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PhysRevX.8.021060.pdf634.06 kBAdobe PDF見る/開く
タイトル: Verification of Many-Qubit States
著者: Takeuchi, Yuki
Morimae, Tomoyuki
著者名の別形: 森前, 智行
発行日: Jun-2018
出版者: American Physical Society (APS)
誌名: Physical Review X
巻: 8
号: 2
論文番号: 02106
抄録: Verification is a task to check whether a given quantum state is close to an ideal state or not. In this paper, we show that a variety of many-qubit quantum states can be verified with only sequential single-qubit measurements of Pauli operators. First, we introduce a protocol for verifying ground states of Hamiltonians. We next explain how to verify quantum states generated by a certain class of quantum circuits. We finally propose an adaptive test of stabilizers that enables the verification of all polynomial-time-generated hypergraph states, which include output states of the Bremner-Montanaro-Shepherd-type instantaneous quantum polynomial time (IQP) circuits. Importantly, we do not make any assumption that the identically and independently distributed copies of the same states are given: Our protocols work even if some highly complicated entanglement is created among copies in any artificial way. As applications, we consider the verification of the quantum computational supremacy demonstration with IQP models, and verifiable blind quantum computing.
著作権等: Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.
URI: http://hdl.handle.net/2433/233000
DOI(出版社版): 10.1103/PhysRevX.8.021060
出現コレクション:学術雑誌掲載論文等

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