Stabilizer Rényi entropies and Pauli spectrum cumulants show universal power-law scaling with driving rate in slow processes across quantum phase transitions, with the logarithmic Pauli spectrum asymptotically Gaussian, demonstrated in the transverse-field Ising model and long-range Kitaev models.
Magic Steady State Production: Non-Hermitian, Dissipative, and Stochastic Pathways
2 Pith papers cite this work. Polarity classification is still indexing.
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abstract
Universal quantum computers require entanglement and non-stabilizerness, a resource known as \textit{quantum magic}. Here, we introduce a protocol that prepares magic steady states by leveraging non-Hermitian dynamics, which, contrary to unitary dynamics, can host pure-state attractors. By studying the dissipative qubit, we find the optimal parameters to prepare $|H\rangle$ and $|T\rangle$ steady states. Interestingly, this approach does not require knowledge or preparation of a particular initial state, since all the states of the Bloch sphere converge to the engineered target steady state. We also consider the addition of classical noise in the anti-hermitian part and provide the regimes for which the noisy dynamics still converges to high magic states. We also introduce a dissipative protocol to prepare magic steady states, compare the approaches with magic state cultivation and provide a particular realization of the non-Hermitian scheme in a cat qubit.
fields
quant-ph 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Stochastic noise in non-Hermitian qubit systems away from exceptional points allows for highly efficient entanglement generation on timescales shorter than Hermitian or EP-based methods, independent of qubit number.
citing papers explorer
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Universal Non-stabilizerness Dynamics Across Quantum Phase Transitions
Stabilizer Rényi entropies and Pauli spectrum cumulants show universal power-law scaling with driving rate in slow processes across quantum phase transitions, with the logarithmic Pauli spectrum asymptotically Gaussian, demonstrated in the transverse-field Ising model and long-range Kitaev models.
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Entanglement Dynamics with a Stochastic Non-Hermitian Hamiltonian away from Exceptional Points
Stochastic noise in non-Hermitian qubit systems away from exceptional points allows for highly efficient entanglement generation on timescales shorter than Hermitian or EP-based methods, independent of qubit number.