ECRGate
class ECRGate
Bases: qiskit.circuit.gate.Gate
An echoed RZX(pi/2) gate implemented using RZX(pi/4) and RZX(-pi/4).
This gate is maximally entangling and is equivalent to a CNOT up to single-qubit pre-rotations. The echoing procedure mitigates some unwanted terms (terms other than ZX) to cancel in an experiment.
Circuit Symbol:
┌─────────┐ ┌────────────┐┌────────┐┌─────────────┐
q_0: ┤0 ├ q_0: ┤0 ├┤ RX(pi) ├┤0 ├
│ ECR │ = │ RZX(pi/4) │└────────┘│ RZX(-pi/4) │
q_1: ┤1 ├ q_1: ┤1 ├──────────┤1 ├
└─────────┘ └────────────┘ └─────────────┘Matrix Representation:
In Qiskit’s convention, higher qubit indices are more significant (little endian convention). In the above example we apply the gate on (q_0, q_1) which results in the tensor order. Instead, if we apply it on (q_1, q_0), the matrix will be :
┌─────────┐
q_0: ┤1 ├
│ ECR │
q_1: ┤0 ├
└─────────┘Create new ECR gate.
Methods Defined Here
to_matrix
ECRGate.to_matrix()
Return a numpy.array for the ECR gate.
Attributes
condition_bits
Get Clbits in condition.
Return type
List[Clbit]
decompositions
Get the decompositions of the instruction from the SessionEquivalenceLibrary.
definition
Return definition in terms of other basic gates.
duration
Get the duration.
label
Return instruction label
Return type
str
name
Return the name.
num_clbits
Return the number of clbits.
num_qubits
Return the number of qubits.
params
return instruction params.
unit
Get the time unit of duration.