Quantum Jarzynski equality with multiple measurement and feedback for isolated system

Pramana

Shubhashis Rana1¹  A M Jayannavar¹  Sourabh Lahiri¹ 

[1] Institute of Physics, Sachivalaya Marg, Bhubaneswar 751 005, India$$

关键词: Fluctuation theorems;    Jarzynski equality;    measurement and feedback;    mutual information.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this paper, we derive the Jarzynski equality (JE) for an isolated quantum system in three different cases: (i) the full evolution is unitary with no intermediate measurements, (ii) with intermediate measurements of arbitrary observables being performed, and (iii) with intermediate measurements whose outcomes are used to modify the external protocol (feedback). We assume that the measurements will involve errors that are purely classical in nature. Our treatment is based on path probability in state space for each realization. This is in contrast with the formal approach based on projection operator and density matrices. We find that the JE remains unaffected in the second case, but gets modified in the third case where the mutual information between the measured values with the actual eigenvalues must be incorporated into the relation.

【 授权许可】

Unknown