Stabilizer simulation example utilizing stim backend

[refraction-ray]

Task description

Add an example python script stabilizer_stim_sim.py in /examples which showcases stabilizer circuit simulation using tc interface with stim backend.

Implementation

The script includes:

1. Clifford circuit with mid-circuit measurement defined in tc
2. Transform the circuit object into Stim circuit object with the helper function defined in the same script (input: tc circuit, output: stim circuit)(can utilize c._qir and c._extra_qir, using c.measure_instruction to get the mid circuit measurement recorded in extra_qir and using c.mid_measurement for the real functionality)
3. Simulate the circuit in stim and extract the stabilizer tableau
4. Compute the entanglement entropy of the output state with the helper function defined in the same script (input: stabilizer tableau representation, output: entanglement entropy value) (see Ref 3, it would be better to try hard to accelerate this function)
5. Validate the correctness by directly computing entanglement from tc (mid-circuit measurement results might require to be averaged)

References:

1. Stabilizer simulator #159
2. https://github.com/quantumlib/Stim
3. https://quantumcomputing.stackexchange.com/questions/16718/measuring-entanglement-entropy-using-a-stabilizer-circuit-simulator
4. https://arxiv.org/abs/quant-ph/0406196

[anonymousr007]

Hi @refraction-ray, Nice to meet you.

I am Rishabh Singh, and I have been learning about quantum computing since 2020.

• Experience - Qiskit, Pennylane and Cirq.
• Participation - Quantum Hackathons, Qiskit Summer School and IBM Quantum Challenges.
• Open Source Contribution - Cirq, Pennylane, Scikit-Learn.
• I am interested in this issue and want to contribute under UnitaryHack.

Best Regards
Rishabh Singh
LinkedIn | GitHub

[refraction-ray]

@anonymousr007 , great, feel free to open a PR for this issue. Should you encounter any further questions or need assistance while working on it, please don't hesitate to reach out. We're here to help and look forward to your contributions.

[AbdullahKazi500]

Hi @refraction-ray I got the stabilizer example to work now I will be covering the points in the PR Issue

[AbdullahKazi500]

@refraction-ray I got the stabilizer example to work with mid circuit measurements

[AbdullahKazi500]

@refraction-ray is their a way to plot in stim

[refraction-ray]

is their a way to plot in stim

https://quantumcomputing.stackexchange.com/questions/25734/how-can-i-visualize-a-stim-circuit

[AbdullahKazi500]

@refraction-ray I am getting stuck here ---------------
AttributeError: 'stim._stim_sse2.TableauSimulator' object has no attribute 'simulate'
probably checking

[AbdullahKazi500]

@refraction-ray this issue is done now just stuck at the 4 point it is really hard to get that function to work

[AbdullahKazi500]

@refraction-ray finally the code works after modification I will make a PR

[AbdullahKazi500]

[AbdullahKazi500]

@refraction-ray can I get some feedback

[refraction-ray]

@AbdullahKazi500 ， you can open an PR so that I can review the script if you have already got the example work and the result entanglement is checked to be correct

[AbdullahKazi500]

@refraction-ray Added