z itSrSSKrSSKJr "SS\5r"SS\5r"SS \5r"S S \5rg) zGlobal R gates.N)QuantumCircuitc@^\rSrSrSrS\S\S\SS4U4SjjrS rU=r $) GRuGlobal R gate. Circuit symbol: .. code-block:: text ┌──────────┐ q_0: ┤0 ├ │ │ q_1: ┤1 GR(ϴ,φ) ├ │ │ q_2: ┤2 ├ └──────────┘ The global R gate is native to atomic systems (ion traps, cold neutrals). The global R can be applied to multiple qubits simultaneously. In the one-qubit case, this is equivalent to an R(theta, phi) operation, and is thus reduced to the RGate. The global R gate is a direct sum of R operations on all individual qubits. .. math:: GR(\theta, \phi) = \exp(-i \sum_{i=1}^{n} (\cos(\phi)X_i + \sin(\phi)Y_i) \theta/2) Expanded Circuit: .. plot:: :alt: Diagram illustrating the previously described circuit. from qiskit.circuit.library import GR from qiskit.visualization.library import _generate_circuit_library_visualization import numpy as np circuit = GR(num_qubits=3, theta=np.pi/4, phi=np.pi/2) _generate_circuit_library_visualization(circuit) num_qubitsthetaphireturnNc>SUSSUSS3n[XS9nURX#UR5 [TU]XS9 UR UR 5UR5 g)z Args: num_qubits: number of qubits. theta: rotation angle about axis determined by phi phi: angle of rotation axis in xy-plane zGR(z.2fz, )nameN)rrqubitssuper__init__appendto_gate)selfrrr rcircuit __class__s e/home/james-whalen/.local/lib/python3.13/site-packages/qiskit/circuit/library/generalized_gates/gr.pyr GR.__init__:sbU3Kr#c!, 7 %gnn- / GOO%t{{3 __name__ __module__ __qualname____firstlineno____doc__intfloatr__static_attributes__ __classcell__rs@rrrs/$L 43 4u 45 4T 4 4rrc<^\rSrSrSrS\S\SS4U4SjjrSrU=r $) GRXIuGlobal RX gate. **Circuit symbol:** .. code-block:: text ┌──────────┐ q_0: ┤0 ├ │ │ q_1: ┤1 GRX(ϴ) ├ │ │ q_2: ┤2 ├ └──────────┘ The global RX gate is native to atomic systems (ion traps, cold neutrals). The global RX can be applied to multiple qubits simultaneously. In the one-qubit case, this is equivalent to an RX(theta) operations, and is thus reduced to the RXGate. The global RX gate is a direct sum of RX operations on all individual qubits. .. math:: GRX(\theta) = \exp(-i \sum_{i=1}^{n} X_i \theta/2) **Expanded Circuit:** .. plot:: :alt: Diagram illustrating the previously described circuit. from qiskit.circuit.library import GRX from qiskit.visualization.library import _generate_circuit_library_visualization import numpy as np circuit = GRX(num_qubits=3, theta=np.pi/4) _generate_circuit_library_visualization(circuit) rrr Nc">[TU]XSS9 g)zsCreate a new Global RX (GRX) gate. Args: num_qubits: number of qubits. theta: rotation angle about x-axis rr N)rrrrrrs rr GRX.__init__ps 2rrrr&s@rr(r(Is($L333u333rr(c<^\rSrSrSrS\S\SS4U4SjjrSrU=r $) GRYzuGlobal RY gate. **Circuit symbol:** .. code-block:: text ┌──────────┐ q_0: ┤0 ├ │ │ q_1: ┤1 GRY(ϴ) ├ │ │ q_2: ┤2 ├ └──────────┘ The global RY gate is native to atomic systems (ion traps, cold neutrals). The global RY can be applied to multiple qubits simultaneously. In the one-qubit case, this is equivalent to an RY(theta) operation, and is thus reduced to the RYGate. The global RY gate is a direct sum of RY operations on all individual qubits. .. math:: GRY(\theta) = \exp(-i \sum_{i=1}^{n} Y_i \theta/2) **Expanded Circuit:** .. plot:: :alt: Diagram illustrating the previously described circuit. from qiskit.circuit.library import GRY from qiskit.visualization.library import _generate_circuit_library_visualization import numpy as np circuit = GRY(num_qubits=3, theta=np.pi/4) _generate_circuit_library_visualization(circuit) rrr NcD>[TU]X[RS- S9 g)zsCreate a new Global RY (GRY) gate. Args: num_qubits: number of qubits. theta: rotation angle about y-axis r+N)rrnppir,s rr GRY.__init__s  :rrrr&s@rr/r/zs($L;3;u;;;rr/c<^\rSrSrSrS\S\SS4U4SjjrSrU=r $) GRZuGlobal RZ gate. **Circuit symbol:** .. code-block:: text ┌──────────┐ q_0: ┤0 ├ │ │ q_1: ┤1 GRZ(φ) ├ │ │ q_2: ┤2 ├ └──────────┘ The global RZ gate is native to atomic systems (ion traps, cold neutrals). The global RZ can be applied to multiple qubits simultaneously. In the one-qubit case, this is equivalent to an RZ(phi) operation, and is thus reduced to the RZGate. The global RZ gate is a direct sum of RZ operations on all individual qubits. .. math:: GRZ(\phi) = \exp(-i \sum_{i=1}^{n} Z_i \phi) **Expanded Circuit:** .. plot:: :alt: Diagram illustrating the previously described circuit. from qiskit.circuit.library import GRZ from qiskit.visualization.library import _generate_circuit_library_visualization import numpy as np circuit = GRZ(num_qubits=3, phi=np.pi/2) _generate_circuit_library_visualization(circuit) rr r NcX>[TU]USS9 URX R5 g)zqCreate a new Global RZ (GRZ) gate. Args: num_qubits: number of qubits. phi: rotation angle about z-axis grzr N)rrrzr)rrr rs rr GRZ.__init__s' %0 [[!rrrr&s@rr7r7s($L"3"U"t""rr7) r!numpyr3qiskit.circuit.quantumcircuitrrr(r/r7rrrr?sC83434l.3".3b.;".;b/"./"r