Lazy states: sufficient and necessary condition for zero quantum entropy rates under any coupling to the environment
arXiv:1004.5405 · doi:10.1103/PhysRevLett.106.050403
Abstract
We find the necessary and sufficient conditions for the entropy rate of the system to be zero under any system-environment Hamiltonian interaction. We call the class of system-environment states that satisfy this condition lazy states. They are a generalization of classically correlated states defined by quantum discord, but based on projective measurements of any rank. The concept of lazy states permits the construction of a protocol for detecting global quantum correlations using only local dynamical information. We show how quantum correlations to the environment provide bounds to the entropy rate, and how to estimate dissipation rates for general non-Markovian open quantum systems.
4 pages
References in corpus (20)
- A computable measure of entanglement
- Decoherence, einselection, and the quantum origins of the classical
- Introducing Quantum Discord
- Concentrating Partial Entanglement by Local Operations
- Classical, quantum and total correlations
- Decoherence Free Subspaces for Quantum Computation
- Dynamical Decoupling of Open Quantum Systems
- Noiseless Quantum Codes
- Robustness of entanglement
- Quantum Zeno subspaces
- Almost all quantum states have non-classical correlations
- Symmetrizing Evolutions
- Classical Correlations and Entanglement in Quantum Measurements
- Completely Positive Maps and Classical Correlations
- Entanglement capabilities of non-local Hamiltonians
- Dissipation and Decoherence in a Quantum Register
- Purity and State Fidelity of Quantum Channels via Hamiltonians
- Linear Assignment Maps for Correlated System-Environment States
- Kraus representation in the presence of initial correlations
- How to detect a possible correlation from the information of a sub-system in quantum mechanical systems
Cited by in corpus (17)
- The classical-quantum boundary for correlations: discord and related measures
- Behavior of Quantum Correlations under Local Noise
- Fluctuations in extractable work bound the charging power of quantum batteries
- Theoretical and experimental aspects of quantum discord and related measures
- Tight, robust, and feasible quantum speed limits for open dynamics
- Evolution equation for geometric quantum correlation measures
- Speed limits in Liouville space for open quantum systems
- Unification of witnessing initial system-environment correlations and witnessing non-Markovianity
- Necessary and sufficient condition for saturating the upper bound of quantum discord
- Extracting Quantum Dynamical Resources: Consumption of Non-Markovianity for Noise Reduction
- Almost All Quantum States Have Low Entropy Rates for Any Coupling to the Environment
- Monogamy deficit for quantum correlation in multipartite quantum system
- Quantum discord under system-environment coupling: the two-qubit case
- Mutual Information is not a Reliable Measure for Variations in Total Correlations
- Unifying Treatment of Discord via Relative Entropy
- What bipartite states are lazy
- A time-dependent Tsirelson's bound from limits on the rate of information gain in quantum systems