Quantum computational complexity

J Watrous - ar** topic: the theory of quantum
computing. It begins with the basics of classical theory of computation: Turing machines …

Quantum algorithmic measurement

D Aharonov, J Cotler, XL Qi - Nature communications, 2022 - nature.com
There has been recent promising experimental and theoretical evidence that quantum
computational tools might enhance the precision and efficiency of physical experiments …

Classically verifiable quantum advantage from a computational Bell test

GD Kahanamoku-Meyer, S Choi, UV Vazirani, NY Yao - Nature Physics, 2022 - nature.com
Existing experimental demonstrations of quantum computational advantage have had the
limitation that verifying the correctness of the quantum device requires exponentially costly …

The complexity of quantum states and transformations: from quantum money to black holes

S Aaronson - arxiv preprint arxiv:1607.05256, 2016 - arxiv.org
These are lecture notes from a weeklong course in quantum complexity theory taught at the
Bellairs Research Institute in Barbados, February 21-25, 2016. The focus is quantum circuit …

Quantum arthur–merlin games

C Marriott, J Watrous - computational complexity, 2005 - Springer
This paper studies quantum Arthur–Merlin games, which are Arthur–Merlin games in which
Arthur and Merlin can perform quantum computations and Merlin can send Arthur quantum …

Zero-knowledge against quantum attacks

J Watrous - Proceedings of the thirty-eighth annual ACM …, 2006 - dl.acm.org
This paper proves that several interactive proof systems are zero-knowledge against
general quantum attacks. This includes the well-known Goldreich-Micali-Wigderson …

Variational quantum algorithms for trace distance and fidelity estimation

R Chen, Z Song, X Zhao, X Wang - Quantum Science and …, 2021 - iopscience.iop.org
Estimating the difference between quantum data is crucial in quantum computing. However,
as typical characterizations of quantum data similarity, the trace distance and quantum …

Quantum computing for future real-time building HVAC controls

Z Deng, X Wang, B Dong - Applied Energy, 2023 - Elsevier
Buildings contribute to more than 70% of overall US electricity usage and greenhouse gas
(GHG) emissions. HVAC systems in buildings often consume more than 40% of the total …

Semidefinite programs for completely bounded norms

J Watrous - arxiv preprint arxiv:0901.4709, 2009 - arxiv.org
The completely bounded trace and spectral norms in finite dimensions are shown to be
expressible by semidefinite programs. This provides an efficient method by which these …