Abstract
A spin one-half driven only by total-spin operators generates a renewal process in which one interevent time $n^\ast$ is forbidden while all others occur. No classical hidden Markov model reproduces it with fewer than $1+\sqrt{n^\ast}$ 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.
Keywords
Subject
Publication details
- Journal
- Not available
- Open access
- Green open access
Cite this article
APA 7
Slim, J. (2026). Memory Separations from a Collective-Spin Quantum Register. https://omanscience.com/en/articles/memory-separations-from-a-collective-spin-quantum-register
MLA 9
Slim, Jamal. "Memory Separations from a Collective-Spin Quantum Register." https://omanscience.com/en/articles/memory-separations-from-a-collective-spin-quantum-register.
Chicago (author–date)
Slim, Jamal. 2026. "Memory Separations from a Collective-Spin Quantum Register." https://omanscience.com/en/articles/memory-separations-from-a-collective-spin-quantum-register.
Harvard
Slim, J. (2026) 'Memory Separations from a Collective-Spin Quantum Register', Available at: https://omanscience.com/en/articles/memory-separations-from-a-collective-spin-quantum-register.
Vancouver
Slim J. Memory Separations from a Collective-Spin Quantum Register. https://omanscience.com/en/articles/memory-separations-from-a-collective-spin-quantum-register
IEEE
J. Slim, "Memory Separations from a Collective-Spin Quantum Register," https://omanscience.com/en/articles/memory-separations-from-a-collective-spin-quantum-register.