71 citations · 143 across the 10 of their papers we have counts for
11 papers
Quantum codes are quantized codes: Stabilizer codes from quantization over finite fields
Michael Zurel
We present a discrete analogue of geometric quantization over finite fields which, when applied to certain classical error-correcting codes, yields quantum error-correcting codes.…
High-threshold magic state distillation with quantum quadratic residue codes
Michael Zurel, Santanil Jana, Nadish de Silva
We present applications of quantum quadratic residue codes in magic state distillation. This includes showing that existing codes which are known to distill magic states, like the…
Basis-independent stabilizerness and maximally noisy magic states
Michael Zurel, Jack Davis
Absolutely stabilizer states are those that remain convex mixtures of stabilizer states after conjugation by any unitary. Here we give a characterization of such states for multipl…
Efficient classical simulation of quantum computation beyond Wigner positivity
Michael Zurel, Arne Heimendahl
We present the generalization of the CNC formalism, based on closed and noncontextual sets of Pauli observables, to the setting of odd-prime-dimensional qudits. By introducing new…
Simulation of quantum computation with magic states via Jordan-Wigner transformations
Michael Zurel, Lawrence Z. Cohen, Robert Raussendorf
Negativity in certain quasiprobability representations is a necessary condition for a quantum computational advantage. Here we define a quasiprobability representation exhibiting t…
Simulating quantum computation: how many "bits" for "it"?
Michael Zurel, Cihan Okay, Robert Raussendorf
A recently introduced classical simulation method for universal quantum computation with magic states operates by repeated sampling from probability functions [M. Zurel et al. PRL…