PairHopSum

Overloads

Name	Description
PairHopSum(const ComplexTensor tensor) -> ComplexOperator4DTensor	Returns a generalized pair hopping tensor operator $\sum_{i,j,k,l} V_{ijkl} a_{i}^\dagger a_{j}^\dagger a_{k} a_{l}$.
PairHopSum(const RealTensor tensor) -> RealOperator4DTensor	Returns a generalized pair hopping tensor operator $\sum_{i,j,k,l} V_{ijkl} a_{i}^\dagger a_{j}^\dagger a_{k} a_{l}$.

PairHopSum(const ComplexTensor tensor) -> ComplexOperator4DTensor

Returns a generalized pair hopping tensor operator $\sum_{i,j,k,l} V_{ijkl} a_{i}^\dagger a_{j}^\dagger a_{k} a_{l}$.

The operator is parametrized by a 4-rank tensor $V_{ijkl}$ with $L^4$ elements. It acts directly according to the provided index positions, mapping exactly 1-to-1 with the underlying $L$ qubit sites.

Note the difference to CoulombSum: PairHopSum does not make any assumptions about interleaved spin mappings. The operator natively preserves particle number.

Parameters

• tensor: The 4-rank tensor $V_{ijkl}$ representing the interaction.

PairHopSum(const RealTensor tensor) -> RealOperator4DTensor

Returns a generalized pair hopping tensor operator $\sum_{i,j,k,l} V_{ijkl} a_{i}^\dagger a_{j}^\dagger a_{k} a_{l}$.

The operator is parametrized by a 4-rank tensor $V_{ijkl}$ with $L^4$ elements. It acts directly according to the provided index positions, mapping exactly 1-to-1 with the underlying $L$ qubit sites.

Note the difference to CoulombSum: PairHopSum does not make any assumptions about interleaved spin mappings. The operator natively preserves particle number.

Parameters

• tensor: The 4-rank tensor $V_{ijkl}$ representing the interaction.