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We connect two key concepts in quantum information: compatibility and divisibility of quantum channels. Two channels are compatible if they can be both obtained via marginalization from a third channel. A channel divides another channel if…

量子物理 · 物理学 2022-07-27 Cristhiano Duarte , Lorenzo Catani , Raphael C. Drumond

Divisibility of dynamical maps turns out to be a fundamental notion in characterising Markovianity of quantum evolution, although the decision problem for divisibility itself is computationally intractable. In this work, we propose the…

量子物理 · 物理学 2016-08-02 Joonwoo Bae , Dariusz Chruscinski

We address the question of the existence of quantum channels that are divisible in two quantum channels but not in three or, more generally, channels divisible in $n$ but not in $n+1$ parts. We show that for the qubit those channels…

量子物理 · 物理学 2023-03-07 David Davalos , Mario Ziman

We present a comprehensive and up to date review on the concept of quantum non-Markovianity, a central theme in the theory of open quantum systems. We introduce the concept of quantum Markovian process as a generalization of the classical…

量子物理 · 物理学 2014-08-26 Ángel Rivas , Susana F. Huelga , Martin B. Plenio

We investigate the possibility of dividing quantum channels into concatenations of other channels, thereby studying the semigroup structure of the set of completely-positive trace-preserving maps. We show the existence of 'indivisible'…

数学物理 · 物理学 2015-06-26 Michael M. Wolf , J. Ignacio Cirac

Open quantum dynamics can be categorized in several ways, including according to their divisibility. For any quantum channel acting for any finite time period, we propose measures of P-indivisibility and CP-indivisibility, where P and CP…

量子物理 · 物理学 2024-07-30 Priya Ghosh , Soumyajit Pal , Ujjwal Sen

Given a set of local dynamics, are they compatible with a global dynamics? We systematically formulate these questions as quantum channel marginal problems. These problems are strongly connected to the generalization of the no-signaling…

量子物理 · 物理学 2022-05-20 Chung-Yun Hsieh , Matteo Lostaglio , Antonio Acín

World-wide efforts aim at the realization of advanced quantum simulators and processors. However, despite the development of intricate hardware and pulse control systems, it may still not be generally known which effective quantum dynamics,…

We formulate and study, in general terms, the problem of quantum system identification, i.e., the determination (or estimation) of unknown quantum channels through their action on suitably chosen input density operators. We also present a…

量子物理 · 物理学 2007-05-23 Maxim Raginsky

In the problem of quantum channel discrimination, one distinguishes between a given number of quantum channels, which is done by sending an input state through a channel and measuring the output state. This work studies applications of…

量子物理 · 物理学 2022-09-08 Andrey Kardashin , Anna Vlasova , Anastasiia Pervishko , Dmitry Yudin , Jacob Biamonte

Non-Markovianty of open quantum systems dynamics is a physically relevant property which is usually associated with the backflow of (quantum) information. Using this paradigmatic marker, we develop an operational framework to investigate…

量子物理 · 物理学 2024-07-16 Thiago Melo D. Azevedo , Cristhiano Duarte , Nadja K. Bernardes

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…

量子物理 · 物理学 2009-11-13 M. M. Wolf , J. Eisert , T. S. Cubitt , J. I. Cirac

We propose a general method to operationally quantify the resourcefulness of quantum channels via channel discrimination, an important information processing task. A main result is that the maximum success probability of distinguishing a…

量子物理 · 物理学 2020-03-04 Lu Li , Kaifeng Bu , Zi-Wen Liu

We have established a novel method to detect non-Markovian indivisible quantum channels using structural physical approximation. We have shown that this method can be used to detect eternal non -Markovian operations. We have further…

Quantum channels generally reduce the distinguishability of quantum states, limiting information transmission and processing. Previous work introduced a protocol capable of increasing the distinguishability of states after the action of a…

量子物理 · 物理学 2026-05-08 Gabriel M. Arantes , Barbara Amaral , Nadja K. Bernardes

Engineering quantum systems offers great opportunities both technologically and scientifically for communication, computation, and simulation. The construction and operation of large scale quantum information devices presents a grand…

量子物理 · 物理学 2012-05-30 Sophie G. Schirmer , Daniel K. L. Oi , Weiwei Zhou , Erling Gong , Ming Zhang

We present two projects concerning the main part of my PhD work. In the first one we study quantum channels, which are the most general operations mapping quantum states into quantum states, from the point of view of their divisibility…

量子物理 · 物理学 2020-09-02 David Davalos

We present a method to detect properties of quantum channels, assuming that some a priori information about the form of the channel is available. The method is based on a correspondence with entanglement detection methods for multipartite…

量子物理 · 物理学 2013-11-13 C. Macchiavello , M. Rossi

Unital quantum channels, defined by their property of leaving the maximally mixed state invariant, form an important class of quantum operations. A distinguished subset of these channels can be represented as a probabilistic mixture of…

量子物理 · 物理学 2026-03-19 Charlotte Bäcker , Konstantin Beyer , Walter T. Strunz

We identify two broad types of noninvertibilities in quantum dynamical maps, one necessarily associated with CP indivisibility and one not so. We study the production of (non-)Markovian, invertible maps by the process of mixing…

量子物理 · 物理学 2023-10-17 Vinayak Jagadish , R. Srikanth , Francesco Petruccione
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