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PreprintCC BY 4.0arXiv

Quantum Error-Corrected Memories Keep Proper Time

  • Sebastian P. Kish
  • Simon J. Devitt
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Abstract

What does quantum error correction do to relativistic proper time? We show that when two error-corrected quantum memories follow distinct worldlines and are controlled by local references, their local correction histories factor exactly from the proper-time difference between them. Error correction therefore does not erase time dilation: when the memories are compared, the accumulated difference appears as a relational phase rotation. During locally referenced operation this rotation is invisible to every local error syndrome; at discrete phases admitted by a code, the final relational evolution instead returns exactly as a deterministic logical gate, including an S-type Clifford gate at a π/2 excursion. These results connect fault-tolerant quantum information with relativistic clocks and establish protected quantum memories as a platform for preserving proper-time information and for long-coherence tests of quantum evolution involving relativistic proper time.

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Cite

BibTeXRIS
BibTeX
@misc{kish2026quantum,
  title = {{Quantum Error-Corrected Memories Keep Proper Time}},
  author = {Sebastian P. Kish and Simon J. Devitt},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.02786},
  eprint = {2610.02786},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.02786},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Quantum Error-Corrected Memories Keep Proper Time
AU  - Sebastian P. Kish
AU  - Simon J. Devitt
PY  - 2026
DA  - 2026/10/02
PB  - arXiv
DO  - 10.48550/arxiv.2610.02786
UR  - https://arxiv.org/abs/2610.02786
AB  - What does quantum error correction do to relativistic proper time? We show that when two error-corrected quantum memories follow distinct worldlines and are controlled by local references, their local correction histories factor exactly from the proper-time difference between them. Error correction therefore does not erase time dilation: when the memories are compared, the accumulated difference appears as a relational phase rotation. During locally referenced operation this rotation is invisible to every local error syndrome; at discrete phases admitted by a code, the final relational evolution instead returns exactly as a deterministic logical gate, including an S-type Clifford gate at a π/2 excursion. These results connect fault-tolerant quantum information with relativistic clocks and establish protected quantum memories as a platform for preserving proper-time information and for long-coherence tests of quantum evolution involving relativistic proper time.
ER  -