Separability criteria with angular and Hilbert space averages

• Main Authors: Fujikawa, Kazuo, Oh, Choo Hiap, Umetsu, Koichiro, Yu, Sixia
• Other Authors: Institute of Advanced Studies
• Format: Article
• Language: English
• Published: 2017
• Subjects: Separability; Entanglement
• Online Access: https://hdl.handle.net/10356/80717; http://hdl.handle.net/10220/43432
• Institution: Nanyang Technological University

The practically useful criteria of separable states ρ=∑k wkρk in d=2×2 are discussed. The equality G(a,b)=4[〈ψ|P(a)⊗P(b)|ψ〉−〈ψ|P(a)⊗1|ψ〉〈ψ|1⊗P(b)|ψ〉]=0 for any two projection operators P(a) and P(b) provides a necessary and sufficient separability criterion in the case of a separable pure state ρ=|ψ...