## Qudit Models

Key: QdLH01

**Hamiltonian:**The $1$–dim $12$–state Local Hamiltonian $$ H = \displaystyle\sum_{j=1}^m H_j $$

**Problem:**Ground state energy

**Complexity:**QMA–complete

**Ref:**[AGIK09]

**Conditionals:**

- The particles are arranged on a $1$–dimensional line

**Reductions:**

- To an $8$–local Hamiltonian on a $1$–dimensional line

Key: QdLH02

**Hamiltonian:**The $1$–dim $11$–state Local Hamiltonian $$ H = \displaystyle\sum_{j=1}^m H_j $$

**Problem:**Ground state energy

**Complexity:**QMA–complete

**Ref:**[Nag08]

**Conditionals:**

- The particles are arranged on a $1$–dimensional line

Key: QdLH03

**Hamiltonian:**The $1$–dim $8$–state Local Hamiltonian $$ H = \displaystyle\sum_{j=1}^m H_j $$

**Problem:**Ground state energy

**Complexity:**QMA–complete

**Ref:**[HNN13]

**Conditionals:**

- The particles are arranged on a $1$–dimensional line