Tunable Non-Markovianity for Bosonic Quantum Memristors

TL;DR

This paper explores how to control the non-Markovian behavior of a bosonic mode via auxiliary qubits, enabling the engineering of tunable quantum memristors with potential applications in neuromorphic quantum computing.

Contribution

It introduces a method to manipulate non-Markovianity in a bosonic system using auxiliary qubits, facilitating the design of tunable quantum memristors.

Findings

Non-Markovianity can be controlled by adjusting qubit frequency.

Effective time-dependent decay rates influence cavity dynamics.

Tunable decay rates enable engineering of quantum memristors.

Abstract

We study the tunable control of the non-Markovianity of a bosonic mode due to its coupling 1 to a set of auxiliary qubits, both embedded in a thermal reservoir. Specifically, we consider a cavity 2 mode coupled to auxiliary qubits described by the Tavis-Cummings model. As a figure of merit, 3 we define the dynamical non-Markovianity as the tendency of a system to return to its initial state, 4 instead of evolving monotonically to its steady state. We study how this dynamical non-Markovianity 5 can be manipulated in terms of the qubit frequency. We find that the control of the auxiliary systems 6 affects the cavity dynamics as an effective time-dependent decay rate. Finally, we show how this 7 tunable time-dependent decay rate can be tuned to engineer bosonic quantum memristors, involving 8 memory effects that are fundamental for developing neuromorphic quantum technologies.