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valbert4 committed Sep 18, 2024
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Expand Up @@ -72,6 +72,8 @@ relations:
detail: 'Because square-lattice GKP error states are parameterized by two modular (i.e., periodic) variables of position and momentum, measuring one of the GKP stabilizers constrains the oscillator Hilbert space into that of a rotor.'
- code_id: hypercubic
detail: 'GKP codewords, when written in terms of coherent states, form a square lattice in phase space.'
- code_id: fusion
detail: 'GKP states can be used to perform computation in a fusion-based encoding \cite{manual:{Doherty, A., Gimeno-segovia, M., Litinski, D., Nickerson, N., Pant, M., Rudolph, T. and Sparrow, C., Psiquantum, Corp., 2024. GENERATION AND MEASUREMENT OF ENTANGLED SYSTEMS OF PHOTONIC GKP QUBITS. U.S. Patent Application 18/273,753.}}.'

#- code_id: toric_GKP
#detail: 'It is a concatenation that replace the physical qubits in toric code by GKP codes. Each physical qubit is replaced by a harmonic oscillator in GKP state \cite{doi:10.1103/PhysRevA.99.032344}. By using the GKP error information, the toric code threshold is improved from \(10%\) to \(14%\).'
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