講演抄録/キーワード |
講演名 |
2015-09-01 10:30
Impossibility of Classically Simulating One-Clean-Qubit Computation Keisuke Fujii(Kyoto Univ.)・Hirotada Kobayashi(NII)・Tomoyuki Morimae(Gunma Univ.)・○Harumichi Nishimura(Nagoya Univ.)・Shuhei Tamate(NII)・Seiichiro Tani(NTT) COMP2015-17 |
抄録 |
(和) |
Deterministic quantum computation with one quantum bit (DQC1) is a restricted model of quantum computing where the input state is the completely mixed state except for a single clean qubit, and only a single output qubit is measured at the end of the computing. It is proved that the restriction of quantum computation to the DQC1 model does not change the complexity classes NQP and SBQP. As a main consequence, it follows that the DQC1 model cannot be efficiently simulated by classical computers unless the polynomial-time hierarchy collapses to the second level (more precisely, to AM), which answers the long-standing open problem posed by Knill and Laflamme under the very plausible complexity assumption. The argument developed in this paper also weakens the complexity assumption necessary for the existing impossibility results on classical simulation of various sub-universal quantum computing models, such as the IQP model and the Boson sampling. |
(英) |
Deterministic quantum computation with one quantum bit (DQC1) is a restricted model of quantum computing where the input state is the completely mixed state except for a single clean qubit, and only a single output qubit is measured at the end of the computing. It is proved that the restriction of quantum computation to the DQC1 model does not change the complexity classes NQP and SBQP. As a main consequence, it follows that the DQC1 model cannot be efficiently simulated by classical computers unless the polynomial-time hierarchy collapses to the second level (more precisely, to AM), which answers the long-standing open problem posed by Knill and Laflamme under the very plausible complexity assumption. The argument developed in this paper also weakens the complexity assumption necessary for the existing impossibility results on classical simulation of various sub-universal quantum computing models, such as the IQP model and the Boson sampling. |
キーワード |
(和) |
量子計算 / 計算複雑さ / / / / / / |
(英) |
quantum computation / computational complexity / / / / / / |
文献情報 |
信学技報, vol. 115, no. 205, COMP2015-17, pp. 5-12, 2015年9月. |
資料番号 |
COMP2015-17 |
発行日 |
2015-08-25 (COMP) |
ISSN |
Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 |
著作権に ついて |
技術研究報告に掲載された論文の著作権は電子情報通信学会に帰属します.(許諾番号:10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) |
PDFダウンロード |
COMP2015-17 |