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arxiv: 1608.01354 · v2 · pith:YFW6YNBEnew · submitted 2016-08-03 · 🧮 math.RA · math-ph· math.MP· quant-ph

Geometric measure of entanglement of symmetric d-qubits is polynomial-time computable

classification 🧮 math.RA math-phmath.MPquant-ph
keywords symmetriccomplexcomputabled-moded-qubitsentanglementgeometricmeasure
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We give a simple formula for finding the spectral norm of d-mode symmetric tensor in two variables over the complex or real numbers in terms of the complex or real roots of a corresponding polynomial in one complex variable. This result implies that the geometric measure of entanglement of symmetric d-qubits is polynomial-time computable. We discuss a generalization to d-mode symmetric tensor in more than two variables.

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