Efficient quantum computation in a network with probabilistic gates and logical encoding
Johannes Borregaard, Anders S. S{\o}rensen, Ignacio Cirac and, Mikhail D. Lukin

TL;DR
This paper introduces a method combining heralded probabilistic gates with logical encoding to enable high-fidelity, deterministic quantum gates in a network, robust against photon loss, advancing quantum network scalability.
Contribution
It presents a novel approach integrating heralded gates with logical encoding for efficient, high-fidelity quantum computation in networks with probabilistic operations.
Findings
Achieves high-fidelity quantum gates using heralded operations and logical encoding.
Robust to photon loss, improving photonic quantum information processing.
Enables deterministic quantum gates in a probabilistic setting.
Abstract
A new approach to efficient quantum computation with probabilistic gates is proposed and analyzed in both a local and non-local setting. It combines heralded gates previously studied for atom or atom-like qubits with logical encoding from linear optical quantum computation in order to perform high fidelity quantum gates across a quantum network. The error-detecting properties of the heralded operations ensure high fidelity while the encoding makes it possible to correct for failed attempts such that deterministic and high-quality gates can be achieved. Importantly, this is robust to photon loss, which is typically the main obstacle to photonic based quantum information processing. Overall this approach opens a novel path towards quantum networks with atomic nodes and photonic links.
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