Control of Quantum Open Systems: Theory and Experiment

Abstract

This project will go beyond the current practice of assuming an initial complete non-correlation between a quantum subsystem and its environment by developing a rigorous and consistent framework for quantum dynamical maps by including correlated initial conditions. It will also develop new quantum speed limits for open quantum systems with applications to clock synchronization and metrology. A consistent framework for the dynamics arising from general initial conditions will be explored by pursuing a general formulation for linear subsystem dynamical maps in the presence of initial system-bath correlations; this has been indicated to be possible in the course of the current MURI project. Quantum information theory will be modified to take into account these more general dynamics, requiring fundamental results in the theory to be reformulated and reproved if the extension is to be achieved. An important part of this work will be to understand under what circumstances, if any, the different behavior of these non-CP maps may be exploited for quantum gains. Also, . quantum speed limits in open systems using a Hamiltonian formulation will be studied, thus avoiding the need for Markovian approximations. These have generated and are expected to generate a stronger series of new inequalities relating quantum information leakage, fidelity, and coherence.

Document Details

Document Type
DoD Grant Award
Publication Date
Jan 12, 2017
Source ID
W911NF1510582

Entities

People

  • Daniel Lidar

Organizations

  • Army Contracting Command
  • United States Army
  • University of Southern California

Tags

Fields of Study

  • Physics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Quantum Dot Semiconductor Device Photonics and Graphene Optoelectronic Materials and THz Physics.

Technology Areas

  • Quantum Computing