Characterising quantum measurement through environmental stochastic entropy production in a two spin 1/2 system

Abstract

Quantum state diffusion is a framework within which measurement may be described as the continuous and gradual collapse of a quantum system to an eigenstate as a result of interaction with its environment. The irreversible nature of the quantum trajectories that arise may be characterised by the environmental stochastic entropy production associated with the measurement. We consider a system of two spin 1/2 particles undergoing either single particle measurements or measurements of the total z-spin component S_{z}. The mean asymptotic rates of environmental stochastic entropy production associated with collapse can depend on the eigenstate of S_{z} selected, and on the initial state of the system, offering an additional avenue for characterising quantum measurement.

References in corpus (28)

• A nonequilibrium equality for free energy differences
• The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences
• Entropy production along a stochastic trajectory and an integral fluctuation theorem
• A Gallavotti-Cohen Type Symmetry in the Large Deviation Functional for Stochastic Dynamics
• Fluctuation theorem for stochastic dynamics
• Quantum heat engines and refrigerators: Continuous devices
• Non-Markovian Quantum State Diffusion
• Three detailed fluctuation theorems
• Fluctuation theorems for stochastic dynamics
• Quantum Trajectories and Quantum Measurement Theory
• Genuine quantum trajectories for non-Markovian processes
• Entropy production in full phase space for continuous stochastic dynamics
• Entropy production along nonequilibrium quantum jump trajectories
• Qubit models of weak continuous measurements
• Non-equilibrium thermodynamics of stochastic systems with odd and even variables
• Simulating spin-boson dynamics with stochastic Liouville-von Neumann equations
• The interpretation of non-Markovian stochastic Schrödinger equations as a hidden-variable theory
• Entropy production and information fluctuations along quantum trajectories
• Quantum measurement engines and their relevance for quantum interpretations
• Quantum heat engine with long-range advantages
• Entropy production from stochastic dynamics in discrete full phase space
• Stochastic entropy production arising from nonstationary thermal transport
• Kraus representation for density operator of arbitrary open qubit system
• Quantum-jump vs stochastic Schrödinger dynamics for Gaussian states with quadratic Hamiltonians and linear Lindbladians
• Stochastic quantum trajectories demonstrate the Quantum Zeno Effect in open spin 1/2, spin 1 and spin 3/2 systems
• Stochastic entropy production for continuous measurements of an open quantum system
• Memory effects in a sequence of measurements of non-commuting observables
• Stochastic entropy production associated with quantum measurement in a framework of Markovian quantum state diffusion