gdZddlmZddlmZddlZddlmZddl m Z ddl m Z ddl mZdd lmZdd lmZGd d eZGd deZdS)u" Global Mølmer–Sørensen gate. ) annotations)SequenceN)QuantumCircuit)QuantumRegister)ParameterValueType)RXXGate)Gate)deprecate_funccLeZdZdZedddd fd ZxZS)GMSuGlobal 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 `_ z1.3zUse the MSGate instead.T)sinceadditional_msgpending num_qubitsintthetalist[list[float]] | np.ndarrayreturnNonect|dt|ts|gt |dzdz dz z}t |d}t |jD]N}t |dz|jD]3}|t|||||g4O|| |j dS)uCreate a new Global Mølmer–Sørensen (GMS) gate. 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__ isinstancelistrrrangerappendrto_gatequbits)selfrrrij __class__s b/granary/edev/quantum/lib/python3.11/site-packages/qiskit/circuit/library/generalized_gates/gms.pyrz GMS.__init__Qs %000%&& ;Gc:q=1#4"9:::EZe444t'' 9 9A1q5$/22 9 9 758A;//!Q8888 9 CKKMM4;/////)rrrrrr)__name__ __module__ __qualname____doc__r r __classcell__r's@r(r r si00d^%0ISWXXX00000YX00000r)r c8eZdZdZ d d fd Zd Zfd ZxZS)MSGateu(The Mølmer–Sørensen gate. The Mølmer–Sørensen gate is native to ion-trap systems. The global MS can be applied to multiple ions to entangle multiple qubits simultaneously [1]. In the two-qubit case, this is equivalent to an XX interaction, and is thus reduced to the :class:`.RXXGate`. The global MS gate is a sum of XX interactions on all pairs [2]. .. math:: MS(\chi_{12}, \chi_{13}, ..., \chi_{n-1 n}) = exp(-i \sum_{i=1}^{n} \sum_{j=i+1}^{n} X{\otimes}X \frac{\chi_{ij}}{2}) Example:: import numpy as np from qiskit.circuit.library import MSGate from qiskit.quantum_info import Operator gate = MSGate(num_qubits=3, theta=[[0, np.pi/4, np.pi/8], [0, 0, np.pi/2], [0, 0, 0]]) print(Operator(gate)) **References:** [1] Sørensen, A. and Mølmer, K., Multi-particle entanglement of hot trapped ions. Physical Review Letters. 82 (9): 1835–1838. `arXiv:9810040 `_ [2] Maslov, D. and Nam, Y., Use of global interactions in efficient quantum circuit constructions. New Journal of Physics, 20(3), p.033018. `arXiv:1707.06356 `_ Nrrr;ParameterValueType | Sequence[Sequence[ParameterValueType]]label str | NonecTtd||g|dS)a Args: num_qubits: The number of qubits the MS gate acts on. theta: The XX rotation angles. If a single value, the same angle is used on all interactions. Alternatively an upper-triangular, square matrix with width ``num_qubits`` can be provided with interaction angles for each qubit pair. label: A gate label. ms)r3N)rr)r$rrr3r's r(rzMSGate.__init__s. zE7%@@@@@r)c|jd}t|jd}t||j}t |jD]t}t |dz|jD]Y}t |ts|n |||}|t|||||ggZu||_ dS)Nrqrr) paramsrrrrr rr_appendr definition)r$thetasr8qcr%r&rs r(_definezMSGate._definesQ DO# 6 6 6 ADI . . .t'' = =A1q5$/22 = =&0&B&BTq RS  75>>AaD!A$<<<<< = r)ct|trfd|DSt|S)Nc.g|]}fd|DS)c`g|]*}tt|+S)rr1validate_parameter).0rr'r$s r( z8MSGate.validate_parameter...s1PPP5vt$$77>>PPPr)rB)rDrowr'r$s r(rEz-MSGate.validate_parameter..sAQPPPPCPPPr))rrrrC)r$ parameterr's` r(rCzMSGate.validate_parameters` i * * $  ww)))444r))N)rrrr2r3r4)r*r+r,r-rr>rCr.r/s@r(r1r1es##R! AAAAAAA   555555555r)r1)r- __future__rcollections.abcrnumpynpqiskit.circuit.quantumcircuitrqiskit.circuit.quantumregisterr"qiskit.circuit.parameterexpressionr%qiskit.circuit.library.standard_gatesrqiskit.circuit.gater qiskit.utils.deprecationr r r1rBr)r(rRs#"""""$$$$$$888888::::::AAAAAA999999$$$$$$333333D0D0D0D0D0.D0D0D0NJ5J5J5J5J5TJ5J5J5J5J5r)