Quantum coherence and entanglement are two key features in quantum mechanics and play important roles in quantum information processing and quantum computation. We provide a general triangle-like inequality satisfied by the l1-norm measure of coherence for convex combination of arbitrary n pure states of a quantum state ρ. Furthermore, we present triangle-like inequality for the convex-roof extended negativity for any states of rank 2, which gives a positive answer to a conjecture raised in Dai et al. (Phys. Rev. A 96:062308, 2017). Detailed examples are given to illustrate the relations characterized by the triangle-like inequalities.
CITATION STYLE
Jin, Z. X., Li-Jost, X., & Fei, S. M. (2019). Triangle-like inequalities related to coherence and entanglement negativity. Quantum Information Processing, 18(1). https://doi.org/10.1007/s11128-018-2121-5
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