5 papers · 1 filter
Composable logical gate error in approximate quantum error correction: reexamining gate implementations in Gottesman-Kitaev-Preskill codes
Lukas Brenner, Beatriz Dias, Robert Koenig
Quantifying the accuracy of logical gates is paramount in approximate error correction, where perfect implementations are often unachievable with the available set of physical oper…
Trading modes against energy
Lukas Brenner, Beatriz Dias, Robert Koenig
We ask how much energy is required to weakly simulate an -qubit quantum circuit (i.e., produce samples from its output distribution) by a unitary circuit in a hybrid qubit-oscil…
Qubit-oscillator-based gate implementations for approximate Gottesman-Kitaev-Preskill codes
Lukas Brenner, Beatriz Dias, Robert Koenig
We consider hybrid qubit-oscillator systems together with Gaussian, multi-qubit as well as qubit-controlled Gaussian unitaries. We propose implementations of logical gates for appr…
Factoring an integer with three oscillators and a qubit
Lukas Brenner, Libor Caha, Xavier Coiteux-Roy +1
A common starting point of traditional quantum algorithm design is the notion of a universal quantum computer with a scalable number of qubits. This convenient abstraction mirrors…
The complexity of Gottesman-Kitaev-Preskill states
Lukas Brenner, Libor Caha, Xavier Coiteux-Roy +1
We initiate the study of state complexity for continuous-variable quantum systems. Concretely, we consider a setup with bosonic modes and auxiliary qubits, where available operatio…