dorsal/arxiv
View SchemaSimulating noisy quantum protocols with quantum trajectories
| Authors | Gabriel G. Carlo, Giuliano Benenti, Giulio Casati, Carlos Mejia-Monasterio |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0402102 |
| URL | https://arxiv.org/abs/quant-ph/0402102 |
| DOI | 10.1103/PhysRevA.69.062317 |
| Journal | Phys. Rev. A 69, 062317 (2004) |
Abstract
The theory of quantum trajectories is applied to simulate the effects of quantum noise sources induced by the environment on quantum information protocols. We study two models that generalize single qubit noise channels like amplitude damping and phase flip to the many-qubit situation. We calculate the fidelity of quantum information transmission through a chaotic channel using the teleportation scheme with different environments. In this example, we analyze the role played by the kind of collective noise suffered by the quantum processor during its operation. We also investigate the stability of a quantum algorithm simulating the quantum dynamics of a paradigmatic model of chaos, the baker's map. Our results demonstrate that, using the quantum trajectories approach, we are able to simulate quantum protocols in the presence of noise and with large system sizes of more than 20 qubits.
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"abstract": "The theory of quantum trajectories is applied to simulate the effects of\nquantum noise sources induced by the environment on quantum information\nprotocols. We study two models that generalize single qubit noise channels like\namplitude damping and phase flip to the many-qubit situation. We calculate the\nfidelity of quantum information transmission through a chaotic channel using\nthe teleportation scheme with different environments. In this example, we\nanalyze the role played by the kind of collective noise suffered by the quantum\nprocessor during its operation. We also investigate the stability of a quantum\nalgorithm simulating the quantum dynamics of a paradigmatic model of chaos, the\nbaker\u0027s map. Our results demonstrate that, using the quantum trajectories\napproach, we are able to simulate quantum protocols in the presence of noise\nand with large system sizes of more than 20 qubits.",
"arxiv_id": "quant-ph/0402102",
"authors": [
"Gabriel G. Carlo",
"Giuliano Benenti",
"Giulio Casati",
"Carlos Mejia-Monasterio"
],
"categories": [
"quant-ph",
"cond-mat.mes-hall",
"nlin.CD"
],
"doi": "10.1103/PhysRevA.69.062317",
"journal_ref": "Phys. Rev. A 69, 062317 (2004)",
"title": "Simulating noisy quantum protocols with quantum trajectories",
"url": "https://arxiv.org/abs/quant-ph/0402102"
},
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