Quantum filter for a non-Markovian single qubit system
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In this paper, a quantum filter for estimating the states of a non-Markovian qubit system is presented in an augmented Markovian system framework including both the qubit system of interest and multi-ancillary systems for representing the internal modes of the non-Markovian environment. The colored noise generated by the multi-ancillary systems disturbs the qubit system via a direct interaction. The resulting non-Markovian dynamics of the qubit is determined by a memory kernel function arising from the dynamics of the ancillary system. In principle, colored noise with arbitrary power spectrum can be generated by a combination of Lorentzian noises. Hence, the quantum filter can be constructed for the qubit disturbed by arbitrary colored noise and the conditional state of the qubit system can be obtained by tracing out the multi-ancillary systems.
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Non-Markovian dynamics better preserve quantum information due to backflow of quantum information from the reservoir to the central spin.
“Furthermore, it is well-known that non-Markovian dynamics better preserve quantum information, as non-Markovianity induces a backflow of quantum information from the reservoir to the central spin [106,107,108,109,110,111,112,113,114,115,116].”
From Quantum Models of Consciousness from a Quantum Information Science Perspective (2025) · cites this paper as [114]
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Feedback Tracking Control of Non-Markovian Quantum Systems
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- Authors
- Xue, S., James, M. R., Shabani, A., Ugrinovskii, V., & Petersen, I. R.
- Affiliations
- Australian Defence Force Academy (AU)
- Australian National University (AU)
- Google (United States) (US)
- Venue
- 2015 IEEE Conference on Control Applications (CCA)
- Publisher
- IEEE
- Published
- 2015-09
- Volume
- 89
- Pages
- 19-23
- ISSN
- 1085-1992 (ISSN-L)
- OpenAlex
- W1935872714
- Cited by
- 6
- References
- 17
- Citations by year
- 2025: 1 · 2017: 2 · 2016: 2 · 2015: 1
- FWCI
- 0.94
- Type
- conference paper
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- The proceedings of the IEEE Conference on Control Applications/The proceedings of the ... IEEE Conference on Control Applications (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Keywords
- quantum filtering, non-Markovian dynamics, single qubit, state estimation, ancillary systems, colored noise, memory kernel, Lorentzian noise, conditional states, quantum memory
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