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Cli ord group - LU

clifford groupMaris OzolsJuly 31, 2008 AbstractThis is a survey on the clifford group onnqubits. I will discuss its properties andapplications in quantum Pauli matricesThePauli matriceson a single qubit areI=(1 00 1),X=(0 11 0),Y=(0 ii0),Z=(1 00 1). Onnqubits the set of Pauli matrices isPn={ 1 n| i {I,X,Y,Z}},|Pn|= 4n. ThegroupPn/U(1) is isomorphic to a vector space overF2with dimension 2nvia identification:ZY| |IX (0,1)(1,1)| |(0,0)(1,0)(1)where the multiplication of matrices corresponds to the addition of clifford DefinitionTo define the clifford group , we do not have to turn the Pauli matrices into a group .

Cli ord group Maris Ozols July 31, 2008 Abstract This is a survey on the Cli ord group on nqubits. I will discuss its properties and applications in quantum computing. 1 Pauli matrices ... Clifford group Author: Maris Ozols Created Date: 8/30/2008 8:50:19 PM ...

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