Crosstalk-Robust Quantum Control in Multimode Bosonic Systems
arxiv(2024)
摘要
High-coherence superconducting cavities offer a hardware-efficient platform
for quantum information processing. To achieve universal operations of these
bosonic modes, the requisite nonlinearity is realized by coupling them to a
transmon ancilla. However, this configuration is susceptible to crosstalk
errors in the dispersive regime, where the ancilla frequency is Stark-shifted
by the state of each coupled bosonic mode. This leads to a frequency mismatch
of the ancilla drive, lowering the gate fidelities. To mitigate such coherent
errors, we employ quantum optimal control to engineer ancilla pulses that are
robust to the frequency shifts. These optimized pulses are subsequently
integrated into a recently developed echoed conditional displacement (ECD)
protocol for executing single- and two-mode operations. Through numerical
simulations, we examine two representative scenarios: the preparation of
single-mode Fock states in the presence of spectator modes and the generation
of two-mode entangled Bell-cat states. Our approach markedly suppresses
crosstalk errors, outperforming conventional ancilla control methods by orders
of magnitude. These results provide guidance for experimentally achieving
high-fidelity multimode operations and pave the way for developing
high-performance bosonic quantum information processors.
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