To use quantum systems for technological applications one first needs to preserve their
coherence for macroscopic time scales, even at finite temperature. Quantum error correction …

I will give an overview of what I see as some of the most important future directions in the
theory of fault-tolerant quantum computation. In particular, I will give a brief summary of the …

We present a comprehensive architectural analysis for a proposed fault-tolerant quantum
computer based on cat codes concatenated with outer quantum error-correcting codes. For …

In this perspective we discuss conditions under which it would be possible for a modest fault-
tolerant quantum computer to realize a runtime advantage by executing a quantum …

To run large-scale algorithms on a quantum computer, error-correcting codes must be able
to perform a fundamental set of operations, called logic gates, while isolating the encoded …

We propose a new class of error-correcting dynamic codes in two and three dimensions that
has no explicit connection to any parent subsystem code. The two-dimensional code, which …

Leading approaches to fault-tolerant quantum computation dedicate a significant portion of
the hardware to computational factories that churn out high-fidelity ancillas called magic …

Estimating and reducing the overhead of fault-tolerance (FT) schemes is a crucial step
toward realizing scalable quantum computers. Of particular interest are schemes based on …

A prerequisite for many quantum information processing tasks to truly surpass classical
approaches is an efficient procedure to encode classical data in quantum superposition …

In this paper we introduce a general fault-tolerant quantum error correction protocol using
flag circuits for measuring stabilizers of arbitrary distance codes. In addition to extending flag …