Classification of mixed three-qubit states
TLDR
A classification of mixed three-qubit states is introduced, in which the classes of separable, biseparable, W, and Greenberger-Horne-Zeilinger states are successively embedded into each other.Abstract:
We introduce a classification of mixed three-qubit states, in which we define the classes of separable, biseparable, $W$, and Greenberger-Horne-Zeilinger states. These classes are successively embedded into each other. We show that contrary to pure $W$-type states, the mixed $W$ class is not of measure zero. We construct witness operators that detect the class of a mixed state. We discuss the conjecture that all entangled states with positive partial transpose (PPTES) belong to the $W$ class. Finally, we present a new family of PPTES ``edge'' states with maximal ranks.read more
Citations
More filters
Journal ArticleDOI
Quantum entanglement
TL;DR: In this article, the basic aspects of entanglement including its characterization, detection, distillation, and quantification are discussed, and a basic role of entonglement in quantum communication within distant labs paradigm is discussed.
Journal ArticleDOI
Entanglement in many-body systems
TL;DR: In this article, the properties of entanglement in many-body systems are reviewed and both bipartite and multipartite entanglements are considered, and the zero and finite temperature properties of entangled states in interacting spin, fermion and boson model systems are discussed.
Journal ArticleDOI
Entanglement detection
Otfried Gühne,Géza Tóth +1 more
TL;DR: In this article, the basic elements of entanglement theory for two or more particles and verification procedures, such as Bell inequalities, entangle witnesses, and spin squeezing inequalities, are discussed.
Journal ArticleDOI
Geometric measure of entanglement and applications to bipartite and multipartite quantum states
Tzu-Chieh Wei,Paul M. Goldbart +1 more
TL;DR: In this article, the degree to which a pure quantum state is entangled can be characterized by the distance or angle to the nearest unentangled state, where the distance is defined as the distance from the point of view of the nearest neighbor.
Journal ArticleDOI
Preparation and measurement of three-qubit entanglement in a superconducting circuit
Leonardo DiCarlo,Matthew Reed,Luyan Sun,Blake R. Johnson,Jerry M. Chow,Jay M. Gambetta,Luigi Frunzio,Steven Girvin,Michel Devoret,Robert Schoelkopf +9 more
TL;DR: Deterministic production of three-qubit Greenberger–Horne–Zeilinger (GHZ) states with fidelity of 88 per cent is demonstrated, demonstrating the first step of basic quantum error correction, namely the encoding of a logical qubit into a manifold of GHZ-like states using a repetition code.
References
More filters
BookDOI
Bell's theorem, quantum theory and conceptions of the universe
TL;DR: On a theory of the Collapse of the Wave Function, Stapp as discussed by the authors proposed a new characteristic of a quantum system between two measurements -a "Weak Value", which is defined as the difference between two values of the same value.