Tag: SO(3)
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Twice Around To Return Home: Hidden Reset Button For Spins And Qubits
Introduction: A Hidden Reset Button in Rotations Rotations govern a vast array of physical systems, from classical gyroscopes to quantum qubits. In three dimensions, the mathematical language describing these motions is the rotation group SO(3) for classical objects and its quantum counterpart SU(2). A striking and practical insight emerges when we consider walks through these…
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Twice Around To Return Home: A Hidden Reset Button for Spins and Qubits
Introduction: A surprising reset in the world of rotations Rotations lie at the heart of much of modern science and technology. From the precession of nuclear spins in NMR machines to the precise control of qubits in quantum computers, many physical systems evolve through a series of rotations. These sequences can be imagined as walks…
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Twice Around To Return Home: The Hidden Reset Button for Spins and Qubits
Introduction: A surprising reset for complex rotations Rotations are everywhere in science and technology. Gyroscopes, magnetic spins, and quantum bits (qubits) each follow sequences of twists and turns that can be described as walks on the rotation groups SO(3) for classical objects and SU(2) for quantum systems. A provocative question arises: given a long, tangled…