Quantum information is prone to suffer from errors caused by the so-called decoherence,
which describes the loss in coherence of quantum states associated to their interactions with …

Quantum error correction protocols have been developed to offset the high sensitivity to
noise inherent in quantum systems. However, much is still unknown about the behavior of a …

Quantum technologies have shown immeasurable potential to effectively solve several
information processing tasks such as prime number factorization, unstructured database …

The Knill-Laflamme conditions distinguish exact quantum error correction codes, and they
have played a critical role in the discovery of state-of-the-art codes. However, the family of …

Abstract Analysis of quantum error correcting codes is typically done using a stochastic,
Pauli channel error model for describing the noise on physical qubits. However, it was …

Quantum error correcting codes typically do not account for quantum state transitions-
leakage-out of the computational subspace. Since these errors can last for multiple detection …

Quantum error correction protocols will play a central role in the realisation of quantum
computing; the choice of error correction code will influence the full quantum computing …

Quantum algorithms have the potential to provide exponential speedups over some of the
best known classical algorithms. These speedups may enable quantum devices to solve …

We investigate the performance of a quantum error-correcting code when pushed beyond its
intended capacity to protect against errors, presenting formulae for the probability of failure …

Due to the fragility of quantum mechanical effects, real quantum computers are plagued by
frequent noise effects that cause errors during computations. Quantum error-correcting …