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quant-phAug 14, 2013
12
citations (OpenAlex)
authors
  • Lin Chen
  • Dragomir Z. Djokovic
institutions
  • University of Waterloo
arXiv abstractPDF
paper

Proof of the Gour-Wallach conjecture

arXiv:1308.1306 · doi:10.1103/PhysRevA.88.042307

Abstract

The absolute value of the hyperdeterminant of four qubits is a useful measure of genuine entanglement. We prove a recent conjecture of Gour and Wallach describing the pure maximally entangled four-qubit states with respect to this measure.

6 pages, minor revision

References in corpus (9)

  • Constructing N-qubit entanglement monotones from anti-linear operators
  • Remote preparation of quantum states
  • The maximally entangled symmetric state in terms of the geometric measure
  • All Maximally Entangled Four Qubits States
  • Exploring pure quantum states with maximally mixed reductions
  • On polynomial invariants of several qubits
  • Geometric measure of entanglement for pure multipartite states
  • Additivity and non-additivity of multipartite entanglement measures
  • Normal Forms and Tensor Ranks of Pure States of Four Qubits

Cited by in corpus (7)

  • Quantifying entanglement resources
  • Genuinely multipartite entangled states and orthogonal arrays
  • Embedding qubits into fermionic Fock space, peculiarities of the four-qubit case
  • Learning Algebraic Models of Quantum Entanglement
  • Quantum circuits of CNOT gates
  • Four-qubit critical states
  • Maximally entangled real states and SLOCC invariants: the 3-qutrit case
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