The problem of optimizing quantum gates to achieve fidelity below the error correction threshold is considered. An approach linking the iterative linear-quadratic regulator (iLQR) with quantum optimal control is proposed. The method is adapted for gate design on quantum systems, with constraints on control signals and their derivatives to ensure smoother pulses. Modeling of a single-qubit X gate and a two-qubit cross-resonance gate for fixed-frequency transmons, accounting for two- and three-level systems, is performed. High-fidelity results are obtained. The work demonstrates the effectiveness of classical regulators for synthesizing reliable quantum operations.
A quantum computer is like an orchestra of qubits, microscopic particles that can sound like 0 and 1 at the same time. The slightest tremor throws them off rhythm, generating errors. For the concert to happen, the conductor must deliver signals with jeweler's smoothness — any abrupt gesture destroys harmony. Faced with this challenge, scientists borrowed the iLQR method, originally developed for rocket landing and robot control.
This is how control pulses are born: they travel at the speed of light, and each curve is calculated to reduce entropy (a measure of chaos) to the limit. Tests on simple systems showed record accuracy — as if the orchestra played for the first time without a false note. And the smoothness of signals here is no less important than in spectroscopy, where the shape of the wave determines the unraveling of the secrets of matter.
🎯 Entropy — a concept from physics — today helps assess quantum noise. It's like coming up with a formula for scattered socks: the more ways they can be messy, the higher the entropy.
🎬 In the series 'The Expanse,' quantum computers use advanced algorithms — and methods like iLQR are turning such science fiction into reality.