Quantum memory optimisation using finite-horizon, decoherence time and discounted mean-square performance criteria
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866911200230506496 |
|---|---|
| author | Vladimirov, Igor G. Petersen, Ian R. Shi, Guodong |
| author_facet | Vladimirov, Igor G. Petersen, Ian R. Shi, Guodong |
| contents | This paper is concerned with open quantum memory systems for approximately retaining quantum information, such as initial dynamic variables or quantum states to be stored over a bounded time interval. In the Heisenberg picture of quantum dynamics, the deviation of the system variables from their initial values lends itself to closed-form computation in terms of tractable moment dynamics for open quantum harmonic oscillators and finite-level quantum systems governed by linear or quasi-linear Hudson-Parthasarathy quantum stochastic differential equations, respectively. This tractability is used in a recently proposed optimality criterion for varying the system parameters so as to maximise the memory decoherence time when the mean-square deviation achieves a given critical threshold. The memory decoherence time maximisation approach is extended beyond the previously considered low-threshold asymptotic approximation and to Schrödinger type mean-square deviation functionals for the reduced system state governed by the Lindblad master equation. We link this approach with the minimisation of the mean-square deviation functionals at a finite time horizon and with their discounted version which quantifies the averaged performance of the quantum system as a temporary memory under a Poisson flow of storage requests. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_08299 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum memory optimisation using finite-horizon, decoherence time and discounted mean-square performance criteria Vladimirov, Igor G. Petersen, Ian R. Shi, Guodong Quantum Physics Systems and Control Optimization and Control 81Q93, 81S25, 81S05, 81S22, 81P16, 15A16, 15A24, 49N35, 93B52, 49K15 This paper is concerned with open quantum memory systems for approximately retaining quantum information, such as initial dynamic variables or quantum states to be stored over a bounded time interval. In the Heisenberg picture of quantum dynamics, the deviation of the system variables from their initial values lends itself to closed-form computation in terms of tractable moment dynamics for open quantum harmonic oscillators and finite-level quantum systems governed by linear or quasi-linear Hudson-Parthasarathy quantum stochastic differential equations, respectively. This tractability is used in a recently proposed optimality criterion for varying the system parameters so as to maximise the memory decoherence time when the mean-square deviation achieves a given critical threshold. The memory decoherence time maximisation approach is extended beyond the previously considered low-threshold asymptotic approximation and to Schrödinger type mean-square deviation functionals for the reduced system state governed by the Lindblad master equation. We link this approach with the minimisation of the mean-square deviation functionals at a finite time horizon and with their discounted version which quantifies the averaged performance of the quantum system as a temporary memory under a Poisson flow of storage requests. |
| title | Quantum memory optimisation using finite-horizon, decoherence time and discounted mean-square performance criteria |
| topic | Quantum Physics Systems and Control Optimization and Control 81Q93, 81S25, 81S05, 81S22, 81P16, 15A16, 15A24, 49N35, 93B52, 49K15 |
| url | https://arxiv.org/abs/2510.08299 |