Moderate Deviation Analysis for Classical Communication over Quantum Channels
Sign Up to like & getrecommendations! Published in 2017 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-017-2971-1
Abstract: We analyse families of codes for classical data transmission over quantum channels that have both a vanishing probability of error and a code rate approaching capacity as the code length increases. To characterise the fundamental… read more here.
Keywords: deviation analysis; quantum; moderate deviation; code ... See more keywords
Coherence of quantum channels
Sign Up to like & getrecommendations! Published in 2018 at "Annals of Physics"
DOI: 10.1016/j.aop.2018.08.014
Abstract: We investigate the coherence of quantum channels using the Choi-Jamiolkowski isomorphism. The relation between the coherence and the purity of the channel respects a duality relation. It characterizes the allowed values of coherence when the… read more here.
Keywords: coherence quantum; coherence; quantum channels; purity ... See more keywords
Factorizations of quantum channels
Sign Up to like & getrecommendations! Published in 2018 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2018.05.001
Abstract: Abstract We find a connection between the existence of a factorization of a quantum channel and the existence of low-rank solutions to certain linear matrix equations. Using this, we show that if a quantum channel… read more here.
Keywords: factorizations quantum; quantum channels;
Generalizations of 2-Dimensional Diagonal Quantum Channels with Constant Frobenius Norm
Sign Up to like & getrecommendations! Published in 2019 at "Reports on Mathematical Physics"
DOI: 10.1016/s0034-4877(19)30055-2
Abstract: We introduce the set of quantum channels with constant Frobenius norm, the set of diagonal channels and the notion of equivalence of one-parameter families of channels. First, we show that all diagonal 2-dimensional channels with… read more here.
Keywords: constant frobenius; channels constant; quantum channels; frobenius norm ... See more keywords
Asymptotics of quantum channels
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/acd828
Abstract: We discuss several aspects concerning the asymptotic dynamics of dicretetime semigroups associated with a quantum channel. By using an explicit expression of the asymptotic map, which describes the action of the quantum channel on its… read more here.
Keywords: asymptotics quantum; quantum channel; asymptotic dynamics; quantum channels ... See more keywords
Device-independent tests of quantum channels
Sign Up to like & getrecommendations! Published in 2017 at "Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences"
DOI: 10.1098/rspa.2016.0721
Abstract: 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 the… read more here.
Keywords: independent tests; tests quantum; input; quantum channels ... See more keywords
Coherence of quantum channels
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review A"
DOI: 10.1103/physreva.100.052311
Abstract: We investigate the coherence of quantum channels and establish a resource theory for quantifying the coherence of quantum channels via Choi matrix. To this aim, we define the incoherent channels and incoherent superchannels. This theory… read more here.
Keywords: coherence quantum; quantum channels; coherence;
Geometry on the manifold of Gaussian quantum channels
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review A"
DOI: 10.1103/physreva.100.062308
Abstract: In the space of quantum channels, we establish the geometry that allows us to make statistical predictions about relative volumes of entanglement breaking channels among all the Gaussian quantum channels. The underlying metric is constructed… read more here.
Keywords: gaussian quantum; manifold gaussian; geometry; geometry manifold ... See more keywords
Quantum circuits for quantum channels
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review A"
DOI: 10.1103/physreva.95.052316
Abstract: We study the implementation of quantum channels with quantum computers while minimizing the experimental cost, measured in terms of the number of Controlled-NOT (C-NOT) gates required (single-qubit gates are free). We consider three different models.… read more here.
Keywords: channels quantum; quantum circuits; circuits quantum; quantum channels ... See more keywords
Approaches for approximate additivity of the Holevo information of quantum channels
Sign Up to like & getrecommendations! Published in 2018 at "Physical Review A"
DOI: 10.1103/physreva.97.012332
Abstract: We study quantum channels that are close to another channel with weakly additive Holevo information and derive upper bounds on their classical capacity. Examples of channels with weakly additive Holevo information are entanglement-breaking channels, unital… read more here.
Keywords: holevo information; quantum; capacity; quantum channels ... See more keywords
Energy-Constrained Private and Quantum Capacities of Quantum Channels
Sign Up to like & getrecommendations! Published in 2018 at "IEEE Transactions on Information Theory"
DOI: 10.1109/tit.2018.2854766
Abstract: This paper establishes a general theory of energy-constrained quantum and private capacities of quantum channels. We begin by defining various energy-constrained communication tasks, including quantum communication with a uniform energy constraint, entanglement transmission with an… read more here.
Keywords: energy constrained; energy; quantum channels; energy constraint ... See more keywords