Hidden Inverse Circuits for Coherent Error Suppression

Hack month week 1

Key reference: https://arxiv.org/abs/2104.01119

Idea: Self adjoint gates such as CX have two equivalent decompositions into hardware native gates. Find symmetric circuits and use both decompositions to cancel coherent errors.

Contributions and suggestions for future work welcome.

If we have a matrix $M$ satisfying $M=M^\dagger$ we say that $M$ is self adjoint. We can decompose this matrix $M$ in two ways.

$$ \begin{equation} M = ABC = C^\dagger B^\dagger A^\dagger = M^\dagger \end{equation} $$

Here $M$ represents the unitary (and self-adjoint) matrix associated with a two qubit gate.

Setup

1. Clone this repository

git clone git@github.com:CQCL/hidden_inverse_exp.git

2. Now install dependencies with uv.

cd hidden_inverse_exp
uv sync --all-groups

3. Run the tests

cd tests
uv run pytest