Extensibly Causally Separable Processes Admit Realizations as Quantum Circuits with Classical Control of Causal Order

arXiv:2609.18559 · quant-ph · Submitted 2026-09-16 · Read on arXiv

quant-ph

Submitted: 2026-09-16

Updated: 2026-09-16

Terminology

• Trace — 37× in this paper · explained in 2 episodes
• Quantum Circuits — 8× in this paper · explained in 2 episodes
• Consistency — 6× in this paper · explained in 3 episodes
• Hilbert Space — 3× in this paper · explained in 2 episodes
• Supplemental Material — 3× in this paper
• Generalization — 1× in this paper · explained in 13 episodes

Sources

• Experimental Superposition of Orders of Quantum Gates
• Quantum computations without definite causal structure
• Routing Quantum Control of Causal Order
• Quantum computation with indefinite causal structures
• Strict hierarchy between parallel, sequential, and indefinite-causal-order strategies for channel discrimination
• Parameter estimation via indefinite causal structures
• Optimal Strategies of Quantum Metrology with a Strict Hierarchy
• Optimal Strategies for Multi-parameter Quantum Metrology
• Correlations and quantum circuits with dynamical causal order
• Indefinite Quantum Causality
• Reassessing the advantage of indefinite causal orders for quantum metrology

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