Significant effort in applied quantum computing has been devoted to the problem of ground
state energy estimation for molecules and materials. Yet, for many applications of practical …

Determining the ground and excited state properties of materials is considered one of the
most promising applications of quantum computers. On near-term hardware, the limiting …

Quantum phase estimation (QPE) is a key quantum algorithm, which has been widely
studied as a method to perform chemistry and solid-state calculations on future fault-tolerant …

We present shadow spectroscopy as a simulator-agnostic quantum algorithm for estimating
energy gaps using very few circuit repetitions (shots) and no extra resources (ancilla qubits) …

Many quantum algorithms rely on the measurement of complex quantum amplitudes.
Standard approaches to obtain the phase information, such as the Hadamard test, give rise …

Quantum computers offer the potential to simulate nuclear processes that are classically
intractable. With the goal of understanding the necessary quantum resources, we employ …

Quantum error mitigation strategies are essential for enhancing the accuracy and reliability
of quantum chemistry algorithms on noisy intermediate-scale quantum devices. Among …

Many important physical and mathematical problems do not allow analytical treatment, and
are difficult to solve numerically on classical computers. Quantum computing is anticipated …

An algorithm to classify a general Hermitian matrix according to its signature (positive semi-
definite, negative or indefinite) is presented. It builds on the Quantum Phase Estimation …