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  1. A500 情報学部/情報学研究科・情報文化学部・情報科学研究科
  2. A500a 雑誌掲載論文
  3. 学術雑誌

Impossibility of Classically Simulating One-Clean-Qubit Model with Multiplicative Error

http://hdl.handle.net/2237/00028747
0c641f00-5708-49b0-82cf-bada43d526e2
名前 / ファイル ライセンス アクション
PhysRevLett120_200502.pdf PhysRevLett120_200502 (201.0 kB)
Item type 学術雑誌論文 / Journal Article(1)
公開日 2018-11-01
タイトル
タイトル Impossibility of Classically Simulating One-Clean-Qubit Model with Multiplicative Error
著者 Fujii, Keisuke

× Fujii, Keisuke

WEKO 87258

Fujii, Keisuke

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Kobayashi, Hirotada

× Kobayashi, Hirotada

WEKO 87259

Kobayashi, Hirotada

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Morimae, Tomoyuki

× Morimae, Tomoyuki

WEKO 87260

Morimae, Tomoyuki

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Nishimura, Harumichi

× Nishimura, Harumichi

WEKO 87261

Nishimura, Harumichi

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Tamate, Shuhei

× Tamate, Shuhei

WEKO 87262

Tamate, Shuhei

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Tani, Seiichiro

× Tani, Seiichiro

WEKO 87263

Tani, Seiichiro

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権利
権利情報 © 2018 American Physical Society
抄録
内容記述 The one-clean-qubit model (or the deterministic quantum computation with one quantum bit model) is a restricted model of quantum computing where all but a single input qubits are maximally mixed. It is known that the probability distribution of measurement results on three output qubits of the one-clean-qubit model cannot be classically efficiently sampled within a constant multiplicative error unless the polynomial-time hierarchy collapses to the third level [T. Morimae, K. Fujii, and J. F. Fitzsimons, Phys. Rev. Lett. 112, 130502 (2014)]. It was open whether we can keep the no-go result while reducing the number of output qubits from three to one. Here, we solve the open problem affirmatively. We also show that the third-level collapse of the polynomial-time hierarchy can be strengthened to the second-level one. The strengthening of the collapse level from the third to the second also holds for other subuniversal models such as the instantaneous quantum polynomial model [M. Bremner, R. Jozsa, and D. J. Shepherd, Proc. R. Soc. A 467, 459 (2011)] and the boson sampling model [S. Aaronson and A. Arkhipov, STOC 2011, p. 333]. We additionally study the classical simulatability of the one-clean-qubit model with further restrictions on the circuit depth or the gate types.
内容記述タイプ Abstract
出版者
出版者 American Physical Society
言語
言語 eng
資源タイプ
資源タイプresource http://purl.org/coar/resource_type/c_6501
タイプ journal article
DOI
関連識別子
識別子タイプ DOI
関連識別子 https://doi.org/10.1103/PhysRevLett.120.200502
ISSN(print)
収録物識別子タイプ ISSN
収録物識別子 0031-9007
ISSN(Online)
収録物識別子タイプ ISSN
収録物識別子 1079-7114
書誌情報 Physical Review Letters

巻 120, 号 20, p. 200502, 発行日 2018-05-17
著者版フラグ
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