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Detecting positive quantum capacities of quantum channels
AbstractDetermining whether a noisy quantum channel can be used to reliably transmit quantum information is a challenging problem in quantum information theory. This is because it requires computation of the channel’s coherent information for an unbounded number of copies of the channel.
Singh, S, Datta, N
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A first quantum revolution has already brought quantum technologies into our everyday life for decades: in fact, electronics and optics are based on the quantum mechanical principles. Today, a second quantum revolution is underway, leveraging the quantum
A. Manzalini, M. Amoretti
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Quantum capacities for entanglement networks [PDF]
We discuss quantum capacities for two types of entanglement networks: $\mathcal{Q}$ for the quantum repeater network with free classical communication, and $\mathcal{R}$ for the tensor network as the rank of the linear operation represented by the tensor network.
Nengkun Yu+3 more
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The capacity of black holes to transmit quantum information [PDF]
We study the properties of the quantum information transmission channel that emerges from the quantum dynamics of particles interacting with a black hole horizon.
Adami, Christoph, Bradler, Kamil
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On Entangled Information and Quantum Capacity [PDF]
The pure quantum entanglement is generalized to the case of mixed compound states to include the classical and quantum encodings as particular cases. The true quantum entanglements are characterized as transpose-CP but not CP maps. The entangled information is introduced as the relative entropy of the mutual and the input state and total information ...
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The Energy Spectra and Heat Capacity of GaAs Gaussian Quantum Dot in an External Magnetic Field
In this paper, a theoretical study of the energy spectra and the heat capacity of one electron quantum dot with Gaussian Confinement in an external magnetic field are presented.
Mohammad Elsaid+2 more
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Channel covariance, twirling, contraction, and some upper bounds on the quantum capacity [PDF]
Evaluating the quantum capacity of quantum channels is an important but difficult problem, even for channels of low input and output dimension. Smith and Smolin showed that the quantum capacity of the Clifford-twirl of a qubit amplitude damping channel ...
Yingkai Ouyang
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The Capacity of Quantum Neural Networks [PDF]
Quantum neural networks (QNN) are a promising application of near-term quantum computers. We present an information theory of QNN’s expressive power, which we apply to an example optical QNN based on a Gaussian Boson Sampler.
Peter L. McMahon, Logan G. Wright
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On the Second-Order Asymptotics for Entanglement-Assisted Communication [PDF]
The entanglement-assisted classical capacity of a quantum channel is known to provide the formal quantum generalization of Shannon's classical channel capacity theorem, in the sense that it admits a single-letter characterization in terms of the quantum ...
Datta, Nilanjana+2 more
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The expressive capacity of physical systems employed for learning is limited by the unavoidable presence of noise in their extracted outputs. Though present in physical systems across both the classical and quantum regimes, the precise impact of noise on
Fangjun Hu+8 more
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