Using tools from the representation theory of compact Lie groups we formulate a theory of
Barren Plateaus (BPs) for parameterized quantum circuits where the observable lies in the …

In recent years, research in quantum computing has largely focused on two approaches:
near-term intermediate-scale quantum (NISQ) computing and future fault-tolerant quantum …

The computational capabilities of near-term quantum computers are limited by the noisy
execution of gate operations and a limited number of physical qubits. Hybrid variational …

We present a quantum alternating operator ansatz (QAOA $^+ $) that solves a class of
linearly constrained optimization problems by evolving a quantum state within a Hilbert …

The problem of finding aperiodic low auto-correlation binary sequences (LABS) presents a
significant computational challenge, particularly as the sequence length increases. Such …

Continuous optimization problems arise in virtually all disciplines of quantitative research.
While convex optimization has been well-studied in recent decades, large-scale nonconvex …