On the Complexity of Finding Decoherence Free Subspaces

arXiv:2609.26769 · quant-ph, cs.CC, math-ph, math.MP · Submitted 2026-09-22 · Read on arXiv

quant-ph, cs.CC, math-ph, math.MP

Submitted: 2026-09-22

Updated: 2026-09-22

Terminology

• Hilbert Space — 14× in this paper · explained in 2 episodes
• Verification — 14× in this paper · explained in 2 episodes
• Consistency — 11× in this paper · explained in 3 episodes
• Spectral Gap — 8× in this paper · explained in 5 episodes
• Lindblad master equation — 4× in this paper · explained in 2 episodes
• Quantum Circuits — 4× in this paper · explained in 2 episodes
• Trace — 4× in this paper · explained in 2 episodes
• Quantum Merlin Arthur — 3× in this paper
• Trace Distance — 3× in this paper · explained in 3 episodes
• BQP — 2× in this paper · explained in 2 episodes
• Generalization — 2× in this paper · explained in 13 episodes
• Additivity — 1× in this paper · explained in 1 episode
• Combinatorial Optimization — 1× in this paper · explained in 2 episodes
• Frustration — 1× in this paper · explained in 2 episodes
• Unitary Dynamics — 1× in this paper · explained in 2 episodes
• Verifier — 1× in this paper · explained in 2 episodes

Sources

• Lindbladians with multiple steady states: theory and applications
• A direct algebraic proof for the non-positivity of Liouvillian spectral values in Markovian quantum dynamics
• Quantum Computational Complexity
• The Laplacian eigenvalues of graphs: a survey

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