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Complete positivity for time-dependent qubit master equations
| Content Provider | Semantic Scholar |
|---|---|
| Author | Hall, Michael J. W. |
| Copyright Year | 2008 |
| Abstract | It is shown that if the decoherence matrix corresponding to a qubit master equation has a block-diagonal real part, then the evolution is determined by a one-dimensional oscillator equation. Further, when the decoherence matrix itself is block-diagonal, then the necessary and sufficient conditions for completely positive evolution may be formulated in terms of the oscillator Hamiltonian or Lagrangian. When the solution of the oscillator equation is not known, an explicit sufficient condition for complete positivity can still be obtained, based on a Hamiltonian/Lagrangian inequality. A rotational form-invariance property is used to characterise the evolution via a single first-order nonlinear differential equation, enabling some further exact results to be obtained. A class of master equations is identified for which complete positivity reduces to the simpler condition of positivity. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/0802.0606v2.pdf |
| Alternate Webpage(s) | https://research-repository.griffith.edu.au/bitstream/handle/10072/42437/74568_1.pdf?sequence=1 |
| Alternate Webpage(s) | http://arxiv.org/pdf/0802.0606v1.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | First-order predicate Hamiltonian (quantum mechanics) Lagrangian (field theory) Nonlinear system Oscillator Device Component Quantum decoherence Qubit Social inequality |
| Content Type | Text |
| Resource Type | Article |
