{"ID":2858214,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2510.08299","arxiv_id":"2510.08299","title":"Quantum memory optimisation using finite-horizon, decoherence time and discounted mean-square performance criteria","abstract":"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.","short_abstract":"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 it...","url_abs":"https://arxiv.org/abs/2510.08299","url_pdf":"https://arxiv.org/pdf/2510.08299v1","authors":"[\"Igor G. Vladimirov\",\"Ian R. Petersen\",\"Guodong Shi\"]","published":"2025-10-09T14:51:08Z","proceeding":"quant-ph","tasks":"[\"quant-ph\",\"eess.SY\",\"math.OC\"]","methods":"[]","has_code":false}