We derive fundamental bounds on the maximal achievable precision in multiparameter
noisy quantum metrology, valid under the most general entanglement-assisted adaptive …

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 and symmetry arise in many areas of physics, including many-
body systems, metrology in the presence of noise, fault-tolerant computation, and …

Some form of quantum error correction is necessary to produce large-scale fault-tolerant
quantum computers and finds broad relevance in physics. Most studies customarily assume …

It has been recently shown that there exist universal fundamental limits to the accuracy and
efficiency of the transformation from noisy resource states to pure ones (eg, distillation) in …

Covariant codes are quantum codes such that a symmetry transformation on the logical
system could be realized by a symmetry transformation on the physical system, usually with …

Unitary equivariance is a natural symmetry that occurs in many contexts in physics and
mathematics. Optimization problems with such symmetry can often be formulated as …

Quantum information is scrambled via chaotic time evolution in many-body systems. The
recovery of initial information embedded locally in the system from the scrambled quantum …

Universality of local unitary transformations is one of the cornerstones of quantum computing
with many applications and implications that go beyond this field. However, it has recently …

Quantum computing has been a fascinating research field in quantum physics. Recent
progresses motivate us to study in depth the universal quantum computing models …