We discuss how quantum computation can be applied to financial problems, providing an
overview of current approaches and potential prospects. We review quantum optimization …

Quantum random walk is the quantum counterpart of a classical random walk. The classical
random walk concept has long been used as a computational framework for designing …

Realizing the potential of quantum computing will require achieving sufficiently low logical
error rates. Many applications call for error rates in the $10^{-15} $ regime, but state-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 …

We significantly reduce the cost of factoring integers and computing discrete logarithms in
finite fields on a quantum computer by combining techniques from Shor 1994, Griffiths-Niu …

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 …

Optimization, sampling and machine learning are topics of broad interest that have inspired
significant developments and new approaches in quantum computing. One such approach …

Realizing the potential of quantum computing requires sufficiently low logical error rates.
Many applications call for error rates as low as 10− 15 (refs.,,,,,,–), but state-of-the-art …

Quantum error correction is widely thought to be the key to fault-tolerant quantum
computation. However, determining the most suited encoding for unknown error channels or …

Lattice-surgery protocols allow for the efficient implementation of universal gate sets with two-
dimensional topological codes where qubits are constrained to interact with one another …