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   Articles with "quantum channels" as a keyword



Moderate Deviation Analysis for Classical Communication over Quantum Channels

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recommendations! 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

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recommendations! 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
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Factorizations of quantum channels

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recommendations! 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

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recommendations! 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

A sufficient criterion for divisibility of quantum channels

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recommendations! Published in 2024 at "Journal of Mathematical Physics"

DOI: 10.1063/5.0231812

Abstract: We present a simple, dimension-independent criterion which guarantees that some quantum channel Φ is divisible, i.e., that there exists a non-trivial factorization Φ = Φ1Φ2. The idea is to first define an “elementary” channel Φ2… read more here.

Keywords: criterion; sufficient criterion; factorization; divisibility quantum ... See more keywords

Quantifying noncovariance of quantum channels with respect to groups

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recommendations! Published in 2024 at "Physica Scripta"

DOI: 10.1088/1402-4896/ad7a2b

Abstract: A quantum channel is covariant with respect to a group if it commutes with the action of the group. In general, a quantum channel may not be covariant with respect to a given group. The… read more here.

Keywords: channels respect; channel noncovariance; noncovariance quantum; noncovariance ... See more keywords

Asymptotics of quantum channels

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recommendations! 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

Reduction of unitary operators, quantum graphs and quantum channels

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recommendations! Published in 2024 at "Journal of Physics A: Mathematical and Theoretical"

DOI: 10.1088/1751-8121/ada2c8

Abstract: Given a unitary operator in a finite dimensional complex vector space, its unitary reduction to a subspace is defined. The application to quantum graphs is discussed. It is shown how the reduction allows to generate… read more here.

Keywords: reduction unitary; unitary operators; reduction; quantum ... See more keywords

Device-independent tests of quantum channels

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recommendations! 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

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recommendations! 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

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recommendations! 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