Quantum Back-Erasing Reconstruction and Control

Jincheng Zhang

Published Sep 2, 2026• 0 citations

Abstract

This paper investigates the reconstruction and control of quantum decoherence through a novel approach of inverse back-erasure. Traditional decoherence control strategies primarily focus on mitigating the effects of environmental noise, often employing passive shielding or error correction techniques. This work proposes a proactive method utilizing feedback control to actively reverse the decoherence process, thereby enhancing the coherence of quantum states. The core concept involves precisely measuring the quantum system's interaction with its environment and applying corrective actions to counteract the detrimental effects of decoherence. We explore theoretical frameworks based on Hamiltonian engineering and feedback control theory, formulating a mathematical model for the system and outlining the control strategy. The central equation governing the process is: Δψ(t+Δt) = α(t) Δψ(t) + β(t) (H - η(t) ⋅ H') Δψ(t) where Δψ(t+Δt) is the quantum state at time t+Δt, α(t) is the decoherence factor, β(t) is the control factor, H is the Hamiltonian of the system, H' is the environmental Hamiltonian, and η(t) is the feedback control term. The goal is to manipulate β(t) and η(t) to minimize the effect of decoherence. The effectiveness of this approach is discussed in terms of coherence time extension and entanglement preservation. The research contributes a new paradigm for quantum control, offering potential advancements in quantum computing, quantum communication, and quantum sensing. ---

DOI: 10.5281/zenodo.22243373

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