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Optimize1qGates

Optimize1qGates(*args, **kwargs) GitHub(opens in a new tab)

Optimize chains of single-qubit u1, u2, u3 gates by combining them into a single gate.

Optimize1qGates initializer.

Parameters

basis (list[str]) – Basis gates to consider, e.g. [‘u3’, ‘cx’]. For the effects of this pass, the basis is the set intersection between the basis parameter and the set {‘u1’,’u2’,’u3’}.


Attributes

is_analysis_pass

Check if the pass is an analysis pass.

If the pass is an AnalysisPass, that means that the pass can analyze the DAG and write the results of that analysis in the property set. Modifications on the DAG are not allowed by this kind of pass.

is_transformation_pass

Check if the pass is a transformation pass.

If the pass is a TransformationPass, that means that the pass can manipulate the DAG, but cannot modify the property set (but it can be read).


Methods

compose_u3

static Optimize1qGates.compose_u3(theta1, phi1, lambda1, theta2, phi2, lambda2)

Return a triple theta, phi, lambda for the product.

u3(theta, phi, lambda)

= u3(theta1, phi1, lambda1).u3(theta2, phi2, lambda2) = Rz(phi1).Ry(theta1).Rz(lambda1+phi2).Ry(theta2).Rz(lambda2) = Rz(phi1).Rz(phi’).Ry(theta’).Rz(lambda’).Rz(lambda2) = u3(theta’, phi1 + phi’, lambda2 + lambda’)

Return theta, phi, lambda.

name

Optimize1qGates.name()

Return the name of the pass.

run

Optimize1qGates.run(dag)

Run the Optimize1qGates pass on dag.

Parameters

dag (DAGCircuit) – the DAG to be optimized.

Returns

the optimized DAG.

Return type

DAGCircuit

Raises

TranspilerError – if YZY and ZYZ angles do not give same rotation matrix.

yzy_to_zyz

static Optimize1qGates.yzy_to_zyz(xi, theta1, theta2, eps=1e-09)

Express a Y.Z.Y single qubit gate as a Z.Y.Z gate.

Solve the equation

Ry(theta1).Rz(xi).Ry(theta2) = Rz(phi).Ry(theta).Rz(lambda)

for theta, phi, and lambda.

Return a solution theta, phi, and lambda.

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