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Q: Fachverband Quantenoptik und Photonik

Q 74: Quantum Information – Concepts and Methods

Q 74.7: Vortrag

Freitag, 6. März 2026, 12:30–12:45, P 10

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 scheme for two qubits (four states), which protects against errors in small shifts of the canonical variables position q and momentum p. Furthermore, we present a universal set of 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., Quantum Computation over Continuous Variables, Phys. Rev. Lett. 82, 1784-1787 (1999).

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

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