On page 5, in the second paragraph, the authors inadvertently included inaccurate information for the description of the analytical method.
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Experimental Equivalence Checking of Quantum Circuits by Nonlocality.
Phys Rev Lett
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University of Science and Technology of China, CAS Key Laboratory of Quantum Information, Hefei 230026, People's Republic of China.
The quantum circuit model is the most widely used theoretical model for quantum computing. Therefore, determining whether two quantum circuits whose internal structures cannot be seen have the same functionality will be a fundamental problem in future quantum industries, which however turns out to be QMA-hard. Here, based on a photonic system we experimentally implement the equivalence checking of two unknown quantum circuits with real unitary matrix representations, where quantum nonlocality plays a key role and allows us to measure an "average-case" distance between the two quantum circuits very efficiently.
View Article and Find Full Text PDFHow To Correct Erroneous Symmetry-Breaking in Coarse-Grained Constant-pH Simulations.
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Institute for Computational Physics, University of Stuttgart, Allmandring 3, Stuttgart 70569, Germany.
The constant-pH Monte Carlo method is a popular algorithm to study acid-base equilibria in coarse-grained simulations of charge regulating soft matter systems including weak polyelectrolytes and proteins. However, the method suffers from systematic errors in simulations with explicit ions, which lead to a symmetry-breaking between chemically equivalent implementations of the acid-base equilibrium. Here, we show that this artifact of the algorithm can be corrected a-posteriori by simply shifting the pH-scale.
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