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- Centre National de la Recherche ScientifiqueFR34 papers
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27 papers · 1 filter
Local qubit invariants on quantum computer
Szilárd Szalay, Frédéric Holweck
We present two general methods to implement quantum circuits for the direct measuring of local unitary invariants on quantum computers. We work these out for important three-qubit…
Four-qubit critical states
Luke Oeding, Ian Tan
Verstraete, Dehaene, and De Moor (2003) showed that SLOCC invariants provide entanglement monotones. We observe that many highly entangled or useful four-qubit states that appear i…
Quantum error correction below the surface code threshold
Rajeev Acharya, Laleh Aghababaie-Beni, Igor Aleiner +246
Quantum error correction provides a path to reach practical quantum computing by combining multiple physical qubits into a logical qubit, where the logical error rate is suppressed…
A new heuristic approach for contextuality degree estimates and its four- to six-qubit portrayals
Axel Muller, Metod Saniga, Alain Giorgetti +2
We introduce and describe a new heuristic method for finding an upper bound on the degree of contextuality and the corresponding unsatisfied part of a quantum contextual configurat…
Tensor decompositions with applications to LU and SLOCC equivalence of multipartite pure states
Luke Oeding, Ian Tan
We introduce a broad lemma, one consequence of which is the higher order singular value decomposition (HOSVD) of tensors defined by DeLathauwer, DeMoor and Vandewalle (2000). By an…
Hexagons govern three-qubit contextuality
Metod Saniga, Frédéric Holweck, Colm Kelleher +3
Split Cayley hexagons of order two are distinguished finite geometries living in the three-qubit symplectic polar space in two different forms, called classical and skew. Although…