Quantum

Simultaneous Circuit Tests for Finite Reversible Models of Quantum Control

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Based on a feed excerpt; full article content has not been acquired. Source evidence retrieved 07/10/2026, 04:13:24 UTC.

Briefings

A new finite reversible model class approximates quantum gates by sharing transition tables between a single controller and a preparation law. A four-frame qubit example shows a strict separation between fitting two circuits individually versus fitting them jointly, while a larger benchmark with 464 frames and a phase symmetry reveals a sharp repeated-circuit horizon where one controller stays within probability error 1/3 through 192 blocks but every allowed controller violates this threshold by block 193. A separate controller successfully reproduces all 8,190 nonempty Hadamard-phase words of length at most twelve within the same tolerance. The study derives finite-window spectral obstructions and finite-shot confidence tests, illustrated by a reproducible sampling experiment, but conclusions concern only the stated model classes and do not establish universal memory bounds or physical hardware discrepancies.

Key points

• A finite reversible model class allows a single controller and one preparation law to reproduce an entire collection of circuit probabilities by sharing transition tables.
• In a four-frame qubit example, fitting two circuits individually is strictly separated from fitting them jointly, demonstrating a sharp horizon for joint certification.

Context and limitations

The study's conclusions apply only to the stated finite reversible model classes and do not establish universal memory bounds or a discrepancy for physical quantum hardware.

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