Non-LocalityQuantum Entanglement
arXiv:2109.03871 · doi:10.1088/1742-5468/ac9bf0
Abstract
The unique entanglement measure is concurrence in a 2-qubit pure state. The maximum violation of Bell's inequality is monotonically increasing for this quantity. Therefore, people expect that pure state entanglement is relevant to the non-locality. For justification, we extend the study to three qubits. We consider all possible 3-qubit operators with a symmetric permutation. When only considering one entanglement measure, the numerical result contradicts expectation. Therefore, we conclude ``Non-LocalityQuantum Entanglement''. We propose the generalized -matrix or correlation matrix for the new diagnosis of Quantum Entanglement. We then demonstrate the evidence by restoring the monotonically increasing result.
arXiv comment38 pages, 10 figures, minor changes, reference added
References in corpus (19)
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Mixed State Entanglement and Quantum Error Correction
- Three qubits can be entangled in two inequivalent ways
- Experimental loophole-free violation of a Bell inequality using entangled electron spins separated by 1.3 km
- Distributed Entanglement
- Generalized Schmidt decomposition and classification of three-quantum-bit states
- Experimental verification of a fully inseparable tripartite continuous-variable state
- Entanglement versus Bell violations and their behaviour under local filtering operations
- Higher order Schmidt decompositions
- On-demand photonic entanglement synthesizer
- Convexity of momentum map, Morse index, and quantum entanglement
- Critical sets of the total variance of state detect all SLOCC entanglement classes
- When is a pure state of three qubits determined by its single-particle reduced density matrices?
- Asymptotic properties of entanglement polytopes for large number of qubits
- How many invariant polynomials are needed to decide local unitary equivalence of qubit states?
- Parity Anomaly and Duality Web
- Geometry of the local equivalence of states
- Bell's Inequality and Entanglement in Qubits
- Tripartite Entanglement and Quantum Correlation