dorsal/arxiv
View SchemaTransition of D- Level Quantum Systems Through Quantum Channels with Correlated Noise
| Authors | A. Fahmi, M. Golshani |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0608176 |
| URL | https://arxiv.org/abs/quant-ph/0608176 |
| DOI | 10.1103/PhysRevA.75.042301 |
| Journal | PHYSICAL REVIEW A 75, 042301 (2007) |
Abstract
Entanglement and entanglement-assisted are useful resources to enhance the mutual information of the Pauli channels, when the noise on consecutive uses of the channel has some partial correlations. In this Paper, we study quantum-communication channels in $d$-dimensional systems and derive the mutual information of the quantum channels for maximally entangled states and product states coding with correlated noise. Then, we compare fidelity between these states. Our results show that there exists a certain fidelity memory threshold which depends on the dimension of the Hilbert space $(d)$ and the properties of noisy channels. We calculate the classical capacity of a particular correlated noisy channel and show that in order to achieve Holevo limit, we must use $d$ particles with $d$ degrees of freedom. Our results show that entanglement is a useful means to enhance the mutual information. We choose a special non-maximally entangled state and show that in the quasi-classical depolarizing and quantum depolarizing channels, maximum classical capacity in the higher memory channels is given by the maximally entangled state. Hence, our results show that for high error channels in every degree of memory, maximally entangled states have better mutual information.
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"abstract": "Entanglement and entanglement-assisted are useful resources to enhance the\nmutual information of the Pauli channels, when the noise on consecutive uses of\nthe channel has some partial correlations. In this Paper, we study\nquantum-communication channels in $d$-dimensional systems and derive the mutual\ninformation of the quantum channels for maximally entangled states and product\nstates coding with correlated noise. Then, we compare fidelity between these\nstates. Our results show that there exists a certain fidelity memory threshold\nwhich depends on the dimension of the Hilbert space $(d)$ and the properties of\nnoisy channels. We calculate the classical capacity of a particular correlated\nnoisy channel and show that in order to achieve Holevo limit, we must use $d$\nparticles with $d$ degrees of freedom. Our results show that entanglement is a\nuseful means to enhance the mutual information. We choose a special\nnon-maximally entangled state and show that in the quasi-classical depolarizing\nand quantum depolarizing channels, maximum classical capacity in the higher\nmemory channels is given by the maximally entangled state. Hence, our results\nshow that for high error channels in every degree of memory, maximally\nentangled states have better mutual information.",
"arxiv_id": "quant-ph/0608176",
"authors": [
"A. Fahmi",
"M. Golshani"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.75.042301",
"journal_ref": "PHYSICAL REVIEW A 75, 042301 (2007)",
"title": "Transition of D- Level Quantum Systems Through Quantum Channels with Correlated Noise",
"url": "https://arxiv.org/abs/quant-ph/0608176"
},
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