z i`SrSSKJr SSKJr SSKrSSKJr SSK J r SSK J r SSK Jr SS KJr SS KJr "S S \5r"S S\5rg)u" Global Mølmer–Sørensen gate. ) annotations)SequenceN)QuantumCircuit)QuantumRegister)ParameterValueType)RXXGate)Gate)deprecate_funccF^\rSrSrSr\"SSSS9S U4Sjj5rSrU=r$) GMSulGlobal Mølmer–Sørensen gate. Circuit symbol: .. code-block:: text ┌───────────┐ q_0: ┤0 ├ │ │ q_1: ┤1 GMS ├ │ │ q_2: ┤2 ├ └───────────┘ Expanded Circuit: .. plot:: :alt: Diagram illustrating the previously described circuit. from qiskit.circuit.library import GMS from qiskit.visualization.library import _generate_circuit_library_visualization import numpy as np circuit = GMS(num_qubits=3, theta=[[0, np.pi/4, np.pi/8], [0, 0, np.pi/2], [0, 0, 0]]) _generate_circuit_library_visualization(circuit.decompose()) The Mølmer–Sørensen gate is native to ion-trap systems. The global MS can be applied to multiple ions to entangle multiple qubits simultaneously [1]. In the two-qubit case, this is equivalent to an XX(theta) interaction, and is thus reduced to the RXXGate. The global MS gate is a sum of XX interactions on all pairs [2]. .. math:: GMS(\chi_{12}, \chi_{13}, ..., \chi_{n-1 n}) = exp(-i \sum_{i=1}^{n} \sum_{j=i+1}^{n} X{\otimes}X \frac{\chi_{ij}}{2}) References: [1] Sørensen, A. and Mølmer, K., Multi-particle entanglement of hot trapped ions. Physical Review Letters. 82 (9): 1835–1838. `arXiv:9810040 `_ [2] Maslov, D. and Nam, Y., Use of global interactions in efficient quantum circuit constructions. New Journal of Physics, 20(3), p.033018. `arXiv:1707.06356 `_ z2.1zUse the MSGate instead.z in Qiskit 3.0)sinceadditional_msgremoval_timelinec>[TU]USS9 [U[5(dU/[ US-S- S- 5-n[ USS9n[ UR5HDn[ US-UR5H$nUR[X$U5XE/5 M& MF URUR5UR5 g)z Args: num_qubits: width of gate. theta: a num_qubits x num_qubits symmetric matrix of interaction angles for each qubit pair. The upper triangle is considered. gmsnameN) super__init__ isinstancelistintrrange num_qubitsappendrto_gatequbits)selfrthetarij __class__s f/home/james-whalen/.local/lib/python3.13/site-packages/qiskit/circuit/library/generalized_gates/gms.pyr GMS.__init__Qs %0%&&Gc:q=1#4"9::EZe4t'A1q5$//2 758A;/!83( CKKM4;;/)rrr"zlist[list[float]] | np.ndarrayreturnNone) __name__ __module__ __qualname____firstlineno____doc__r r__static_attributes__ __classcell__r%s@r&r r s+0d0( 0  0r(r cR^\rSrSrSrSSU4SjjjrSrU4SjrSrU=r $) MSGatehuThe Mølmer–Sørensen gate. The Mølmer–Sørensen gate is native to ion-trap systems. The global MS can be applied to multiple ions to entangle multiple qubits simultaneously [1]. In the two-qubit case, this is equivalent to an XX interaction, and is thus reduced to the :class:`.RXXGate`. The global MS gate is a sum of XX interactions on all pairs [2]. .. math:: MS(\chi_{12}, \chi_{13}, ..., \chi_{n-1 n}) = exp(-i \sum_{i=1}^{n} \sum_{j=i+1}^{n} X{\otimes}X \frac{\chi_{ij}}{2}) Example:: import numpy as np from qiskit.circuit.library import MSGate from qiskit.quantum_info import Operator gate = MSGate(num_qubits=3, theta=[[0, np.pi/4, np.pi/8], [0, 0, np.pi/2], [0, 0, 0]]) print(Operator(gate)) References: [1] Sørensen, A. and Mølmer, K., Multi-particle entanglement of hot trapped ions. Physical Review Letters. 82 (9): 1835–1838. `arXiv:9810040 `_ [2] Maslov, D. and Nam, Y., Use of global interactions in efficient quantum circuit constructions. New Journal of Physics, 20(3), p.033018. `arXiv:1707.06356 `_ c&>[TU]SX/US9 g)aT Args: num_qubits: The number of qubits the MS gate acts on. theta: The XX rotation angles. If a single value, the same angle is used on all interactions. Alternatively an upper-triangular, square matrix with width ``num_qubits`` can be provided with interaction angles for each qubit pair. label: A gate label. ms)labelN)rr)r!rr"r9r%s r&rMSGate.__init__s z7%@r(ctURSn[URSS9n[X RS9n[ UR5Hcn[ US-UR5HCn[ U[5(dUOXUnUR[U5X$X%//5 ME Me X0l g)Nrqrr) paramsrrrrrrr_appendr definition)r!thetasr<qcr#r$r"s r&_defineMSGate._definesQ DOO# 6 AII .t'A1q5$//2&0&B&B RS  75>AD!$<<3( r(c >[U[5(a7UVVs/sH'nUVs/sHn[[U]U5PM snPM) snn$[TU]U5$s snfs snnfN)rrrr5validate_parameter)r! parameterrowr"r%s r&rFMSGate.validate_parametersl i * *%$CMPPC5vt7>CP$  w))44 Qs A"A A"A")r?rE)rrr"z;ParameterValueType | Sequence[Sequence[ParameterValueType]]r9z str | None) r,r-r.r/r0rrBrFr1r2r3s@r&r5r5hsI#R! AAKA AA 55r(r5)r0 __future__rcollections.abcrnumpynpqiskit.circuit.quantumcircuitrqiskit.circuitr"qiskit.circuit.parameterexpressionr%qiskit.circuit.library.standard_gatesrqiskit.circuit.gater qiskit.utils.deprecationr r r5r)r(r&rTsD#$8*A9$3G0.G0TJ5TJ5r(