Fock majorization in bosonic quantum channels with a passive environment
| Autor: | Nicolas J. Cerf, Michael G. Jabbour |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Statistics and Probability
Gaussian General Physics and Astronomy FOS: Physical sciences Context (language use) Unitary transformation 01 natural sciences Unitary state Fock space 03 medical and health sciences symbols.namesake Theoretical physics 0103 physical sciences 010306 general physics Majorization Quantum Mathematical Physics 030304 developmental biology Physics 0303 health sciences Quantum Physics Statistical and Nonlinear Physics State (functional analysis) Modeling and Simulation symbols Quantum Physics (quant-ph) |
| DOI: | 10.48550/arxiv.1806.06044 |
| Popis: | We introduce a class of quantum channels called passive-environment bosonic channels. These channels are relevant from a quantum thermodynamical viewpoint because they correspond to the energy-preserving linear coupling of a bosonic system with a bosonic environment that is in a passive state (no energy can be extracted from it by using a unitary transformation) followed by discarding the environment. The Fock-majorization relation defined in [New J. Phys. 18, 073047 (2016)] happens to be especially useful in this context as, unlike regular majorization, it connects the disorder of a state together with its energy. Our main result here is the preservation of Fock majorization across all passive-environment bosonic channels. This implies a similar preservation property for regular majorization over the set of passive states, and it also extends to passive-environment channels whose Stinespring dilation involves an active Gaussian unitary. Beyond bosonic systems, the introduced class of passive environment operations naturally generalizes thermal operations and is expected to provide new insights into the thermodynamics of quantum systems. Comment: 15 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|