Quantum Error-Corrected Non-Markovian Metrology
Quantum metrology aims to maximize measurement precision on quantum systems, with a wide range of applications in quantum sensing. Achieving the Heisenberg limit (HL)—the fundamental precision bound set by quantum mechanics—is often hindered by noise-induced decoherence, which typically reduces achi...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2025-08-01
|
| Series: | PRX Quantum |
| Online Access: | http://doi.org/10.1103/wfyl-wtz3 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850038912227999744 |
|---|---|
| author | Zachary Mann Ningping Cao Raymond Laflamme Sisi Zhou |
| author_facet | Zachary Mann Ningping Cao Raymond Laflamme Sisi Zhou |
| author_sort | Zachary Mann |
| collection | DOAJ |
| description | Quantum metrology aims to maximize measurement precision on quantum systems, with a wide range of applications in quantum sensing. Achieving the Heisenberg limit (HL)—the fundamental precision bound set by quantum mechanics—is often hindered by noise-induced decoherence, which typically reduces achievable precision to the standard quantum limit (SQL). While quantum error correction (QEC) can recover the HL under Markovian noise, its applicability to non-Markovian noise remains less explored. In this work, we analyze a hidden Markov model (HMM) in which a quantum probe, coupled to an inaccessible environment, undergoes joint evolution described by Lindbladian dynamics, with the inaccessible degrees of freedom serving as a memory. We derive generalized Knill-Laflamme conditions for the HMM and establish three types of sufficient conditions for achieving the HL under non-Markovian noise using QEC. Additionally, we demonstrate the attainability of the SQL when these sufficient conditions are violated, by analytical solutions for special cases and numerical methods for general scenarios. Our results not only extend prior QEC frameworks for metrology but also provide new insights into precision limits under realistic noise conditions. |
| format | Article |
| id | doaj-art-7e32205db7554e64bde942fa2308a99a |
| institution | DOAJ |
| issn | 2691-3399 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | PRX Quantum |
| spelling | doaj-art-7e32205db7554e64bde942fa2308a99a2025-08-20T02:56:28ZengAmerican Physical SocietyPRX Quantum2691-33992025-08-016303032110.1103/wfyl-wtz3Quantum Error-Corrected Non-Markovian MetrologyZachary MannNingping CaoRaymond LaflammeSisi ZhouQuantum metrology aims to maximize measurement precision on quantum systems, with a wide range of applications in quantum sensing. Achieving the Heisenberg limit (HL)—the fundamental precision bound set by quantum mechanics—is often hindered by noise-induced decoherence, which typically reduces achievable precision to the standard quantum limit (SQL). While quantum error correction (QEC) can recover the HL under Markovian noise, its applicability to non-Markovian noise remains less explored. In this work, we analyze a hidden Markov model (HMM) in which a quantum probe, coupled to an inaccessible environment, undergoes joint evolution described by Lindbladian dynamics, with the inaccessible degrees of freedom serving as a memory. We derive generalized Knill-Laflamme conditions for the HMM and establish three types of sufficient conditions for achieving the HL under non-Markovian noise using QEC. Additionally, we demonstrate the attainability of the SQL when these sufficient conditions are violated, by analytical solutions for special cases and numerical methods for general scenarios. Our results not only extend prior QEC frameworks for metrology but also provide new insights into precision limits under realistic noise conditions.http://doi.org/10.1103/wfyl-wtz3 |
| spellingShingle | Zachary Mann Ningping Cao Raymond Laflamme Sisi Zhou Quantum Error-Corrected Non-Markovian Metrology PRX Quantum |
| title | Quantum Error-Corrected Non-Markovian Metrology |
| title_full | Quantum Error-Corrected Non-Markovian Metrology |
| title_fullStr | Quantum Error-Corrected Non-Markovian Metrology |
| title_full_unstemmed | Quantum Error-Corrected Non-Markovian Metrology |
| title_short | Quantum Error-Corrected Non-Markovian Metrology |
| title_sort | quantum error corrected non markovian metrology |
| url | http://doi.org/10.1103/wfyl-wtz3 |
| work_keys_str_mv | AT zacharymann quantumerrorcorrectednonmarkovianmetrology AT ningpingcao quantumerrorcorrectednonmarkovianmetrology AT raymondlaflamme quantumerrorcorrectednonmarkovianmetrology AT sisizhou quantumerrorcorrectednonmarkovianmetrology |