Exploiting bias in optimal finite-time copying protocols
We study a finite-time cyclic copy protocol that creates persisting correlations between a memory and a data bit. The average work to copy the two states of the data bit consists of the mutual information created between the memory and data bit after copying, a cost due to the difference between the...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2025-02-01
|
| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.7.L012026 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832096509175267328 |
|---|---|
| author | Daan Mulder Pieter Rein ten Wolde Thomas E. Ouldridge |
| author_facet | Daan Mulder Pieter Rein ten Wolde Thomas E. Ouldridge |
| author_sort | Daan Mulder |
| collection | DOAJ |
| description | We study a finite-time cyclic copy protocol that creates persisting correlations between a memory and a data bit. The average work to copy the two states of the data bit consists of the mutual information created between the memory and data bit after copying, a cost due to the difference between the initial and final states of the memory bit, and a finite-time cost. At low copy speeds, the optimal initial distribution of the memory bit matches the bias in the expected outcome, set by the bias in the data bit and the copying accuracies. However, if both states of the data are copied with the same accuracy, then in the high-speed regime copying the unlikely data bit state becomes prohibitively costly with a biased memory; the optimal initial distribution is then pushed toward 50:50. Copying with unequal accuracies, at fixed copy-generated mutual information, yields an opposite yet more effective strategy. Here, the initial memory distribution becomes increasingly biased as the copy speed increases, drastically lowering the work and raising the maximum speed. This strategy is so effective that it induces a symmetry-breaking transition for an unbiased data bit. |
| format | Article |
| id | doaj-art-478aac024d8540d2af6104e22e1e20cd |
| institution | Kabale University |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-478aac024d8540d2af6104e22e1e20cd2025-02-05T15:06:58ZengAmerican Physical SocietyPhysical Review Research2643-15642025-02-0171L01202610.1103/PhysRevResearch.7.L012026Exploiting bias in optimal finite-time copying protocolsDaan MulderPieter Rein ten WoldeThomas E. OuldridgeWe study a finite-time cyclic copy protocol that creates persisting correlations between a memory and a data bit. The average work to copy the two states of the data bit consists of the mutual information created between the memory and data bit after copying, a cost due to the difference between the initial and final states of the memory bit, and a finite-time cost. At low copy speeds, the optimal initial distribution of the memory bit matches the bias in the expected outcome, set by the bias in the data bit and the copying accuracies. However, if both states of the data are copied with the same accuracy, then in the high-speed regime copying the unlikely data bit state becomes prohibitively costly with a biased memory; the optimal initial distribution is then pushed toward 50:50. Copying with unequal accuracies, at fixed copy-generated mutual information, yields an opposite yet more effective strategy. Here, the initial memory distribution becomes increasingly biased as the copy speed increases, drastically lowering the work and raising the maximum speed. This strategy is so effective that it induces a symmetry-breaking transition for an unbiased data bit.http://doi.org/10.1103/PhysRevResearch.7.L012026 |
| spellingShingle | Daan Mulder Pieter Rein ten Wolde Thomas E. Ouldridge Exploiting bias in optimal finite-time copying protocols Physical Review Research |
| title | Exploiting bias in optimal finite-time copying protocols |
| title_full | Exploiting bias in optimal finite-time copying protocols |
| title_fullStr | Exploiting bias in optimal finite-time copying protocols |
| title_full_unstemmed | Exploiting bias in optimal finite-time copying protocols |
| title_short | Exploiting bias in optimal finite-time copying protocols |
| title_sort | exploiting bias in optimal finite time copying protocols |
| url | http://doi.org/10.1103/PhysRevResearch.7.L012026 |
| work_keys_str_mv | AT daanmulder exploitingbiasinoptimalfinitetimecopyingprotocols AT pieterreintenwolde exploitingbiasinoptimalfinitetimecopyingprotocols AT thomaseouldridge exploitingbiasinoptimalfinitetimecopyingprotocols |