Hop

class Hop(num_modes, j, label=None)

Hopping of particles to neighbouring wells due to tunneling.

The generating Hamiltonian of the hopping gate is

\(H = \sum_{i=1,\sigma}^{L-1} - J_i (f^\dagger_{i,\sigma} f_{i+1,\sigma} + f^\dagger_{i+1,\sigma} f_{i,\sigma})\)

where \(i\) indexes the mode, \(\sigma\) indexes the spin, \(L\) gives the total number of sites and \(J_i\) are the hopping strengths

Initialize hopping gate :type num_modes: :param num_modes: number of fermionic modes that are connected by the hopping :param (= 2* number of tweezers): :type j: List[float] :param j: list of hopping strengths between the tweezer. j[0] gives the strength of hopping :param between wires 0 and 1: :param : :param j[1] gives the strength of hopping between wires 1 and 2: :type j[1] gives the strength of hopping between wires 1 and 2: j :param etc.: :type etc.: j :param so len: :type so len: j :param of length num_wires-1: :type label: :param label: optional

Raises:

• QiskitColdAtomError – given num_modes not even integer

• QiskitColdAtomError – length of j not num_modes/2 - 1

Attributes

Hop.condition_bits	Get Clbits in condition.
Hop.decompositions	Get the decompositions of the instruction from the SessionEquivalenceLibrary.
Hop.definition	Return definition in terms of other basic gates.
Hop.duration	Get the duration.
Hop.generator	The generating Hamiltonian of the hopping gate.
Hop.label	Return instruction label
Hop.name	Return the name.
Hop.num_clbits	Return the number of clbits.
Hop.num_qubits	Return the number of qubits.
Hop.params	return instruction params.
Hop.unit	Get the time unit of duration.

Methods

Hop.add_decomposition(decomposition)	Add a decomposition of the instruction to the SessionEquivalenceLibrary.
Hop.assemble()	Assemble a QasmQobjInstruction
Hop.broadcast_arguments(qargs, cargs)	Validation and handling of the arguments and its relationship.
Hop.c_if(classical, val)	Set a classical equality condition on this instruction between the register or cbit classical and value val.
Hop.control([num_ctrl_qubits, label, ctrl_state])	Overwrite control method which is supposed to return a controlled version of the gate.
Hop.copy([name])	Copy of the instruction.
Hop.inverse()	Get inverse gate by reversing the sign of all hopping strengths
Hop.is_parameterized()	Return True .IFF.
Hop.operator_to_mat(generator, num_species)	Compute the matrix representation of the fermion operator.
Hop.power(exponent)	Creates a fermionic gate as gate^exponent
Hop.qasm()	Return a default OpenQASM string for the instruction.
Hop.repeat(n)	Creates an instruction with gate repeated n amount of times.
Hop.reverse_ops()	For a composite instruction, reverse the order of sub-instructions.
Hop.soft_compare(other)	Soft comparison between gates.
Hop.to_matrix([num_species, basis])	Return a Numpy.array for the gate unitary matrix.
Hop.validate_parameter(parameter)	Gate parameters should be int, float, or ParameterExpression