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Q: Fachverband Quantenoptik und Photonik

Q 68: Quantum Computing and Simulation II

Q 68.6: Vortrag

Freitag, 15. März 2024, 15:45–16:00, HS 1199

Two-qubit encoding strategy for a continuous quantum system — •Sebastian Luhn and Matthias Zimmermann — DLR e.V., Institut für Quantentechnologien, Ulm

Bosonic codes employ particular states of an infinite-dimensional Hilbert space to encode a qubit within a continuous quantum system. Despite the enormous resources available in a continuous quantum system [1], typical encodings only exist for single qubits [2]. Here we go one step further and present an encoding for two qubits (four states), which protects against errors in the shift of the canonical variables q and p. Furthermore, we present possible implementations of common single and two-qubit operations, based on particular symmetry operations for continuous quantum states represented by a square lattice in phase space.

[1] Lloyd, S. and Braunstein, S. (1999). Quantum Computation over Continuous Variables Phys. Rev. Letters, Vol. 82, No. 8

[2] Gottesman, D., Kitaev, A., and Preskill, J. (2001). Encoding a qubit in an oscillator. Phys. Rev. A, 64:012310

Keywords: continous quantum system; qubit encoding; error-correcting codes; bosonic systems