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Duke researchers have overcome hidden symmetries in the Tavis-Cummings model by adding a specific Hamiltonian term, enabling near-universal control for multi-qubit systems without individual addressing. This breakthrough expands operational capacity from roughly 66% to nearly 100%, offering a scalable pathway toward semi-universal quantum computation via shared harmonic oscillators.

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Duke University Team Models Tavis-Cummings Interaction for Global Qubit Control

Quantum ZeitgeistJune 15, 20263 min read

For more than two qubits, achieving complete control with the Tavis-Cummings interaction has been unexpectedly limited by a hidden symmetry. Now, adding a simple Hamiltonian term, Jz², overcomes this restriction, enabling semi-universal implementation of qubit operations respecting permutational and U symmetry. This advance offers a pathway towards scaling quantum computations by minimising individual qubit addressing.

Plato Deliyannis and Iván Martín at Duke University show that qubits become entangled via a shared connection to a harmonic oscillator, even without direct interaction, through the Tavis-Cummings interaction. Their characterisation reveals limitations imposed by an unexpected symmetry within the Tavis-Cummings Hamiltonian when using global control and a z field, but the addition…

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