Managing the Three-Party Entanglement Challenge
arXiv:2207.05170 · doi:10.1080/00107514.2022.2104425
Abstract
We introduce the challenges of multi-party quantum entanglement and explain a recent success in learning to take its measure. Given the widely accepted reputation of entanglement as a counter-intuitive feature of quantum theory, we first describe pure-state entanglement itself. We restrict attention to multi-party qubit states. Then we introduce the features that have made it challenging for several decades to extend an entanglement measure beyond the 2-qubit case of Bell states. We finish with a description of the current understanding that solves the 3-qubit entanglement challenge. This necessarily takes into account the fundamental division of the 3-qubit state space into two completely independent sectors identified with the so-called GHZ and states.
arXiv comment16 pages and 3 figures
References in corpus (30)
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Experimental quantum teleportation
- Mixed State Entanglement and Quantum Error Correction
- A computable measure of entanglement
- Three qubits can be entangled in two inequivalent ways
- Entanglement of a Pair of Quantum Bits
- Distributed Entanglement
- Quantum Teleportation is a Universal Computational Primitive
- Finite-Time Disentanglement via Spontaneous Emission
- Quantum Resource Theories
- Quantum Nonlocality without Entanglement
- Sudden Death of Entanglement
- Multi-party entanglement in graph states
- Geometric measure of entanglement and applications to bipartite and multipartite quantum states
- Global entanglement in multiparticle systems
- Decoherence and multipartite entanglement
- Taming multiparticle entanglement
- Measure of genuine multipartite entanglement with computable lower bounds
- Classification of multipartite entangled states by multidimensional determinants
- The Schmidt Measure as a Tool for Quantifying Multi-Particle Entanglement
- Monotones and invariants for multi-particle quantum states
- Constructing N-qubit entanglement monotones from anti-linear operators
- Genuinely Multipartite Concurrence of N-qubit X-matrices
- A Triangle Governs Genuine Tripartite Entanglement
- Bounds on relative entropy of entanglement for multi-party systems
- Generalized Monogamy Relations of Concurrence for N-qubit Systems
- Entanglement Polygon Inequality in Qubit Systems
- Quantification and observation of genuine three-party coherence: A solution based on classical optics
- Sudden Freezing and Thawing of Entanglement Sharing in a Shrunken Volume
- Revisiting comparison between entanglement measures for two-qubit pure states