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401 lines
13 KiB
Python
401 lines
13 KiB
Python
import math
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import numpy as np
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from qibo import Circuit, gates, hamiltonians
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from qibo.symbols import Symbol, X, Y, Z
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from qibotn.benchmark_cases import exact_pauli_sum
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from qibotn.backends.vidal import (
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VidalBackend,
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_can_route_non_adjacent,
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_unsupported_reason,
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_operator_terms_to_mpo,
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_symbolic_hamiltonian_to_operator_terms,
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)
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from qibotn.backends.vidal_tebd import (
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VidalTEBDExecutor,
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_route_non_adjacent_gates,
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_gate_sites,
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)
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def build_local_circuit(nqubits=8, nlayers=3, seed=42):
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rng = np.random.default_rng(seed)
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circuit = Circuit(nqubits)
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for layer in range(nlayers):
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for q in range(nqubits):
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circuit.add(gates.RY(q, theta=rng.uniform(-math.pi, math.pi)))
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circuit.add(gates.RZ(q, theta=rng.uniform(-math.pi, math.pi)))
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for q in range(layer % 2, nqubits - 1, 2):
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circuit.add(gates.CNOT(q, q + 1))
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return circuit
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def test_vidal_backend_expectation_matches_statevector():
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circuit = build_local_circuit()
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observable = hamiltonians.SymbolicHamiltonian(
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form=0.5 * X(0) * Z(1) + 0.25 * Y(2) * Y(3) - 0.7 * Z(7)
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)
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exact = observable.expectation_from_state(circuit().state(numpy=True))
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backend = VidalBackend()
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backend.configure_tn_simulation(max_bond_dimension=128, tensor_module="torch")
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value = backend.expectation(circuit, observable)
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np.testing.assert_allclose(value, exact, atol=1e-12)
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def test_vidal_backend_accepts_unlimited_bond_and_no_cutoff():
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circuit = build_local_circuit(nqubits=6, nlayers=2)
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observable = hamiltonians.SymbolicHamiltonian(
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form=0.5 * X(0) * Z(1) - 0.7 * Z(5)
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)
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exact = observable.expectation_from_state(circuit().state(numpy=True))
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backend = VidalBackend()
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backend.configure_tn_simulation(
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max_bond_dimension=None,
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cut_ratio=None,
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tensor_module="torch",
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fallback=False,
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)
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value = backend.expectation(circuit, observable, preprocess=False)
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np.testing.assert_allclose(value, exact, atol=1e-12)
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def test_vidal_backend_fallback_for_non_adjacent_gate():
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"""compile_circuit=False (default) → falls back to qmatchatea for non-adjacent."""
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circuit = Circuit(4)
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circuit.add(gates.H(0))
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circuit.add(gates.CNOT(0, 3))
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observable = hamiltonians.SymbolicHamiltonian(form=Z(0) * Z(3))
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backend = VidalBackend()
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backend.configure_tn_simulation(max_bond_dimension=32, tensor_module="torch")
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value = backend.expectation(circuit, observable)
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exact = observable.expectation_from_state(circuit().state(numpy=True))
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np.testing.assert_allclose(value, exact, atol=1e-12)
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def test_vidal_backend_routes_non_adjacent_with_compile():
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"""Non-adjacent gate with compile_circuit=True goes through Vidal SWAP routing."""
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circuit = Circuit(4)
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circuit.add(gates.H(0))
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circuit.add(gates.CNOT(0, 3))
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observable = hamiltonians.SymbolicHamiltonian(form=Z(0) * Z(3))
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backend = VidalBackend()
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backend.configure_tn_simulation(
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max_bond_dimension=32, tensor_module="torch", compile_circuit=True,
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)
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value = backend.expectation(circuit, observable)
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exact = observable.expectation_from_state(circuit().state(numpy=True))
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np.testing.assert_allclose(value, exact, atol=1e-12)
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def test_can_route_non_adjacent():
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"""_can_route_non_adjacent correctly identifies routable circuits."""
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circuit = Circuit(4)
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circuit.add(gates.H(0))
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circuit.add(gates.CNOT(0, 3))
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assert _can_route_non_adjacent(circuit)
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circuit.add(gates.CNOT(0, 1))
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assert _can_route_non_adjacent(circuit)
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def test_cannot_route_multi_qubit():
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"""Circuits with 3+ qubit gates cannot be routed."""
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circuit = Circuit(3)
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circuit.add(gates.TOFFOLI(0, 1, 2))
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assert not _can_route_non_adjacent(circuit)
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def test_routing_preserves_adjacent_gates():
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"""_route_non_adjacent_gates leaves adjacent gates unchanged."""
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circuit = build_local_circuit(nqubits=4, nlayers=2)
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original = list(circuit.queue)
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routed = _route_non_adjacent_gates(original, 4)
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# Count 2Q gates — should be more due to inserted SWAPs, so just
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# check that all 2-site gates ARE adjacent.
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for gate in routed:
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sites = _gate_sites(gate)
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if len(sites) == 2:
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diff = abs(sites[0] - sites[1])
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assert diff == 1, f"Non-adjacent gate after routing: {gate.name} on {sites}"
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def test_routing_non_adjacent_cnot():
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"""Manually verify SWAP+CNOT+unSWAP for CNOT(0,3)."""
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circuit = Circuit(4)
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circuit.add(gates.H(0))
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circuit.add(gates.H(3))
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circuit.add(gates.CNOT(0, 3))
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routed = _route_non_adjacent_gates(list(circuit.queue), 4)
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# Expected: H(0), H(3), SWAP(2,3), SWAP(1,2), routed CNOT on (0,1), SWAP(1,2), SWAP(2,3)
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names = [getattr(g, "name", g.__class__.__name__) for g in routed]
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assert names == ["h", "h", "swap", "swap", "routed_two_qubit", "swap", "swap"], f"Got {names}"
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# Verify expectation through full pipeline
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observable = hamiltonians.SymbolicHamiltonian(form=Z(0) * Z(3))
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exact = observable.expectation_from_state(circuit().state(numpy=True))
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backend = VidalBackend()
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backend.configure_tn_simulation(
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max_bond_dimension=32, tensor_module="torch", compile_circuit=True,
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)
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value = backend.expectation(circuit, observable)
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np.testing.assert_allclose(value, exact, atol=1e-12)
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def test_routing_preserves_reversed_non_adjacent_gate_order():
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circuit = Circuit(6)
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circuit.add(gates.X(5))
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circuit.add(gates.H(0))
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circuit.add(gates.CNOT(5, 0))
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observable = hamiltonians.SymbolicHamiltonian(form=X(0) + Z(5) + Z(0) * Z(5))
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exact = observable.expectation_from_state(circuit().state(numpy=True))
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backend = VidalBackend()
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backend.configure_tn_simulation(
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max_bond_dimension=64,
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tensor_module="torch",
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compile_circuit=True,
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fallback=False,
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)
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value = backend.expectation(circuit, observable, preprocess=False)
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np.testing.assert_allclose(value, exact, atol=1e-12)
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def test_vidal_backend_preprocesses_non_adjacent_circuit():
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circuit = Circuit(4)
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circuit.add(gates.H(0))
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circuit.add(gates.CNOT(0, 3))
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observable = hamiltonians.SymbolicHamiltonian(form=Z(0) * Z(3))
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exact = observable.expectation_from_state(circuit().state(numpy=True))
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backend = VidalBackend()
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backend.configure_tn_simulation(
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max_bond_dimension=64,
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tensor_module="torch",
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compile_circuit=True,
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fallback=False,
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)
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value = backend.expectation(circuit, observable, preprocess=True)
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np.testing.assert_allclose(value, exact, atol=1e-12)
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def test_vidal_backend_preprocesses_toffoli_locally():
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circuit = Circuit(4)
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circuit.add(gates.H(0))
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circuit.add(gates.H(1))
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circuit.add(gates.TOFFOLI(0, 1, 3))
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observable = hamiltonians.SymbolicHamiltonian(form=Z(0) * Z(3))
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exact = observable.expectation_from_state(circuit().state(numpy=True))
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backend = VidalBackend()
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backend.configure_tn_simulation(
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max_bond_dimension=128,
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tensor_module="torch",
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compile_circuit=True,
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fallback=False,
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)
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value = backend.expectation(circuit, observable, preprocess=True)
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np.testing.assert_allclose(value, exact, atol=1e-12)
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def test_vidal_expectation_preserves_complex_coefficients():
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circuit = Circuit(1)
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observable = hamiltonians.SymbolicHamiltonian(form=(1.0 + 2.0j) * Z(0))
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backend = VidalBackend()
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backend.configure_tn_simulation(
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max_bond_dimension=8,
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tensor_module="torch",
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fallback=False,
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)
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value = backend.expectation(circuit, observable, preprocess=False)
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np.testing.assert_allclose(value, 1.0 + 2.0j, atol=1e-12)
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def test_vidal_expectation_supports_custom_local_symbols():
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circuit = build_local_circuit(nqubits=4, nlayers=2)
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a0 = Symbol(0, np.array([[0.2, 1.0], [1.0, -0.3]], dtype=complex), name="A")
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b2 = Symbol(2, np.array([[0.7, -0.4j], [0.4j, 0.1]], dtype=complex), name="B")
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a3 = Symbol(3, np.array([[0.5, 0.2], [0.2, -0.8]], dtype=complex), name="A")
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observable = hamiltonians.SymbolicHamiltonian(form=0.7 * a0 * b2 - 0.4 * a3)
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exact = observable.expectation_from_state(circuit().state(numpy=True))
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backend = VidalBackend()
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backend.configure_tn_simulation(
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max_bond_dimension=64,
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tensor_module="torch",
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fallback=False,
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)
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value = backend.expectation(circuit, observable, preprocess=False)
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np.testing.assert_allclose(value, exact, atol=1e-12)
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def test_vidal_executor_mpo_expectation_matches_pauli_sum():
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circuit = build_local_circuit(nqubits=4, nlayers=2)
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executor = VidalTEBDExecutor(
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nqubits=circuit.nqubits,
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max_bond=64,
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tensor_module="torch",
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)
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executor.run_circuit(circuit)
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x = np.array([[0, 1], [1, 0]], dtype=complex)
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z = np.array([[1, 0], [0, -1]], dtype=complex)
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i2 = np.eye(2, dtype=complex)
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mpo = [
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x.reshape(1, 2, 2, 1),
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z.reshape(1, 2, 2, 1),
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i2.reshape(1, 2, 2, 1),
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i2.reshape(1, 2, 2, 1),
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]
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mpo_value = executor.expectation_mpo(mpo)
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pauli_value = executor.expectation_pauli_sum([(1.0, (("X", 0), ("Z", 1)))])
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np.testing.assert_allclose(mpo_value, pauli_value, atol=1e-12)
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def test_vidal_backend_accepts_mpo_observable_dict():
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circuit = build_local_circuit(nqubits=4, nlayers=2)
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x = np.array([[0, 1], [1, 0]], dtype=complex)
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z = np.array([[1, 0], [0, -1]], dtype=complex)
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i2 = np.eye(2, dtype=complex)
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mpo = [
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x.reshape(1, 2, 2, 1),
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z.reshape(1, 2, 2, 1),
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i2.reshape(1, 2, 2, 1),
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i2.reshape(1, 2, 2, 1),
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]
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exact = exact_pauli_sum(circuit, [(1.0, (("X", 0), ("Z", 1)))], 4)
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backend = VidalBackend()
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backend.configure_tn_simulation(
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max_bond_dimension=64,
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tensor_module="torch",
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fallback=False,
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)
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value = backend.expectation(circuit, {"mpo_tensors": mpo}, preprocess=False)
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np.testing.assert_allclose(value, exact, atol=1e-12)
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def test_vidal_symbolic_hamiltonian_auto_mpo_matches_operator_sum():
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circuit = build_local_circuit(nqubits=5, nlayers=2)
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observable = hamiltonians.SymbolicHamiltonian(
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form=0.3 * X(0) * Z(1) - 0.2j * Y(2) + 0.7 * Z(3) * X(4)
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)
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executor = VidalTEBDExecutor(
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nqubits=circuit.nqubits,
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max_bond=64,
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tensor_module="torch",
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)
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executor.run_circuit(circuit)
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terms = _symbolic_hamiltonian_to_operator_terms(observable)
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term_value = executor.expectation_operator_sum(terms)
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mpo_value = executor.expectation_mpo(_operator_terms_to_mpo(terms, circuit.nqubits))
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np.testing.assert_allclose(mpo_value, term_value, atol=1e-12)
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def test_vidal_backend_accepts_dense_two_qubit_observable():
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circuit = Circuit(2)
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circuit.add(gates.H(0))
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circuit.add(gates.CNOT(0, 1))
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bell = np.zeros((4, 4), dtype=complex)
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bell[0, 0] = bell[0, 3] = bell[3, 0] = bell[3, 3] = 0.5
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observable = {"matrix": bell, "qubits": [0, 1]}
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backend = VidalBackend()
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backend.configure_tn_simulation(
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max_bond_dimension=16,
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tensor_module="torch",
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fallback=False,
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)
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value = backend.expectation(circuit, observable, preprocess=False)
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np.testing.assert_allclose(value, 1.0, atol=1e-12)
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def test_vidal_backend_dense_observable_preserves_complex_value():
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circuit = Circuit(2)
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circuit.add(gates.H(0))
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circuit.add(gates.H(1))
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op = np.zeros((4, 4), dtype=complex)
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op[0, 3] = 1.0
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observable = {"coefficient": 1.0j, "matrix": op, "qubits": [0, 1]}
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backend = VidalBackend()
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backend.configure_tn_simulation(
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max_bond_dimension=16,
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tensor_module="torch",
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fallback=False,
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)
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value = backend.expectation(circuit, observable, preprocess=False)
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np.testing.assert_allclose(value, 0.25j, atol=1e-12)
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def test_truncation_error_no_truncation():
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"""With large bond, truncation error should be essentially zero."""
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circuit = build_local_circuit(nqubits=6, nlayers=2)
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observable = hamiltonians.SymbolicHamiltonian(form=0.5 * X(0) * Z(1))
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backend = VidalBackend()
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backend.configure_tn_simulation(max_bond_dimension=256, tensor_module="torch")
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value = backend.expectation(circuit, observable)
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_ = value # ensure computation runs
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assert backend.last_truncation_error < 1e-14, (
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f"Expected near-zero truncation error, got {backend.last_truncation_error}"
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)
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assert backend.last_max_truncation_error < 1e-14, (
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"Expected near-zero max truncation error, got "
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f"{backend.last_max_truncation_error}"
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)
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def test_vidal_backend_matches_statevector_multiterm():
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"""Multi-term observable with non-adjacent gates, compile_circuit=True."""
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circuit = Circuit(5)
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for q in range(5):
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circuit.add(gates.RY(q, theta=0.7))
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circuit.add(gates.RZ(q, theta=0.3))
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circuit.add(gates.CNOT(0, 2))
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circuit.add(gates.CNOT(1, 4))
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observable = hamiltonians.SymbolicHamiltonian(
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form=(0.3 * X(0) * Z(2) + 0.7 * Y(1) * Y(4) - 0.5 * Z(0) * X(4))
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)
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exact_state = circuit().state(numpy=True)
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exact = observable.expectation_from_state(exact_state)
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backend = VidalBackend()
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backend.configure_tn_simulation(
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max_bond_dimension=64, tensor_module="torch", compile_circuit=True,
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)
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value = backend.expectation(circuit, observable)
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np.testing.assert_allclose(value, exact, atol=1e-10)
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