@techreport{oai:ipsj.ixsq.nii.ac.jp:00225065,
 author = {Hiroyuki, Harada and Kaito, Wada and Naoki, Yamamoto and Hiroyuki, Harada and Kaito, Wada and Naoki, Yamamoto},
 issue = {29},
 month = {Mar},
 note = {To overcome the limitation of the quality and quantity of qubits in currenet quantum devices, quantum circuit cutting technique has been proposed. This techniques take a strategy to cut a quantum circuit, enabling us to execute quantum simulations requiring more qubits than physically available. Although this method is appealing, there is a problem that the sampling cost grows exponentially with the number of cuts, so it is important to pursue decomposition methods with small sampling costs. In this work, we propose a method of decomposing a single-qubit identity channel, which achieves a optimal sampling costs without any ancilla qubits. Furthermore, we give optimal decomposition of a n-qubit parallel identity channels. While recent studies have shown that the use of a pre-shared Bell pairs allows for optimal decomposition of n-qubit parallel identity channels, our method does not require that resources but achieve the same sampling costs., To overcome the limitation of the quality and quantity of qubits in currenet quantum devices, quantum circuit cutting technique has been proposed. This techniques take a strategy to cut a quantum circuit, enabling us to execute quantum simulations requiring more qubits than physically available. Although this method is appealing, there is a problem that the sampling cost grows exponentially with the number of cuts, so it is important to pursue decomposition methods with small sampling costs. In this work, we propose a method of decomposing a single-qubit identity channel, which achieves a optimal sampling costs without any ancilla qubits. Furthermore, we give optimal decomposition of a n-qubit parallel identity channels. While recent studies have shown that the use of a pre-shared Bell pairs allows for optimal decomposition of n-qubit parallel identity channels, our method does not require that resources but achieve the same sampling costs.},
 title = {Connecting Quantum Systems with Classical Wires},
 year = {2023}
}