Zq

N(Pa)

SQ*(S2)

PiPs

l dq

SQ(h)

SQ(S2)

N(PP)

Appropriate linear combinations of the four matrices above can generate the pure ZQ and DQ matrices:

^IA + 21-yS-y ) 1(2IXSX — 21-yS-y) ^ (2Iy S^ — 2IXSy ) J (2Iy SX + 2IX Sy ) {ZQ}x jDQlx {ZQ}y {DQ}y

The density matrix representation is actually simpler than the product operator formalism for dealing with zero and multiple quantum coherences. Note that the type of multiple quantum coherence can be "read" from the lower left elements of the "antidiagonal."

The final two product operators are the longitudinal spin order operator (2IZSZ) and the identity operator (1):

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