Gaussian breeding for encoding a qubit in propagating light

• URL: http://arxiv.org/abs/2212.05436v1
• Date: Sun, 11 Dec 2022 07:41:23 GMT
• Title: Gaussian breeding for encoding a qubit in propagating light
• Authors: Kan Takase, Kosuke Fukui, Akito Kawasaki, Warit Asavanant, Mamoru Endo, Jun-ichi Yoshikawa, Peter van Loock, Akira Furusawa
• Abstract summary: Practical quantum computing requires robust encoding of logical qubits in physical systems to protect fragile quantum information. Here, we propose Gaussian breeding that encodes arbitrary Gottesman-Kitaev-Preskill qubits in propagating light. Our simulations show that GKP qubits above a fault-tolerant threshold, including magic states'', can be generated with a high success probability and with a high fidelity exceeding 0.99.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Practical quantum computing requires robust encoding of logical qubits in physical systems to protect fragile quantum information. Currently, the lack of scalability limits the logical encoding in most physical systems, and thus the high scalability of propagating light can be a game changer for realizing a practical quantum computer. However, propagating light also has a drawback: the difficulty of logical encoding due to weak nonlinearity. Here, we propose Gaussian breeding that encodes arbitrary Gottesman-Kitaev-Preskill (GKP) qubits in propagating light. The key idea is the efficient and iterable generation of quantum superpositions by photon detectors, which is the most widely used nonlinear element in quantum propagating light. This formulation makes it possible to systematically create the desired qubits with minimal resources. Our simulations show that GKP qubits above a fault-tolerant threshold, including ``magic states'', can be generated with a high success probability and with a high fidelity exceeding 0.99. This result fills an important missing piece toward practical quantum computing.

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