza , Lorenzo Leone , Sofiene Jerbi , Jens Eisert

The accurate computational study of wavepacket nuclear dynamics is considered to be a classically intractable problem, particularly with increasing dimensions. Here we present two algorithms that, in conjunction with other methods developed…

Quantum Physics · Physics 2025-12-30 Debadrita Saha , Philip Richerme , Srinivasan S. Iyengar

In a recent paper, Hirche and Leditzky introduced the notion of bi-PPT channels which are quantum channels that stay completely positive under composition with a transposition and such that the same property holds for one of their…

Quantum Physics · Physics 2023-04-11 Alexander Müller-Hermes , Satvik Singh

We study dynamical semigroups of positive, but not completely positive maps on finite-dimensional bipartite systems and analyze properties of their generators in relation to non-decomposability and bound-entanglement. An example of…

Quantum Physics · Physics 2015-06-26 F. Benatti , R. Floreanini , M. Piani

We offer a systematic account of decomposition of quantum systems into parts. Different decompositions (structures) are mutually linked via the proper linear canonical transformations. Different kinds of structures, as well as their…

Quantum Physics · Physics 2014-06-03 Jasmina Jeknic-Dugic , Momir Arsenijevic , Miroljub Dugic

This paper provides a characterization for the set of antidegradable qubit channels. The characterization arises from the correspondence between the antidegradability of a channel and the symmetric extendibility of its Choi operator. Using…

Quantum Physics · Physics 2017-12-12 Connor Paddock , Jianxin Chen

The dynamics of quantum systems are generally described by a family of quantum channels (linear, completely positive and trace preserving maps). In this note, we mainly study the range of all possible values of…

Quantum Physics · Physics 2026-01-19 Yuan Li , Zhengli Chen , Zhihua Guo , Yongfeng Pang