32 citations · 53 across the 3 of their papers we have counts for
14 papers
Near-optimal covariant quantum error-correcting codes from random unitaries with symmetries
Linghang Kong, Zi-Wen Liu
Quantum error correction and symmetries play central roles in quantum information science and physics. It is known that quantum error-correcting codes that obey (are covariant with…
Quantum error correction meets continuous symmetries: fundamental trade-offs and case studies
Zi-Wen Liu, Sisi Zhou
We systematically study the fundamental competition between quantum error correction (QEC) and continuous symmetries, two key notions in quantum information and physics, in a quant…
Global Heisenberg scaling in noisy and practical phase estimation
Masahito Hayashi, Zi-Wen Liu, Haidong Yuan
Heisenberg scaling characterizes the ultimate precision of parameter estimation enabled by quantum mechanics, which represents an important quantum advantage of both theoretical an…
Learning quantum data with the quantum Earth Mover's distance
Bobak Toussi Kiani, Giacomo De Palma, Milad Marvian +2
Quantifying how far the output of a learning algorithm is from its target is an essential task in machine learning. However, in quantum settings, the loss landscapes of commonly us…
Many-body quantum magic
Zi-Wen Liu, Andreas Winter
Magic (non-stabilizerness) is a necessary but "expensive" kind of "fuel" to drive universal fault-tolerant quantum computation. To properly study and characterize the origin of qua…
Symmetry-protected sign problem and magic in quantum phases of matter
Tyler D. Ellison, Kohtaro Kato, Zi-Wen Liu +1
We introduce the concepts of a symmetry-protected sign problem and symmetry-protected magic to study the complexity of symmetry-protected topological (SPT) phases of matter. In par…