Generation of Flying Logical Qubits using Generalized Photon Subtraction with Adaptive Gaussian Operations
arxiv(2024)
摘要
The generation of a logical qubit called the Gottesman-Kitaev-Preskill qubit
in an optical traveling wave is a major challenge for realizing large-scale
universal fault-tolerant optical quantum computers. Recently, probabilistic
generation of elementary GKP qubits has been demonstrated using photon number
measurements and homodyne measurements. However, the generation rate is only a
few Hz, and it will be difficult to generate fault-tolerant GKP qubits at a
practical rate unless success probability is significantly improved. Here, we
propose a method to efficiently synthesize GKP qubits from several quantum
states by adaptive Gaussian operations. In the initial state preparation that
utilizes photon number measurements, an adaptive operation allows any
measurement outcome above a certain threshold to be considered as a success.
This threshold is lowered by utilizing the generalized photon subtraction
method. The initial states are synthesized into a GKP qubit by homodyne
measurements and a subsequent adaptive operation. As a result, the single-shot
success probability of generating fault-tolerant GKP qubits in a realistic
scale system exceeds 10%, which is one million times better than previous
methods. This proposal will become a powerful tool for advancing optical
quantum computers from the proof-of-principle stage to practical application.
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