Sequential measurements and entropy

Abstract

We sketch applications of the so-called J-equation to quantum information theory concerning fundamental properties of the von Neumann entropy. The J-equation has recently be proposed as a sort of progenitor of the various versions of the Jarzynski equation. It has been derived within a general framework of sequential measurements that is slightly generalised here.

arXiv admin note: text overlap with arXiv:1905.11069

References in corpus (7)

• Fluctuation theorems: Work is not an observable
• Rare events and the convergence of exponentially averaged work values
• Symmetry in Full Counting Statistics, Fluctuation Theorem, and Relations among Nonlinear Transport Coefficients in the Presence of a Magnetic Field
• Stochastic thermodynamics of chemical reaction networks
• Work measurement as a generalized quantum measurement
• Measuring work and heat in ultracold quantum gases
• Nonequilibrium work statistics of an Aharonov-Bohm flux

Cited by in corpus (4)

• Review: Quantum Metrology and Sensing with Many-Body Systems
• Stochastic thermodynamics of a finite quantum system coupled to a heat bath
• Conditional Action and imperfect Erasure of Qubits
• Dilation of stochastic matrices by coarse graining