Universal quantum computation with optical four-component cat qubits

Abstract

We propose a teleportation-based scheme to implement a universal set of quantum gates with a four-component cat code, assisted by appropriate entangled resource states and photon number resolving detection. The four-component cat code features the ability to recover from single photon loss. Here, we propose a concrete procedure to correct the single photon loss, including detecting the single photon loss event and recovering the initial states. By concatenating with standard qubit error correcting codes, we estimate the loss threshold for fault-tolerant quantum computation and obtain a significant improvement over the two-component cat code.

5+22 pages, 5 figures, comments are welcome

References in corpus (4)

• Quantum Computing
• Surface codes: Towards practical large-scale quantum computation
• Fault-tolerant linear optical quantum computing with small-amplitude coherent states
• Evaluating Performance of Photon-Number-Resolving Detectors

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• Error suppression in multicomponent cat codes with photon subtraction and teleamplification
• Catability as a metric for evaluating superposed coherent states
• Engineering propagating cat states with driving-assisted cavity QED
• Entanglement, loss, and quantumness: When balanced beam splitters are best
• Photonic Hybrid Quantum Computing
• Linear-optical protocols for mitigating and suppressing noise in bosonic systems