gdZddlZddlmZGddeZGddeZGdd eZGd d eZdS) zGlobal R gates.N)QuantumCircuitc4eZdZdZdedededdffd ZxZS)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_qubitsthetaphireturnNcd|dd|dd}t||}||||jt|||||jdS)zCreate a new Global R (GR) gate. 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)selfrrrr circuit __class__s a/granary/edev/quantum/lib/python3.11/site-packages/qiskit/circuit/library/generalized_gates/gr.pyrz GR.__init__:s-U,,,#,,,, $777 %gn--- $/// GOO%%t{33333__name__ __module__ __qualname____doc__intfloatr __classcell__rs@rrrsd$$L 43 4u 45 4T 4 4 4 4 4 4 4 4 4 4rrc0eZdZdZdededdffd ZxZS)GRXueGlobal RX gate. **Circuit symbol:** .. code-block:: text ┌──────────┐ q_0: ┤0 ├ │ │ q_1: ┤1 GRX(ϴ) ├ │ │ q_2: ┤2 ├ └──────────┘ The global RX gate is native to atomic systems (ion traps, cold neutrals). The global RX can be applied to multiple qubits simultaneously. In the one-qubit case, this is equivalent to an RX(theta) operations, and is thus reduced to the RXGate. The global RX gate is a direct sum of RX operations on all individual qubits. .. math:: GRX(\theta) = \exp(-i \sum_{i=1}^{n} X_i \theta/2) **Expanded Circuit:** .. plot:: :alt: Diagram illustrating the previously described circuit. from qiskit.circuit.library import GRX from qiskit.visualization.library import _generate_circuit_library_visualization import numpy as np circuit = GRX(num_qubits=3, theta=np.pi/4) _generate_circuit_library_visualization(circuit) rrr NcPt||ddS)zCreate a new Global RX (GRX) gate. Args: num_qubits: number of qubits. theta: rotation angle about x-axis rrN)rrrrrrs rrz GRX.__init__qs* U22222rrr!s@rr#r#Js]$$L333u33333333333rr#c0eZdZdZdededdffd ZxZS)GRYu_Global 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 Ncjt||tjdz dS)zCreate a new Global RY (GRY) gate. Args: num_qubits: number of qubits. theta: rotation angle about y-axis r%N)rrnppir&s rrz GRY.__init__s0 U :::::rrr!s@rr(r({s]$$L;3;u;;;;;;;;;;;rr(c0eZdZdZdededdffd ZxZS)GRZuUGlobal RZ gate. **Circuit symbol:** .. code-block:: text ┌──────────┐ q_0: ┤0 ├ │ │ q_1: ┤1 GRZ(φ) ├ │ │ q_2: ┤2 ├ └──────────┘ The global RZ gate is native to atomic systems (ion traps, cold neutrals). The global RZ can be applied to multiple qubits simultaneously. In the one-qubit case, this is equivalent to an RZ(phi) operation, and is thus reduced to the RZGate. The global RZ gate is a direct sum of RZ operations on all individual qubits. .. math:: GRZ(\phi) = \exp(-i \sum_{i=1}^{n} Z_i \phi) **Expanded Circuit:** .. plot:: :alt: Diagram illustrating the previously described circuit. from qiskit.circuit.library import GRZ from qiskit.visualization.library import _generate_circuit_library_visualization import numpy as np circuit = GRZ(num_qubits=3, phi=np.pi/2) _generate_circuit_library_visualization(circuit) rrr Nct|d|||jdS)zCreate a new Global RZ (GRZ) gate. Args: num_qubits: number of qubits. phi: rotation angle about z-axis grzr N)rrrzr)rrrrs rrz GRZ.__init__s> %000 T[!!!!!rrr!s@rr.r.s]$$L"3"U"t""""""""""rr.) rnumpyr+qiskit.circuit.quantumcircuitrrr#r(r.rrr5s8888884444444444444444n.3.3.3.3.3".3.3.3b.;.;.;.;.;".;.;.;b/"/"/"/"/"./"/"/"/"/"r