Derivation of the Lindblad generator structure by use of the Itô stochastic calculus

✍ Scribed by Stephen L Adler

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 48 KB
• Volume: 265
• Category: Article
• ISSN: 0375-9601
• DOI: 10.1016/s0375-9601(99)00847-6

✦ Synopsis

We use the Ito stochastic calculus to give a simple derivation of the Lindblad form for the generator of a completely positive density matrix evolution, by specialization from the corresponding global form for a completely positive map. As a by-product, we obtain a generalized generator for a completely positive stochastic density matrix evolution.