1. TESTING EQUIVALENCE OF PURE QUANTUM STATES AND GRAPH STATES UNDER SLOCC.
- Author
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D'SOUZA, ADAM G., BRIËT, JOP, and FEDER, DAVID L.
- Subjects
- *
STOCHASTIC processes , *ALGORITHMS , *QUANTUM communication , *MATHEMATICAL transformations , *OPERATOR algebras - 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 graph states 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 |ψ〉 = S|g〉 for an unknown invertible local operator S, as it usually allows for easy detection of states that are not SLOCC-equivalent to graph states. [ABSTRACT FROM AUTHOR]
- Published
- 2010
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