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- W2759790721 abstract "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." @default.
- W2759790721 created "2017-10-06" @default.
- W2759790721 creator A5077655613 @default.
- W2759790721 creator A5085793321 @default.
- W2759790721 date "2018-06-07" @default.
- W2759790721 modified "2023-10-17" @default.
- W2759790721 title "Verification of Many-Qubit States" @default.
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- W2759790721 doi "https://doi.org/10.1103/physrevx.8.021060" @default.
- W2759790721 hasPublicationYear "2018" @default.
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