According to a fundamental result in quantum computing, any unitary transformation on a
composite system can be generated using so-called 2-local unitaries that act only on two …

An outstanding challenge for quantum information processing using bosonic systems is
Gaussian errors such as excitation loss and added thermal noise errors. Thus, bosonic …

The generation of k-designs (pseudorandom distributions that emulate the Haar measure up
to k moments) with local quantum circuit ensembles is a problem of fundamental importance …

If only limited control over a multiparticle quantum system is available, a viable method to
characterize correlations is to perform random measurements and consider the moments of …

We introduce a flexible and graphically intuitive framework that constructs complex quantum
error correction codes from simple codes or states, generalizing code concatenation. More …

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 …

We present a simple proof of the approximate Eastin-Knill theorem, which connects the
quality of a quantum error-correcting code (QECC) with its ability to achieve a universal set …