5 papers
Fault-Tolerant One-Shot Entanglement Generation with Constant-Sized Quantum Devices in the Plane
Dylan Harley, Robert Koenig
Consider a rectangular grid of qubits in 2D with single-qubit and nearest-neighbor two-qubit operations subject to local stochastic Pauli noise. At different length scales, this se…
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…
On the sampling complexity of coherent superpositions
Beatriz Dias, Robert Koenig
We consider the problem of sampling from the distribution of measurement outcomes when applying a POVM to a superposition of …