Family of Quantum Mutual Information in Multiparty Quantum Systems
arXiv:2407.16365 · doi:10.1016/j.physleta.2024.130091
Abstract
The characterization of information within a multiparty system is both significant and complex. This paper presents the concept of generalized conditional mutual information, along with a family of multiparty quantum mutual information measures. We provide interpretations and delineate the properties of these concepts, while also pointing out certain unresolved issues. The generalized conditional mutual information serves to encapsulate the interdependencies and correlations among various components of a multiparty quantum system. Additionally, various formulations of multiparty quantum mutual information contribute to a deeper comprehension of classical, quantum, and total correlations. These insights have the potential to propel fundamental research in the field of quantum information theory.
arXiv comment10 pages, 1 figure, 1 table, manuscript revised, title changed
References in corpus (24)
- Quantum entanglement
- Quantum Machine Learning
- Machine learning and the physical sciences
- The classical-quantum boundary for correlations: discord and related measures
- On the quantum, classical and total amount of correlations in a quantum state
- Quantum information can be negative
- Negative entropy and information in quantum mechanics
- The thermodynamic meaning of negative entropy
- Observation of multi-component atomic Schrödinger cat states of up to 20 qubits
- Limits for entanglement measures
- Quantum state merging and negative information
- Quantum discord and its allies: a review
- Inequalities for Quantum Entropy: A Review with Conditions for Equality
- Genuine quantum and classical correlations in multipartite systems
- Quantum Mutual Information as a Probe for Many-Body Localization
- Monotonicity of the Quantum Relative Entropy Under Positive Maps
- Metrological characterisation of non-Gaussian entangled states of superconducting qubits
- Multipartite Classical and Quantum Secrecy Monotones
- General monogamy property of global quantum discord and the application
- Multiparty Quantum Mutual Information: An alternative definition
- Conditions for monogamy of quantum correlations in multipartite systems
- ScQ cloud quantum computation for generating Greenberger-Horne-Zeilinger states of up to 10 qubits
- Total correlations and mutual information
- The importance of using the averaged mutual information when quantifying quantum objectivity