Operator Structures and Quantum One-Way LOCC Conditions
arXiv:1612.03796 · doi:10.1063/1.5000845
Abstract
We conduct the first detailed analysis in quantum information of recently derived operator relations from the study of quantum one-way local operations and classical communications (LOCC). We show how operator structures such as operator systems, operator algebras, and Hilbert C*-modules all naturally arise in this setting, and we make use of these structures to derive new results and new derivations of some established results in the study of LOCC. We also show that perfect distinguishability under one-way LOCC and under arbitrary operations is equivalent for several families of operators that appear jointly in matrix and operator theory and quantum information theory.
arXiv comment14 pages
References in corpus (15)
- Quantum entanglement
- Quantum Nonlocality without Entanglement
- Local Distinguishability of Multipartite Orthogonal Quantum States
- Unambiguous Discrimination Between Linearly-Independent Quantum States
- An improved bound on distillable entanglement
- Nonlocality, Asymmetry, and Distinguishing Bipartite States
- Distinguishability of the Bell states
- Local indistinguishability and LOCC monotones
- Local indistinguishability: more nonlocality with less entanglement
- Distinguishing Bipartitite Orthogonal States using LOCC: Best and Worst Cases
- Optimal local discrimination of two multipartite pure states
- Distinguishability of maximally entangled states
- Three maximally entangled states can require two-way LOCC for local discrimination
- Finding a maximally correlated state - Simultaneous Schmidt decomposition of bipartite pure states
- Tight bounds on the distinguishability of quantum states under separable measurements
Cited by in corpus (5)
- Optimal resource states for local state discrimination
- Quantum Error Correction and One-Way LOCC State Distinguishability
- Vector Representations of Graphs and Distinguishing Quantum Product States with One-way LOCC
- Operator and Graph Theoretic Techniques for Distinguishing Quantum States via One-Way LOCC
- One-Way LOCC Indistinguishable Lattice States via Operator Structures