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arXiv · 0911.4517

Testing equivalence of pure quantum states and graph states under SLOCC

Adam G. D'Souza·Jop Briët·David L. Feder
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Abstract

A set of necessary and sufficient conditions are derived for the equivalence of an arbitrary pure state and a graph state on n qubits under stochastic local operations and classical communication (SLOCC), using the stabilizer formalism. Because all stabilizer states are equivalent to a graph state by local unitary transformations, these conditions constitute a classical algorithm for the determination of SLOCC-equivalence of pure states and stabilizer states. This algorithm provides a distinct advantage over the direct solution of the SLOCC-equivalence condition for an unknown invertible local operator S, as it usually allows for easy detection of states that are not SLOCC-equivalent to graph states.

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Adam G. D'Souza, Jop Briët, David L. Feder. 2010-03-08. Testing equivalence of pure quantum states and graph states under SLOCC. https://doi.org/10.1142/s0219749910006368

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