The Gisin-Percival stochastic Schrödinger equation from standard quantum filtering theory

Gough, John E.

doi:10.1063/1.5007917

Cited by 1 publication

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“…In other words, the density matrix defined by ρ = E[|ψ t ψ t |] solves the Lindblad equation ( 14) when the state vector |ψ t is the solution to (12). We remark that here we have restricted our discussion to Lindblad operators that are Hermitian, but an analogous conclusion can be deduced when they are not Hermitian, leading to the so-called quantum filtering equations [24]. More generally, if [ Ĥ, L] 0, then we introduce a time-reversed state |ϕ t = e i Ĥt |ψ t , and let Lt = e i Ĥt L e −i Ĥt .…”

Section: Signal Processing Quantum Dynamicsmentioning

confidence: 98%

Open quantum dynamics for plant motions

Brody

2022

Sci Rep

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Stochastic Schrödinger equations that govern the dynamics of open quantum systems are given by the equations for signal processing. In particular, the Brownian motion that drives the wave function of the system does not represent noise, but provides purely the arrival of new information. Thus the wave function is guided by the optimal signal detection about the conditions of the environments under noisy observations. This behaviour is similar to biological systems that detect environmental cues, process this information, and adapt to them optimally by minimising uncertainties about the conditions of their environments. It is postulated that information-processing capability is a fundamental law of nature, and hence that models describing open quantum systems can equally be applied to biological systems to model their dynamics. For illustration, simple stochastic models are considered to capture heliotropic and gravitropic motions of plants. The advantage of such dynamical models is that they allow for the quantification of information processed by the plants. By considering the consequence of information erasure, it is argued that biological systems can process environmental signals relatively close to the Landauer limit of computation, and that loss of information must lie at the heart of ageing in biological systems.

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Section: Signal Processing Quantum Dynamicsmentioning

confidence: 98%

Open quantum dynamics for plant motions

Brody

2022

Sci Rep

View full text Add to dashboard Cite

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The Gisin-Percival stochastic Schrödinger equation from standard quantum filtering theory

Cited by 1 publication

References 26 publications

Open quantum dynamics for plant motions

Open quantum dynamics for plant motions

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