A universal time-dependent control scheme for realizing arbitrary bosonic unitaries

• URL: http://arxiv.org/abs/2209.09396v1
• Date: Tue, 20 Sep 2022 00:41:44 GMT
• Title: A universal time-dependent control scheme for realizing arbitrary bosonic unitaries
• Authors: Ze-Liang Xiang, Diego Gonz\'alez Olivares, Juan Jos\'e Garc\'ia-Ripoll, Peter Rabl
• Abstract summary: We study the implementation of arbitrary unitary transformations between two sets of $N$ stationary bosonic modes. By controlling the individual couplings between the modes and the channel, an initial $N$-partite quantum state in register A can be released as a multi-photon wavepacket.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study the implementation of arbitrary unitary transformations between two sets of $N$ stationary bosonic modes, which are connected through a photonic quantum channel. By controlling the individual couplings between the modes and the channel, an initial $N$-partite quantum state in register A can be released as a multi-photon wavepacket and, successively, be reabsorbed in register B. Here we prove that there exists a set of control pulses that implement this transfer with arbitrarily high fidelity and, simultaneously, realize a pre-specified $N\times N$ unitary transformation between the two sets of modes. Moreover, we provide a numerical algorithm for constructing these control pulses and discuss the scaling and robustness of this protocol in terms of several illustrative examples. By being purely control-based and not relying on any adaptions of the underlying hardware, the presented scheme is extremely flexible and can find widespread applications, for example, for boson-sampling experiments, multi-qubit state transfer protocols or in continuous-variable quantum computing architectures.

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