@techreport{oai:ipsj.ixsq.nii.ac.jp:00226741,
 author = {Hidetaka, Manabe and Yasunari, Suzuki and Andrew, Darmawan and Hidetaka, Manabe and Yasunari, Suzuki and Andrew, Darmawan},
 issue = {1},
 month = {Jun},
 note = {Leakage errors, in which qubits are excited to levels outside the qubit subspace, represent a significant obstacle in the development of robust quantum computers. We present a computationally efficient simulation methodology for studying leakage errors in quantum error correcting codes (QECCs) using tensor network methods, specifically matrix product states (MPS). Our approach enables the simulation of various leakage processes, including thermal noise and coherent errors without approximation (such as the Pauli twirl approximation). We apply our method to the one-dimensional (1D) repetition code. By leveraging the small amount of entanglement generated during the error correction process, we are able to study large systems over many code cycles. We also use our simulation technique to evaluate a variety of leakage removal strategies., Leakage errors, in which qubits are excited to levels outside the qubit subspace, represent a significant obstacle in the development of robust quantum computers. We present a computationally efficient simulation methodology for studying leakage errors in quantum error correcting codes (QECCs) using tensor network methods, specifically matrix product states (MPS). Our approach enables the simulation of various leakage processes, including thermal noise and coherent errors without approximation (such as the Pauli twirl approximation). We apply our method to the one-dimensional (1D) repetition code. By leveraging the small amount of entanglement generated during the error correction process, we are able to study large systems over many code cycles. We also use our simulation technique to evaluate a variety of leakage removal strategies.},
 title = {Efficient Simulation of Leakage Errors in Quantum Error Correcting Codes Using Tensor Network Methods},
 year = {2023}
}