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Find link is a tool written by Edward Betts.Longer titles found: Generalizations of Pauli matrices (view)
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Clifford gates
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n-qubit Pauli group, i.e., map tensor products of Pauli matrices to tensor products of Pauli matrices through conjugation. The notion was introduced byTransverse-field Ising model (1,713 words) [view diff] exact match in snippet view article find links to article
{\displaystyle Z_{j}} are representations of elements of the spin algebra (Pauli matrices, in the case of spin 1/2) acting on the spin variables of the correspondingClifford module (492 words) [view diff] exact match in snippet view article find links to article
elements are called Majorana spinors. The four basis vectors are the three Pauli matrices and a fourth antihermitian matrix. The signature is (+++−). For theKondo model (687 words) [view diff] exact match in snippet view article find links to article
at the impurity site ( σ {\displaystyle \mathbf {\sigma } } are the Pauli matrices). In the Kondo problem, J < 0 {\displaystyle J<0} , i.e. the exchangeHaag–Łopuszański–Sohnius theorem (1,423 words) [view diff] exact match in snippet view article find links to article
terms of gamma matrices and the charge conjugation operator rather than Pauli matrices used for the two-component Weyl spinors. The supercharges can also admitZN model (1,047 words) [view diff] exact match in snippet view article find links to article
{\displaystyle X_{j}} and Z j {\displaystyle Z_{j}} are generalisations of the Pauli matrices satisfying Z j X k = e 2 π i N δ j , k X k Z j {\displaystyle Z_{j}X_{k}=e^{{\fracK·p perturbation theory (1,975 words) [view diff] exact match in snippet view article find links to article
_{x},\sigma _{y},\sigma _{z})} is a vector consisting of the three Pauli matrices. This Hamiltonian can be subjected to the same sort of perturbation-theorySpacetime algebra (6,627 words) [view diff] exact match in snippet view article find links to article
{\textstyle (I\sigma _{1},I\sigma _{2},I\sigma _{3})} .: 22 : 37 The Pauli matrices, σ ^ 1 , σ ^ 2 , σ ^ 3 {\textstyle {\hat {\sigma }}_{1},{\hat {\sigmaList of small groups (1,313 words) [view diff] exact match in snippet view article find links to article
× Z2 (3), Z4 (4), Z22 (3), Z2 (7) The Pauli group generated by the Pauli matrices. Nilpotent. 18 44 G181 D18 Z9, D6 (3), Z3, Z2 (9) Dihedral group, Dih9Quantum indeterminacy (2,450 words) [view diff] exact match in snippet view article find links to article
and correspond to spin-measurements along the 3 coordinate axes. The Pauli matrices all have the eigenvalues +1, −1. For σ1, these eigenvalues correspondQuaternion group (3,724 words) [view diff] exact match in snippet view article find links to article
\operatorname {SU} (2)} matrix representation to make contact with the usual Pauli matrices: e ↦ ( 1 0 0 1 ) = 1 2 × 2 i ↦ ( 0 − i − i 0 ) = − i σ x j ↦ ( 0 − 1Tunnel magnetoresistance (3,271 words) [view diff] exact match in snippet view article find links to article
macrospin) is along the unit vector m {\displaystyle \mathbf {m} } and the Pauli matrices properties involving arbitrary classical vectors p , q {\displaystyleDirac equation in curved spacetime (2,309 words) [view diff] exact match in snippet view article find links to article
Lorentz group SO ( 1 , 3 ) {\displaystyle {\text{SO}}(1,3)} , just as the Pauli matrices generate a representation of the rotation algebra s o ( 3 ) {\displaystyleSpin–orbit interaction (4,315 words) [view diff] exact match in snippet view article find links to article
matrix, σ x , y {\displaystyle \sigma _{{\text{x}},{\text{y}}}} the Pauli matrices and m ∗ {\displaystyle m^{*}} the electron effective mass. The spin–orbitChiral model (3,202 words) [view diff] exact match in snippet view article find links to article
{\boldsymbol {\tau }}{2}}\right)}q_{R}\end{cases}}} where τ denote the Pauli matrices in the flavor space and θL, θR are the corresponding rotation anglesMultipolar exchange interaction (3,758 words) [view diff] exact match in snippet view article find links to article
this is not the only super basis that does the trick. We can also use Pauli matrices and the identity matrix to form a super basis A = [ 1 2 3 4 ] = 5 2Quantum computational chemistry (3,351 words) [view diff] exact match in snippet view article find links to article
X_{i}} , Y i {\displaystyle Y_{i}} , and Z i {\displaystyle Z_{i}} are Pauli matrices acting on the i th {\displaystyle i^{\text{th}}} qubit. Electron hopping