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!pip install mthree

Requirement already satisfied: mthree in /home/lpawela/anaconda3/envs/parrondo-old/lib/python3.12/site-packages (3.0.0)
Requirement already satisfied: numpy>=1.23 in /home/lpawela/anaconda3/envs/parrondo-old/lib/python3.12/site-packages (from mthree) (2.2.5)
Requirement already satisfied: scipy>=1.11.1 in /home/lpawela/anaconda3/envs/parrondo-old/lib/python3.12/site-packages (from mthree) (1.15.2)
Requirement already satisfied: cython>=3.0.10 in /home/lpawela/anaconda3/envs/parrondo-old/lib/python3.12/site-packages (from mthree) (3.1.1)
Requirement already satisfied: qiskit>=1.0 in /home/lpawela/anaconda3/envs/parrondo-old/lib/python3.12/site-packages (from mthree) (1.4.2)
Requirement already satisfied: psutil in /home/lpawela/anaconda3/envs/parrondo-old/lib/python3.12/site-packages (from mthree) (7.0.0)
Requirement already satisfied: orjson>=3.0.0 in /home/lpawela/anaconda3/envs/parrondo-old/lib/python3.12/site-packages (from mthree) (3.10.18)
Requirement already satisfied: runningman>=2.1 in /home/lpawela/anaconda3/envs/parrondo-old/lib/python3.12/site-packages (from mthree) (2.3.0)
Requirement already satisfied: rustworkx>=0.15.0 in /home/lpawela/anaconda3/envs/parrondo-old/lib/python3.12/site-packages (from qiskit>=1.0->mthree) (0.16.0)
Requirement already satisfied: sympy>=1.3 in /home/lpawela/anaconda3/envs/parrondo-old/lib/python3.12/site-packages (from qiskit>=1.0->mthree) (1.13.3)
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Requirement already satisfied: stevedore>=3.0.0 in /home/lpawela/anaconda3/envs/parrondo-old/lib/python3.12/site-packages (from qiskit>=1.0->mthree) (5.4.1)
Requirement already satisfied: typing-extensions in /home/lpawela/anaconda3/envs/parrondo-old/lib/python3.12/site-packages (from qiskit>=1.0->mthree) (4.13.2)
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Requirement already satisfied: qiskit_ibm_runtime>=0.22 in /home/lpawela/anaconda3/envs/parrondo-old/lib/python3.12/site-packages (from runningman>=2.1->mthree) (0.38.0)
Requirement already satisfied: six>=1.5 in /home/lpawela/anaconda3/envs/parrondo-old/lib/python3.12/site-packages (from python-dateutil>=2.8.0->qiskit>=1.0->mthree) (1.17.0)
Requirement already satisfied: requests>=2.19 in /home/lpawela/anaconda3/envs/parrondo-old/lib/python3.12/site-packages (from qiskit_ibm_runtime>=0.22->runningman>=2.1->mthree) (2.32.3)
Requirement already satisfied: requests-ntlm>=1.1.0 in /home/lpawela/anaconda3/envs/parrondo-old/lib/python3.12/site-packages (from qiskit_ibm_runtime>=0.22->runningman>=2.1->mthree) (1.3.0)
Requirement already satisfied: urllib3>=1.21.1 in /home/lpawela/anaconda3/envs/parrondo-old/lib/python3.12/site-packages (from qiskit_ibm_runtime>=0.22->runningman>=2.1->mthree) (2.4.0)
Requirement already satisfied: ibm-platform-services>=0.22.6 in /home/lpawela/anaconda3/envs/parrondo-old/lib/python3.12/site-packages (from qiskit_ibm_runtime>=0.22->runningman>=2.1->mthree) (0.63.0)
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Requirement already satisfied: pbr>=2.0.0 in /home/lpawela/anaconda3/envs/parrondo-old/lib/python3.12/site-packages (from stevedore>=3.0.0->qiskit>=1.0->mthree) (6.1.1)
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Requirement already satisfied: pydantic-core==2.23.4 in /home/lpawela/anaconda3/envs/parrondo-old/lib/python3.12/site-packages (from pydantic<2.10,>=2.5.0->qiskit_ibm_runtime>=0.22->runningman>=2.1->mthree) (2.23.4)
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Requirement already satisfied: pyspnego>=0.4.0 in /home/lpawela/anaconda3/envs/parrondo-old/lib/python3.12/site-packages (from requests-ntlm>=1.1.0->qiskit_ibm_runtime>=0.22->runningman>=2.1->mthree) (0.11.2)
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!pip freeze

annotated-types==0.7.0
asttokens==3.0.0
black==25.1.0
certifi==2025.1.31
cffi==1.17.1
charset-normalizer==3.4.1
click==8.1.8
comm==0.2.2
contourpy==1.3.2
cryptography==44.0.2
cudensitymat-cu12==0.1.0
cuquantum-cu12==25.3.0
custatevec-cu12==1.8.0
cutensor-cu12==2.2.0
cutensornet-cu12==2.7.0
cycler==0.12.1
Cython==3.1.1
debugpy==1.8.14
decorator==5.2.1
dill==0.4.0
dotenv==0.9.9
executing==2.2.0
fonttools==4.57.0
ibm-cloud-sdk-core==3.23.0
ibm-platform-services==0.63.0
idna==3.10
ipykernel==6.29.5
ipython==9.1.0
ipython_pygments_lexers==1.1.1
isort==6.0.1
jedi==0.19.2
joblib==1.5.0
jupyter_client==8.6.3
jupyter_core==5.7.2
kiwisolver==1.4.8
matplotlib==3.10.1
matplotlib-inline==0.1.7
mpmath==1.3.0
mthree==3.0.0
mypy_extensions==1.1.0
nest-asyncio==1.6.0
numpy==2.2.5
nvidia-cublas-cu12==12.8.4.1
nvidia-cuda-runtime-cu12==12.8.90
nvidia-cusolver-cu12==11.7.3.90
nvidia-cusparse-cu12==12.5.8.93
nvidia-nvjitlink-cu12==12.8.93
orjson==3.10.18
packaging==25.0
parso==0.8.4
pathspec==0.12.1
pbr==6.1.1
pexpect==4.9.0
pillow==11.2.1
platformdirs==4.3.7
prompt_toolkit==3.0.51
psutil==7.0.0
ptyprocess==0.7.0
pure_eval==0.2.3
pycparser==2.22
pydantic==2.9.2
pydantic_core==2.23.4
Pygments==2.19.1
PyJWT==2.10.1
pylatexenc==2.10
pyparsing==3.2.3
pyspnego==0.11.2
python-dateutil==2.9.0.post0
python-dotenv==1.1.0
pyzmq==26.4.0
qiskit==1.4.2
qiskit-aer==0.16.0
qiskit-aer-gpu==0.15.1
qiskit-ibm-runtime==0.38.0
qiskit-machine-learning==0.8.2
requests==2.32.3
requests_ntlm==1.3.0
runningman==2.3.0
rustworkx==0.16.0
scikit-learn==1.6.1
scipy==1.15.2
setuptools==75.8.0
six==1.17.0
stack-data==0.6.3
stevedore==5.4.1
symengine==0.13.0
sympy==1.13.3
threadpoolctl==3.6.0
tornado==6.4.2
tqdm==4.67.1
traitlets==5.14.3
typing_extensions==4.13.2
urllib3==2.4.0
wcwidth==0.2.13
wheel==0.45.1

import numpy as np
from qiskit import *
from qiskit_ibm_runtime.fake_provider import FakeVigoV2
import mthree

qc = QuantumCircuit(3)
qc.reset(range(3))
qc.h(0)
qc.cx(0,1)
qc.cx(1,2)
qc.measure_all()
qc.draw('mpl')

backend = FakeVigoV2()
mit = mthree.M3Mitigation(backend)
mit.cals_from_system(range(3))

[<qiskit_aer.jobs.aerjob.AerJob at 0x77339f3f51c0>]

trans_qc = transpile(qc, backend)
raw_counts = backend.run(trans_qc, shots=8192).result().get_counts()

raw_counts

{'001': 39,
 '110': 117,
 '101': 145,
 '100': 79,
 '011': 121,
 '111': 3665,
 '010': 52,
 '000': 3974}

prob_counts = {k: v/sum(raw_counts.values()) for k,v in raw_counts.items()}
prob_counts

{'100': 0.009521484375,
 '110': 0.0113525390625,
 '001': 0.0052490234375,
 '010': 0.0054931640625,
 '000': 0.4776611328125,
 '011': 0.0164794921875,
 '111': 0.457275390625,
 '101': 0.0169677734375}

quasis = mit.apply_correction(raw_counts, range(3))
print('Expectation value:',quasis.expval("ZZZ"))

Expectation value: 0.034488022327423096

quasis

{'000': np.float32(0.5340166),
 '001': np.float32(-0.03803007),
 '010': np.float32(0.0021706226),
 '011': np.float32(0.0038574233),
 '100': np.float32(0.006740882),
 '101': np.float32(0.00052801555),
 '110': np.float32(-0.021158068),
 '111': np.float32(0.5118746)}

all_zeros_proj = {'000': 1}
all_ones_proj = {'111': 1}
quasis.expval([all_zeros_proj, all_ones_proj])

array([0.5295377 , 0.52403015], dtype=float32)

sum(quasis.values())

np.float32(1.0)

quasis.nearest_probability_distribution()

{'111': np.float32(0.48892903), '000': np.float32(0.511071)}