Triangle Criterion: a mixed-state magic criterion with applications in distillation and detection

arXiv:2512.16777 · quant-ph · Submitted 2025-12-18 · Read on arXiv

quant-ph

Submitted: 2025-12-18

Updated: 2026-04-20

Comments: 17 pages, 3 figures

Journal ref: PRX Quantum 7, 033016 (2026)

DOI: 10.1103/rcpf-8nh9

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Entanglement — 53× in this paper · explained in 4 episodes
• Distillation — 44× in this paper · explained in 2 episodes
• Stabilizer States — 25× in this paper · explained in 2 episodes
• Fidelity — 15× in this paper · explained in 2 episodes
• Post-Selection — 8× in this paper · explained in 2 episodes
• Trace — 4× in this paper · explained in 2 episodes
• Benchmarking — 2× in this paper · explained in 3 episodes
• Positive Partial Transposition — 2× in this paper
• Adaptation — 1× in this paper · explained in 1 episode
• Entanglement Distillation — 1× in this paper · explained in 2 episodes
• Multipartite Entanglement — 1× in this paper · explained in 2 episodes
• Phase Transitions — 1× in this paper · explained in 2 episodes
• Quantum Circuits — 1× in this paper · explained in 2 episodes
• Trace Distance — 1× in this paper · explained in 3 episodes

Sources

• On the Geometry of Stabilizer States
• Entanglement Detection with Variational Quantum Interference: Theory and Experiment
• Quantifying mixed-state entanglement via partial transpose and realignment moments
• Experimental multiparticle entanglement dynamics induced by decoherence
• The unbearable hardness of deciding about magic
• Basis-independent stabilizerness and maximally noisy magic states

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