ExtraFerm
pip install extraferm
Overview
This library can be used to estimate Born rule probabilities of measurement outcomes from particle-number conserving extended matchgate circuits:
- Extended matchgate: the universal gate set consisting of matchgates + controlled‑phase gates
- Particle-number conserving: the Hamming weight of initial state is preserved at all points by the circuit
Circuit Extent
Our simulator runs most efficiently when the circuit’s extent is close to one. The extent is defined as:
$$ \xi^* = \prod_{j=1}^k \bigl(\cos(\theta_j/4) + \sin(\theta_j/4)\bigr)^2 $$
where $\theta_j$ is the angle of the $j$-th controlled-phase gate.
Use
Users should interact with the simulator through the outcome_probabilities function in interface.py.
Example
import numpy as np
from qiskit import QuantumCircuit
from qiskit.circuit.library import XXPlusYYGate
from extraferm import outcome_probabilities
# Create a small circuit
seed = 123
rng = np.random.default_rng(seed=seed)
angles = rng.uniform(0, 2 * np.pi, size=12)
qc = QuantumCircuit(4)
qc.x([0, 2])
qc.append(XXPlusYYGate(theta=angles[0], beta=angles[1]), [0, 1])
qc.cp(theta=angles[3], control_qubit=1, target_qubit=2)
qc.append(XXPlusYYGate(theta=angles[4], beta=angles[5]), [1, 2])
qc.cp(theta=angles[6], control_qubit=0, target_qubit=1)
qc.p(theta=angles[7], qubit=0)
qc.append(XXPlusYYGate(theta=angles[8], beta=angles[9]), [2, 3])
qc.append(XXPlusYYGate(theta=angles[10], beta=angles[11]), [0, 1])
# Estimate a few bitstring probabilitites
bitstrings = [0b0101, 0b1100, 0b0011]
probs = outcome_probabilities(
circuit=qc, outcome_states=bitstrings, trajectory_count=100_000, seed=seed
)
# Show results
print(probs)
qc.draw("mpl", scale=0.8, fold=-1)
[5.09355260e-01 1.56195696e-33 8.07714813e-02]
Release files for ExtraFerm 0.0.2
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