Local Unitary Invariants for N-qubit Pure State

Abstract

We obtain local unitary invariant polynomials for N qubit quantum state from first principles. A basic unit of entanglement, referred to as negativity font, is defined as a two by two matrix of probability amplitudes that determines the negative eigen value of a four by four submatrix of partially transposed state operator. Transformation properties of determinants of negativity fonts under local unitary (LU) transformations are exploited to obtain multi qubit invariants written in terms of such determinants.

07 pages, No figures, Five qubit tangle coorrected, Additions to intro and references

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Cited by in corpus (10)

• Multipartite-entanglement monotones and polynomial invariants
• Classification of Multipartite Entanglement via Negativity Fonts
• Unitary Invariants and Classification of Four-Qubit States via Negativity Fonts
• The criterion for maximally entangled four-qubit state
• Negativity Fonts, multiqubit invariants and Four qubit Maximally Entangled States
• Sequential generation of Polynomial Invariants and N-body non-local correlations
• On Monogamy of four qubit entanglement
• Qubits as Hypermatrices and Entanglement
• Monogamy constraints on entanglement of four-qubit pure states
• Special core tensors of multi-qubit states and the concurrency of three lines