Controllability of Qubits Under Global Control via Tavis-Cummings Interaction
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[Submitted on 11 Jun 2026]
Right out the toaster. Reliable, with some real depth.
Summary
This paper studies the controllability of a system of qubits under global control, where qubits are identically coupled to a single bosonic mode via the Tavis-Cummings (TC) interaction. The authors characterize the group of realizable unitaries using the TC interaction together with a global z field (J_z). They find that for n>2 qubits, realizable unitaries are restricted by an "accidental" symmetry distinct from standard U(1) and permutational symmetries. However, adding the Hamiltonian J_z^2 breaks this accidental symmetry and achieves semi-universality, allowing implementation of arbitrary unitaries that respect permutational and U(1) symmetry, subject to certain constraints.
Key quotes
· 5 pulledWe study the controllability of a system of qubits under global control, where control pulses act identically on all qubits.
Although the qubits do not interact directly with one another, they can become entangled through their common coupling to the bosonic mode.
We show that for n>2 qubits the set of realizable unitaries is restricted by an 'accidental' symmetry of the TC Hamiltonian, distinct from its 'standard' U(1) and permutational symmetries.
We find that the Hamiltonian J_z^2 breaks this accidental symmetry and, together with the TC interaction and J_z, achieves semi-universality.
In a companion paper, we further analyze this remarkable accidental symmetry and show that it can be understood through Schwinger's bosonic model of angular momentum.
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