Search Results - "Liu, Yupan"
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Quantum state testing beyond the polarizing regime and quantum triangular discrimination
Published 03-03-2023“…The complexity class Quantum Statistical Zero-Knowledge ($\mathsf{QSZK}$) captures computational difficulties of the time-bounded quantum state testing problem…”
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On estimating the trace of quantum state powers
Published 17-10-2024“…We investigate the computational complexity of estimating the trace of quantum state powers $\text{tr}(\rho^q)$ for an $n$-qubit mixed quantum state $\rho$,…”
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StoqMA meets distribution testing
Published 22-06-2021“…Proceedings of the 16th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2021), Leibniz International Proceedings in…”
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Space-bounded quantum state testing via space-efficient quantum singular value transformation
Published 09-08-2023“…Driven by exploring the power of quantum computation with a limited number of qubits, we present a novel complete characterization for space-bounded quantum…”
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Space-bounded quantum interactive proof systems
Published 31-10-2024“…We introduce two models of space-bounded quantum interactive proof systems, ${\sf QIPL}$ and ${\sf QIP_{\rm U}L}$. The ${\sf QIP_{\rm U}L}$ model, a…”
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Towards a quantum-inspired proof for IP = PSPACE
Published 05-11-2021“…Quantum Inf. Comput. 21(5&6): 377-386 (2021) We explore quantum-inspired interactive proof systems where the prover is limited. Namely, we improve on a result…”
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Quantum Merlin-Arthur proof systems for synthesizing quantum states
Published 03-03-2023“…Complexity theory typically focuses on the difficulty of solving computational problems using classical inputs and outputs, even with a quantum computer. In…”
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StoqMA vs. MA: the power of error reduction
Published 06-10-2020“…StoqMA characterizes the computational hardness of stoquastic local Hamiltonians, which is a family of Hamiltonians that does not suffer from the sign problem…”
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