Abstract
We study the convergence of density operators of linear quantum systems towards their steady states in trace norm. We give compact and intuitive necessary and sufficient conditions for such linear quantum systems to have pure Gaussian steady states in terms of the Hamiltonian and coupling operators. Furthermore, using the nullifiers concept in Gu et al (2009 Phys. Rev. A 79), we show that set of the nullifiers of these states are spanned by the coupling operators and other operators obtained via the commutation of Hamiltonian and coupling operators.
| Original language | English |
|---|---|
| Article number | 055301 |
| Journal | Journal of Physics A: Mathematical and Theoretical |
| Volume | 53 |
| Issue number | 5 |
| DOIs | |
| State | Published - 8 Jan 2020 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2020 IOP Publishing Ltd.
Keywords
- pure Gaussian state
- quantum information processing
- quantum linear systems
- quantum stochastic differential equations
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Modeling and Simulation
- Mathematical Physics
- General Physics and Astronomy
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