Boosting entanglement growth of many-body localization by superpositions of disorder

Many-body localization (MBL) can occur when strong disorders prevent an interacting system from thermalization. To study the dynamics of such systems, it is typically necessary to perform ensemble average over many different disorder configurations. Previous works have utilized algorithm in which profiles are mapped into a quantum ancilla. By preparing ancilla superposition state, parallelism be harnessed obtain single computation run. In this work, we modify by performing measurement on This enables determination conditional not only but also interference effect. Using phenomenological analysis based local integrals motion, demonstrate that protocol lead enhancement dephasing effect and boost entanglement growth for systems deep MBL phase. We present numerical simulations random XXZ model where smaller strength, beyond regime.