PreprintCC BY 4.0arXiv
Memory Separations from a Collective-Spin Quantum Register
Abstract
A spin one-half driven only by total-spin operators generates a renewal process in which one interevent time n∗ is forbidden while all others occur. No classical hidden Markov model reproduces it with fewer than 1+√(n∗) states, an unbounded separation whose only resource is one relative phase of π. With K amplitudes the same interference yields K(K+1)/2 decay channels, and for positive weights and generic rates the classical cost is exactly K(K+1)/2 states. Both are realized by a depth-three circuit whose parameter count does not grow with the register.
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BibTeX
@misc{slim2026memory,
title = {{Memory Separations from a Collective-Spin Quantum Register}},
author = {Jamal Slim},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.08038},
eprint = {2610.08038},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.08038},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Memory Separations from a Collective-Spin Quantum Register
AU - Jamal Slim
PY - 2026
DA - 2026/10/06
PB - arXiv
DO - 10.48550/arxiv.2610.08038
UR - https://arxiv.org/abs/2610.08038
AB - A spin one-half driven only by total-spin operators generates a renewal process in which one interevent time n^∗ is forbidden while all others occur. No classical hidden Markov model reproduces it with fewer than 1+√(n^∗) states, an unbounded separation whose only resource is one relative phase of π. With K amplitudes the same interference yields K(K+1)/2 decay channels, and for positive weights and generic rates the classical cost is exactly K(K+1)/2 states. Both are realized by a depth-three circuit whose parameter count does not grow with the register.
ER -