Generation of cluster states in optomechanical quantum systems

Abstract

We consider an optomechanical quantum system composed of a single cavity mode interacting with N mechanical resonators. We propose a scheme for generating continuous-variable graph states of arbitrary size and shape, including the so-called cluster states for universal quantum computation. The main feature of this scheme is that, differently from previous approaches, the graph states are hosted in the mechanical degrees of freedom rather than in the radiative ones. Specifically, via a 2N-tone laser drive, we engineer a linear Hamiltonian which is instrumental to dissipatively drive the system to the desired target state. The robustness of this scheme is assessed against finite interaction times and mechanical noise, confirming it as a valuable approach towards quantum state engineering for continuous-variable computation in a solid-state platform.

11 pages, 6 figures. v2: short section added, minor modifications, close to published version

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• Tracking Quantum Error Correction
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• Quantum State Reconstruction of an Oscillator Network in an Optomechanical Setting
• Multipartite Entanglement Swapping and Mechanical Cluster States
• Continuous variable multipartite vibrational entanglement
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• Higher-order interactions in quantum optomechanics: Revisiting theoretical foundations
• Arbitrary multimode Gaussian operations on mechanical cluster states
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• Error of an arbitrary single-mode Gaussian transformation on a weighted cluster state using a cubic phase gate
• Classical simulation and quantum resource theory of non-Gaussian optics
• Generation of stable Gaussian cluster states in optomechanical systems with multifrequency drives
• Multimode optomechanical system in the quantum regime
• Relative resilience to noise of standard and sequential approaches to measurement-based quantum computation
• Non-Gaussian macroscopic entanglement of motion in a hybrid electromechanical device
• Deterministic Gaussian conversion protocols for non-Gaussian single-mode resources