Disentangling theorem and monogamy for entanglement negativity

2014/01/24 by Huan He, Guifre Vidal, Guifré Vidal · 83 citations
Computer Science · Physics and Astronomy · Psychology · #Negativity effect #Opinion Dynamics and Social Influence #Physics #Psychology #Quantum #Quantum Computing Algorithms and Architecture #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Statistical physics #Theoretical physics #quant-ph

paper · pdf · doi:10.1103/physreva.91.012339

published in Physical Review A 91(1) (American Physical Society) · 6 pages, 2 figures

arxiv created 2014/01/24 · openalex publication_date 2015/01/28 · arxiv updated 2015/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Entanglement negativity is a measure of mixed-state entanglement increasingly used to investigate and characterize emerging quantum many-body phenomena, including quantum criticality and topological order. We present two results for the entanglement negativity: a disentangling theorem, which allows the use of this entanglement measure as a means to detect whether a wave function of three subsystems A,\phantom\rule0.28em0exB, and C factorizes into a product state for parts AB₁ and B₂C; and a monogamy relation conjecture based on entanglement negativity, which states that if A is very entangled with B, then A cannot be simultaneously very entangled also with C.

Citations

• Tensor-entanglement renormalization group approach as a unified method for symmetry breaking and topological phase transitions
• Entanglement Negativity in Quantum Field Theory
• Logarithmic Negativity: A Full Entanglement Monotone That is not Convex
• Negativity and topological order in the toric code
• Entanglement of Formation of an Arbitrary State of Two Qubits
• Detecting Topological Order in a Ground State Wave Function
• Ground state entanglement and geometric entropy in the Kitaev model
• Bipartite entanglement and entropic boundary law in lattice spin systems
• Structure of States Which Satisfy Strong Subadditivity of Quantum Entropy with Equality
• Entanglement of a Pair of Quantum Bits
• Distributed Entanglement

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