Universal time-dependent control scheme for realizing arbitrary linear bosonic transformations

Abstract

We study the implementation of arbitrary excitation-conserving linear 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 multiphoton wave packet 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 prespecified $N\times N$ 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 adaptations of the underlying hardware, the presented scheme is extremely flexible and can find widespread applications, for example, for boson-sampling experiments, multiqubit state transfer protocols or in continuous-variable quantum computing architectures.

7 pages, 4 figures + Supplemental Material (7 pages, 4 figure)

References in corpus (13)

• Chiral Quantum Optics
• An Elementary Quantum Network of Single Atoms in Optical Cavities
• Photonic Boson Sampling in a Tunable Circuit
• Quantum circuits with many photons on a programmable nanophotonic chip
• Boson sampling with 20 input photons in 60-mode interferometers at $10^{14}$ state spaces
• Fidelity of quantum operations
• Phonon-mediated quantum state transfer and remote qubit entanglement
• Nonreciprocal microwave signal processing with a Field-Programmable Josephson Amplifier
• Quantum State Transfer via Noisy Photonic and Phononic Waveguides
• Widely tunable on-chip microwave circulator for superconducting quantum circuits
• Intracity quantum communication via thermal microwave networks
• Storage and on-demand release of microwaves using superconducting resonators with tunable coupling
• High fidelity transfer of an arbitrary quantum state between harmonic oscillators

Cited by in corpus (7)

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• Fast quantum state transfer and entanglement preparation in strongly coupled bosonic systems
• Chiral excitation flows of a multinode network based on synthetic gauge fields
• Universal quantum control over bosonic network
• High fidelity macroscopic superposition states via shortcut to adiabaticity
• Time-delayed collective dynamics in waveguide QED and bosonic quantum networks