Paired Return of Phase and Excitation in a Four-Port Quantum Contact

We study what can be inferred from a coherent two-copy return on a qubit code. An antisymmetric input reduces the return operator to its determinant. A fixed measurement recovers the mean complex amplitude and the joint code-return probability while retaining loss. For diagonal masks whose single-pass ensemble is a complete dephasing, we derive a dimension-dependent lower bound on incorrect-pair return. A four-port tetrahedral construction attains the bound 1/3 on every incorrect pair and every input. We construct exact counterexamples to recovery of coherence from excitation counts and to calibration without a loss standard. An independent one-copy measurement, implemented either with a spectator qubit or four unentangled inputs, quantifies the deviation of the successful operation from a target isometry. The accompanying matrix calculations, circuit replays and prospective statistical tests specify how to distinguish the modeled alternatives. The results concern declared finite-dimensional models. No laboratory data are used.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-04
DOI
https://doi.org/10.5281/zenodo.23958987
Primary Topic
Quantum Information and Cryptography
Type
preprint
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preprint

Paired Return of Phase and Excitation in a Four-Port Quantum Contact

Antyshev
Zenodo (CERN European Organization for Nuclear Research)
Quantum Information and Cryptography
preprint

Paired Return of Phase and Excitation in a Four-Port Quantum Contact

Antyshev
preprint en

Abstract

We study what can be inferred from a coherent two-copy return on a qubit code. An antisymmetric input reduces the return operator to its determinant. A fixed measurement recovers the mean complex amplitude and the joint code-return probability while retaining loss. For diagonal masks whose single-pass ensemble is a complete dephasing, we derive a dimension-dependent lower bound on incorrect-pair return. A four-port tetrahedral construction attains the bound 1/3 on every incorrect pair and every input. We construct exact counterexamples to recovery of coherence from excitation counts and to calibration without a loss standard. An independent one-copy measurement, implemented either with a spectator qubit or four unentangled inputs, quantifies the deviation of the successful operation from a target isometry. The accompanying matrix calculations, circuit replays and prospective statistical tests specify how to distinguish the modeled alternatives. The results concern declared finite-dimensional models. No laboratory data are used.

Zenodo (CERN European Organization for Nuclear Research)
Quantum Information and Cryptography
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