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Longer titles found: Generalizations of Pauli matrices (view)

searching for Pauli matrices 21 found (167 total)

Clifford gates (950 words) [view diff] exact match in snippet view article find links to article

n-qubit Pauli group, i.e., map tensor products of Pauli matrices to tensor products of Pauli matrices through conjugation. The notion was introduced by

Transverse-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 corresponding

Clifford 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 the

Kondo 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 exchange

Haag–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 admit

ZN 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^{{\frac

K·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-theory

List 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, Dih9

Spacetime algebra (7,325 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 {\sigma

Quantum 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 correspond

QuTiP (935 words) [view diff] exact match in snippet view article find links to article

-2.j 1.+0.j]] >>> qutip.sigmay() # some common quantum objects, like pauli matrices, are predefined in the qutip package Quantum object: dims = [[2], [2]]

Skyrmion (3,176 words) [view diff] exact match in snippet view article find links to article

{\vec {\theta }}} , τ → {\displaystyle {\vec {\tau }}} are the isospin Pauli matrices, [ ⋅ , ⋅ ] {\displaystyle [\cdot ,\cdot ]} is the Lie bracket commutator

Bogomol'nyi–Prasad–Sommerfield bound (2,633 words) [view diff] exact match in snippet view article find links to article

\beta }Z^{IJ}+\dots } where σ μ {\displaystyle \sigma ^{\mu }} are the Pauli matrices (or their higher-dimensional generalizations), P μ {\displaystyle P_{\mu

Quaternion group (3,716 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 − 1

Tunnel 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 {\displaystyle

Dirac 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 ) {\displaystyle

Chiral model (3,249 words) [view diff] exact match in snippet view article find links to article

{1}{2}}{\boldsymbol {\tau }}\right)}q_{\mathsf {R}}\end{cases}}} where τ denote the Pauli matrices in the flavor space and θL , θR are the corresponding rotation angles

Spin–orbit interaction (4,408 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–orbit

Multipolar 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 2

Quantum 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

Complex quaternion functions (3,998 words) [view diff] exact match in snippet view article find links to article

the same. A Minkowski quaternion can be represented in terms of the Pauli matrices as X = c t + i x I + i y J + i z K {\displaystyle {\textbf {X}}=c\,t\