Symmetric Quantum Circuits - How Locality Restricts Realizable Unitaries in Symmetrical Systems

Join a seminar exploring how locality restricts realizable unitaries in the presence of symmetry in quantum circuits. Delve into fundamental concepts of quantum computing, examining how 2-local unitaries generate unitary transformations on composite systems. Learn why this universality breaks down when conservation laws and global continuous symmetries are present, and discover how ancilla qubits can help overcome these limitations in specific cases like rotationally-invariant unitaries on qubits using Heisenberg exchange interaction. Led by Duke University assistant professor Iman Marvian, whose expertise spans quantum information and computation theory, quantum circuits, algorithms, resource theories, thermodynamics, and quantum error suppression.