dorsal/arxiv
View SchemaMapping the Schrodinger picture of open quantum dynamics
| Authors | Thomas F. Jordan, Anil Shaji, E. C. G. Sudarshan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0505123 |
| URL | https://arxiv.org/abs/quant-ph/0505123 |
| DOI | 10.1103/PhysRevA.73.012106 |
| Journal | Phys.Rev. A73 (2006) 012106 |
Abstract
For systems described by finite matrices, an affine form is developed for the maps that describe evolution of density matrices for a quantum system that interacts with another. This is established directly from the Heisenberg picture. It separates elements that depend only on the dynamics from those that depend on the state of the two systems. While the equivalent linear map is generally not completely positive, the homogeneous part of the affine maps is, and is shown to be composed of multiplication operations that come simply from the Hamiltonian for the larger system. The inhomogeneous part is shown to be zero if and only if the map does not increase the trace of the square of any density matrix. Properties are worked out in detail for two-qubit examples.
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"abstract": "For systems described by finite matrices, an affine form is developed for the\nmaps that describe evolution of density matrices for a quantum system that\ninteracts with another. This is established directly from the Heisenberg\npicture. It separates elements that depend only on the dynamics from those that\ndepend on the state of the two systems. While the equivalent linear map is\ngenerally not completely positive, the homogeneous part of the affine maps is,\nand is shown to be composed of multiplication operations that come simply from\nthe Hamiltonian for the larger system. The inhomogeneous part is shown to be\nzero if and only if the map does not increase the trace of the square of any\ndensity matrix. Properties are worked out in detail for two-qubit examples.",
"arxiv_id": "quant-ph/0505123",
"authors": [
"Thomas F. Jordan",
"Anil Shaji",
"E. C. G. Sudarshan"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.73.012106",
"journal_ref": "Phys.Rev. A73 (2006) 012106",
"title": "Mapping the Schrodinger picture of open quantum dynamics",
"url": "https://arxiv.org/abs/quant-ph/0505123"
},
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