Local clifford group
Witryna26 cze 2006 · These results are derived from a general theoretical framework that allows one to study interconversion of multipartite stabilizer states by local Clifford group operators. As a simple application, we study three-party entanglement in two-dimensional lattice models that can be exactly solved by the stabilizer formalism. Witryna6 mar 2024 · Final remark: We can also replace Nebe's argument on the maximal finiteness of the Clifford group ("Fact 3") with the classification of finite unitary group designs [Bannai et al. "Unitary t-groups"] which implies that any finite unitary 2-group that contains the Clifford group, has to be the Clifford group (up to its centre). …
Local clifford group
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Witryna24 paź 2024 · The term Clifford group was introduced in 1998 by D. Gottesmann in his investigation of quantum error-correcting codes. The simplest Clifford group in … Witryna1 lut 2005 · OSTI.GOV. Journal Article: Invariants of the local Clifford groupInvariants of the local Clifford group
WitrynaSearching Over Pauli Group Elements¶. QuaEC provides useful tools for searching over elements of the Pauli group. A few particlar searches are provided built-in, while other searches can be efficiently built using the predicates described in Predicates and Filters.. qecc.is_in_normalizer(pauli, stab)¶ Given an element pauli of a Pauli group and the … WitrynaNot only does such an approach reveal new information about the Clifford and Local Clifford groups, but it also shows how many previously derived results arise naturally …
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Witryna25 paź 2024 · M. Van den Nest, J. Dehaene, and B. De Moor, "Graphical description of the action of local Clifford transformations on graph states.", Phys. Rev. A 69, 022316 (2004). ... "Graph states under the action of local Clifford group in non-binary case.", arXiv:quant-ph/ 0610267 (2006). arXiv:quant-ph/0610267 mazda dual kherr clef wi fiWitryna16 lut 2005 · We study the algebra of complex polynomials which remain invariant under the action of the local Clifford group under conjugation. Within this algebra, we … mazda diff bearing installWitryna14 lip 2024 · Definition of the Pauli group and the Clifford group. There seem to be two definitions of the Pauli group. In Nielsen and Chuang, the Pauli group on 1 qubit is … mazda diagnostic and repair software saudiWitryna34 min temu · Cliff Grassmick is a photographer for the Boulder Daily Camera, Longmont Times-Call and Broomfiled Enterprise. [email protected]. Follow Cliff Grassmick @cliffpix. Boulder Events ... mazda direct injection carbon buildupWitryna17 wrz 2014 · The local Clifford group on n qubits, , consists of all n-fold tensor products of single-qubit Clifford operators. The Clifford group contains all unitary operators that map stabilizer states to stabilizer states. To generate all linear operators which do the same, we must also allow measurements whose results are stabilizer … mazda driveaway insurance dealer loginWitrynaNot only does such an approach reveal new information about the Clifford and Local Clifford groups, but it also shows how many previously derived results arise naturally as simple corollaries. Lastly, we give a systematic method of building an arbitrary Local Clifford operator from a small number of previously known gates, as well as a method ... mazda drive togetherWitrynaAs already mentioned, in quantum information the term Clifford group means the group of symmetries of the Weyl-Heisenberg group in the following sense [10, 11]: Definition The Clifford group comprises all unitary operators X ∈ U(N) for which the Ad-action preserves the subgroup H(N) in U(N), i.e. the Clifford group is the normalizer N U(N ... mazda difference between sport and touring