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- Title
ℓ1-norm in three-qubit quantum entanglement constrained by Yang–Baxter equation.
- Authors
Yu, Li-Wei; Ge, Mo-Lin
- Abstract
In this paper, we show the important roles of ℓ 1 -norm in Yang–Baxter quantum system in connection with both the braid matrix and quantum entanglements., Concretely, we choose the two-body and three-body S-matrices, which are constrained by Yang–Baxter equation. Previously, it was shown that for two-body case, the extreme values of ℓ 1 -norm led to two types of braid matrices and two-qubit Bell states. Here, we show that for the three-body case, due to the constraint of Yang–Baxter equation, the extreme values of ℓ 1 -norm lead to both three-qubit | G H Z ⟩ (local maximum) and | W ⟩ (local minimum) states, which cover all three-qubit genuine entanglements for pure states under stochastic local operation and classical communication. This is a more convincing signature for the roles of ℓ 1 -norm in quantum entanglement associated with Yang–Baxter equation.
- Subjects
YANG-Baxter equation; QUANTUM entanglement; EXTREME value theory; QUBITS
- Publication
Quantum Information Processing, 2020, Vol 19, Issue 3, p1
- ISSN
1570-0755
- Publication type
Article
- DOI
10.1007/s11128-020-2576-z