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README.md

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# Python CHP Stabilizer Simulator
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A simple reference python implementation of Scott Aaronson and Daniel Gottesman's CHP simulator
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as defined in [their 2004 paper "Improved Simulation of Stabilizer Circuits"](https://arxiv.org/abs/quant-ph/0406196).
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This simulator is capable of simulating quantum stabilizer circuits in polynomial time and space.
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Specifically, it uses `O(q^2*m + q*c)` time and `O(q^2)` space where
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`q` is the number of qubits,
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`m` is the number of measurements,
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and `c` is the number of Hadamard/CNOT/Phase gates.
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# Usage
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Here is an example of simulating [a circuit](https://algassert.com/quirk#circuit=%7B%22cols%22%3A%5B%5B1%2C1%2C%22H%22%5D%2C%5B%22X%22%2C1%2C%22%E2%80%A2%22%5D%2C%5B1%2C%22X%22%2C%22%E2%80%A2%22%5D%2C%5B%22Z%5E%C2%BD%22%2C%22Z%5E%C2%BD%22%5D%2C%5B%22H%22%2C%22H%22%2C%22H%22%5D%2C%5B%22Measure%22%2C%22Measure%22%2C%22Measure%22%5D%2C%5B%22Chance3%22%5D%5D%7D):
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```python
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from stabilizer_sim import StabilizerSim
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sim = StabilizerSim(num_qubits=3)
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# Desired circuit:
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# 0: -------X-------S---H---M---
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# |
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# 1: -------|---X---S---H---M---
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# | |
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# 2: ---H---@---@-------H---M---
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sim.hadamard(2)
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sim.cnot(2, 0)
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sim.cnot(2, 1)
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sim.phase(0)
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sim.phase(1)
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sim.hadamard(0)
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sim.hadamard(1)
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sim.hadamard(2)
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# Show internal simulator state.
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print(sim, '\n')
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# prints:
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# -Y..
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# -.Y.
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# +..X
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# ----
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# +X.X
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# +.XX
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# +YYZ
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# Perform measurements
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v0 = sim.measure(0)
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v1 = sim.measure(1)
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v2 = sim.measure(2)
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print(v0)
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print(v1)
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print(v2)
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# prints [note: one of four possible results for this circuit]:
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# True (random)
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# False (random)
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# False (determined)
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# Check pattern the outputs should satisfy.
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assert not v0.determined
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assert not v1.determined
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assert v2.determined
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assert bool(v0) ^ bool(v1) ^ bool(v2)
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```
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# Installation
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At the moment there is no special installation method such as a pypi package.
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Just copy-paste the `stabilizer_sim` folder of this repository into your project.
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The only runtime dependency is `numpy`.

requirements.txt

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numpy
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pytest

stabilizer_sim/__init__.py

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from .stabilizer_sim_core import (
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MeasureResult,
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)
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from .stabilizer_sim_extra import (
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StabilizerSim,
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)

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