Completely Positive Maps for Reduced States of Indistinguishable Particles
arXiv:1807.07175 · doi:10.1103/PhysRevA.98.052135
Abstract
We introduce a framework for the construction of completely positive maps for subsystems of indistinguishable fermionic particles. In this scenario, the initial global state is always correlated, and it is not possible to tell system and environment apart. Nonetheless, a reduced map in the operator sum representation is possible for some sets of states where the only non-classical correlation present is exchange.
arXiv comment9 pages, 2 figures. In this new version we eliminated a section with a mistaken definition of mutual information for indistinguishable particles, which was not relevant for the main argument of our paper
References in corpus (25)
- Quantum entanglement
- Introducing Quantum Discord
- The classical-quantum boundary for correlations: discord and related measures
- Quantum Entanglement in Fermionic Lattices
- Quantum Correlations in Systems of Indistinguishable Particles
- The entanglement of indistinguishable particles shared between two parties
- Vanishing quantum discord is necessary and sufficient for completely positive maps
- Completely Positive Maps and Classical Correlations
- Dynamics of open quantum systems initially entangled with environment: Beyond the Kraus representation
- Entanglement and Particle Identity: A Unifying Approach
- Entanglement, Particle Identity and the GNS Construction: A Unifying Approach
- Operational approach to open dynamics and quantifying initial correlations
- A general framework for complete positivity
- Characterizing quantum dynamics with initial system-environment correlations
- Vanishing quantum discord is not necessary for completely-positive maps
- Entanglement of indistinguishable particles as a probe for quantum phase transitions in the extended Hubbard model
- Kraus representation in the presence of initial correlations
- Computable Measures for the Entanglement of Indistinguishable Particles
- Bipartite entanglement in fermion systems
- Quantumness of correlations in indistinguishable particles
- Reduced dynamical maps in the presence of initial correlations
- Fermionic Entanglement in Superconducting Systems
- Quantumness of Correlations in Fermionic Systems
- One-body information loss in fermion systems
- Quantifying Quantum Correlations in Fermionic Systems using Witness Operators