Universal relations connect asymptotic equal-time spin correlations, dynamical structure factor, and contact density in long-range quantum spin chains via effective field theory and operator product expansion, with numerical verification.
Trapped-ion quantum computing: Progress and challenges
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Resonant two-magnon interactions in long-range spin chains yield Efimov three-magnon states for alpha in (2, 2.89) and semi-super Efimov states at alpha=2, confirmed by numerical solution of the Skorniakov-Ter-Martirosian equation.
Long-range interactions in quantum spin chains enable the Efimov effect for magnons by inducing continuous scale invariance in two-body states that becomes discrete in the three-body problem.
Proposes entangled vibrational qubits in linear Paul traps for detecting high-frequency gravitational waves via graviton-photon conversion or relative motion, with N-squared sensitivity enhancement.
An error-resilient gate search scheme using multi-objective optimization and pulse symmetries enables microsecond two-qubit gates with fidelities approaching 99.9% in linear ion traps of up to 50 ions.
Soft decoding with analog measurement data raises repetition-code thresholds by 25% and reduces error rates up to 30x on superconducting qubits, with one byte per shot sufficient for near-optimal performance.
Reviews paradigmatic entanglement quantifiers and state-of-the-art detection/certification methods, with emphasis on assumptions about states and measurements.
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Error-Resilient Fast Entangling Gates for Scalable Ion-Trap Quantum Processors
An error-resilient gate search scheme using multi-objective optimization and pulse symmetries enables microsecond two-qubit gates with fidelities approaching 99.9% in linear ion traps of up to 50 ions.