dorsal/arxiv
View SchemaSelf-consistent non-Markovian theory of a quantum state evolution for quantum information processing
| Authors | Doyeol Ahn, Jinhyoung Lee, S. W. Hwang |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0105065 |
| URL | https://arxiv.org/abs/quant-ph/0105065 |
| DOI | 10.1103/PhysRevA.66.012302 |
Abstract
It is shown that the operator sum representation for non-Markovian dynamics and the Lindblad master equation in Markovian limit can be derived from a formal solution to quantum Liouville equation for a qubit system in the presence of decoherence processes self-consistently. Our formulation is the first principle theory based on projection-operator formalism to obtain an exact reduced density operator in time-convolutionless form starting from the quantum Liouville equation for a noisy quantum computer. The advantage of our approach is that it is general enough to describe a realistic quantum computer in the presence of decoherence provided details of the Hamiltonians are known.
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"abstract": "It is shown that the operator sum representation for non-Markovian dynamics\nand the Lindblad master equation in Markovian limit can be derived from a\nformal solution to quantum Liouville equation for a qubit system in the\npresence of decoherence processes self-consistently. Our formulation is the\nfirst principle theory based on projection-operator formalism to obtain an\nexact reduced density operator in time-convolutionless form starting from the\nquantum Liouville equation for a noisy quantum computer. The advantage of our\napproach is that it is general enough to describe a realistic quantum computer\nin the presence of decoherence provided details of the Hamiltonians are known.",
"arxiv_id": "quant-ph/0105065",
"authors": [
"Doyeol Ahn",
"Jinhyoung Lee",
"S. W. Hwang"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.66.012302",
"title": "Self-consistent non-Markovian theory of a quantum state evolution for quantum information processing",
"url": "https://arxiv.org/abs/quant-ph/0105065"
},
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