A physical and universal model of bosonic computations with Solovay-Kitaev theorem

arXiv:2609.40226 · quant-ph, cs.CC · Submitted 2026-09-30 · Read on arXiv

quant-ph, cs.CC

Submitted: 2026-09-30

Updated: 2026-09-30

Terminology

• BQP — 66× in this paper · explained in 2 episodes
• Trace — 24× in this paper · explained in 2 episodes
• Hilbert Space — 12× in this paper · explained in 2 episodes
• Trace Distance — 12× in this paper · explained in 3 episodes
• Accuracy — 8× in this paper · explained in 1 episode
• Bosonic Energy-Preserving Quantum Computation — 8× in this paper
• BQP-Completeness — 7× in this paper · explained in 2 episodes
• BQP-complete — 7× in this paper · explained in 2 episodes
• Robustness — 6× in this paper · explained in 5 episodes
• Hubbard Model — 3× in this paper · explained in 3 episodes
• Unitary Dynamics — 3× in this paper · explained in 2 episodes
• Verification — 3× in this paper · explained in 2 episodes
• Axioms — 2× in this paper · explained in 2 episodes
• Gibbs State — 2× in this paper · explained in 2 episodes
• Static Initialization Noise Error — 2× in this paper
• Algorithmic Primitives — 1× in this paper · explained in 1 episode
• Core — 1× in this paper · explained in 2 episodes
• Entanglement — 1× in this paper · explained in 4 episodes
• Fidelity — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Hybrid Models — 1× in this paper · explained in 2 episodes
• Initial Data — 1× in this paper · explained in 2 episodes
• Noisy Intermediate Scale Quantum — 1× in this paper
• Quantum Circuits — 1× in this paper · explained in 2 episodes

Sources

• Universal Hamiltonians for Exponentially Long Simulation
• Computing with many encoded logical qubits beyond break-even
• Mind the gaps: The fraught road to quantum advantage
• Fault-Tolerant Postselected Quantum Computation: Schemes
• Energy, Bosons and Computational Complexity
• Exponentially-improved effective descriptions of physical bosonic systems
• Energy-constrained diamond norm with applications to the uniform continuity of continuous variable channel capacities

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