High-fidelity State Transfer Between Leaky Quantum Memories
Daniel Soh, Eric Chatterjee, Matt Eichenfield

TL;DR
This paper develops optimal control solutions for high-fidelity quantum state transfer between two different quantum memories, demonstrating nearly 96% fidelity in optomechanical systems despite losses and asymmetries.
Contribution
It introduces an analytical method using the SLH formalism to optimize quantum state transfer between disparate memories, accounting for realistic losses and asymmetries.
Findings
Achieved 96% quantum state transfer fidelity in optomechanical systems.
Derived explicit optimal control solutions for quantum state transfer.
Quantified effects of losses and asymmetries on transfer fidelity.
Abstract
We derive the optimal analytical quantum-state-transfer control solutions for two disparate quantum memory blocks. Employing the SLH formalism description of quantum network theory, we calculate the full quantum dynamics of system populations, which lead to the optimal solution for the highest quantum fidelity attainable. We show that, for the example where the mechanical modes of two optomechanical oscillators act as the quantum memory blocks, their optical modes and a waveguide channel connecting them can be used to achieve a quantum state transfer fidelity of 96% with realistic parameters using our derived optimal control solution. The effects of the intrinsic losses and the asymmetries in the physical memory parameters are discussed quantitatively.
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