Qudit Models

Key: QdLH01
Hamiltonian: The 1–dim 12–state Local Hamiltonian H=∑j=1mHj
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=∑j=1mHj
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=∑j=1mHj
Problem: Ground state energy
Complexity: QMA–complete
Ref: [HNN13]
Conditionals:
  • The particles are arranged on a 1–dimensional line