Constants Reference

PAULI_X

Sparse Pauli X (σₓ) matrix: [[0, 1], [1, 0]]

The bit-flip operator. Exchanges |0⟩ ↔ |1⟩.

PAULI_Y

Sparse Pauli Y (σᵧ) matrix: [[0, -i], [i, 0]]

The phase-flip and bit-flip operator.

PAULI_Z

Sparse Pauli Z (σᵧ) matrix: [[1, 0], [0, -1]]

The phase-flip operator. Maps |0⟩ → |0⟩, |1⟩ → -|1⟩.

RAISE

Sparse raising (creation) operator: [[0, 1], [0, 0]]

Maps |0⟩ → |1⟩, |1⟩ → 0. Also called σ₊ or a†.

LOWER

Sparse lowering (annihilation) operator: [[0, 0], [1, 0]]

Maps |1⟩ → |0⟩, |0⟩ → 0. Also called σ₋ or a.

OCC_PART

Sparse occupation number operator for particles: [[1, 0], [0, 0]]

Projects onto the occupied state |1⟩.

OCC_HOLE

Sparse occupation number operator for holes: [[0, 0], [0, 1]]

Projects onto the empty state |0⟩.