qml.ops.op_math

This module contains classes and functions for Operator arithmetic.

Constructor Functions

adjoint(fn[, lazy])	Create the adjoint of an Operator or a function that applies the adjoint of the provided function.
ctrl(op, control[, control_values, work_wires])	Create a method that applies a controlled version of the provided op.
cond(condition[, true_fn, false_fn, elifs])	Quantum-compatible if-else conditionals --- condition quantum operations on parameters such as the results of mid-circuit qubit measurements.
exp(op[, coeff, num_steps, id])	Take the exponential of an Operator times a coefficient.
sum(*summands[, grouping_type, method, id, lazy])	Construct an operator which is the sum of the given operators.
pow(base[, z, lazy, id])	Raise an Operator to a power.
prod(*ops[, id, lazy])	Construct an operator which represents the generalized product of the operators provided.
s_prod(scalar, operator[, lazy, id])	Construct an operator which is the scalar product of the given scalar and operator provided.

Symbolic Classes

Adjoint([base, id])	The Adjoint of an operator.
CompositeOp(*operands[, id, _pauli_rep])	A base class for operators that are composed of other operators.
Conditional(expr, then_op[, id])	A Conditional Operation.
Controlled(base, control_wires[, ...])	Symbolic operator denoting a controlled operator.
ControlledOp(base, control_wires[, ...])	Operation-specific methods and properties for the Controlled class.
Evolution(generator[, param, num_steps, id])	Create an exponential operator that defines a generator, of the form \(e^{-ix\hat{G}}\)
Exp(base[, coeff, num_steps, id])	A symbolic operator representing the exponential of a operator.
LinearCombination(coeffs, observables[, ...])	Operator representing a linear combination of operators.
Pow([base, z, id])	Symbolic operator denoting an operator raised to a power.
Prod(*operands[, id, _pauli_rep])	Symbolic operator representing the product of operators.
Sum(*operands[, grouping_type, method, id, ...])	Symbolic operator representing the sum of operators.
SProd(scalar, base[, id, _pauli_rep])	Arithmetic operator representing the scalar product of an operator with the given scalar.
SymbolicOp(base[, id])	Developer-facing base class for single-operator symbolic operators.
ScalarSymbolicOp(base, scalar[, id])	Developer-facing base class for single-operator symbolic operators that contain a scalar coefficient.

Controlled Operator Classes

ControlledQubitUnitary(U, wires)	Apply an arbitrary fixed unitary matrix U to wires.
CY(wires)	The controlled-Y operator
CZ(wires)	The controlled-Z operator
CH(wires)	The controlled-Hadamard operator
CCZ(wires)	CCZ (controlled-controlled-Z) gate.
CSWAP(wires)	The controlled-swap operator
CNOT(wires)	The controlled-NOT operator
Toffoli(wires)	Toffoli (controlled-controlled-X) gate.
MultiControlledX([wires, control_values, ...])	Apply a PauliX gate controlled on an arbitrary computational basis state.
CRX(phi, wires[, id])	The controlled-RX operator
CRY(phi, wires[, id])	The controlled-RY operator
CRZ(phi, wires[, id])	The controlled-RZ operator
CRot(phi, theta, omega, wires[, id])	The controlled-Rot operator
ControlledPhaseShift(phi, wires[, id])	A qubit controlled phase shift.

Decompositions

one_qubit_decomposition(U, wire[, ...])	Decompose a one-qubit unitary \(U\) in terms of elementary operations.
two_qubit_decomposition(U, wires)	Decompose a two-qubit unitary \(U\) in terms of elementary operations.
sk_decomposition(op, epsilon, *[, ...])	Approximate an arbitrary single-qubit gate in the Clifford+T basis using the Solovay-Kitaev algorithm.

Control Decompositions

ctrl_decomp_zyz(target_operation, control_wires)	Decompose the controlled version of a target single-qubit operation
ctrl_decomp_bisect(target_operation, ...)	Decompose the controlled version of a target single-qubit operation

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