Quantum computers are expected to surpass the computational capabilities of classical
computers during this decade and have transformative impact on numerous industry sectors …

The power of quantum computing technologies is based on the fundamentals of quantum
mechanics, such as quantum superposition, quantum entanglement, or the no-cloning …

Quantum state preparation is an important subroutine for quantum computing. We show that
any n-qubit quantum state can be prepared with a Θ (n)-depth circuit using only single-and …

Previously proposed quantum algorithms for solving linear systems of equations cannot be
implemented in the near term due to the required circuit depth. Here, we propose a hybrid …

Fuelled by increasing computer power and algorithmic advances, machine learning
techniques have become powerful tools for finding patterns in data. Quantum systems …

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 …

We propose a quantum algorithm to solve systems of nonlinear differential equations. Using
a quantum feature map encoding, we define functions as expectation values of parametrized …

Recently, increased computational power and data availability, as well as algorithmic
advances, have led machine learning (ML) techniques to impressive results in regression …

Quantum algorithms have been developed for efficiently solving linear algebra tasks.
However, they generally require deep circuits and hence universal fault-tolerant quantum …

Variational quantum algorithms have been proposed to solve static and dynamic problems
of closed many-body quantum systems. Here we investigate variational quantum simulation …