171 citations · 476 across the 14 of their papers we have counts for
14 papers
Biased-noise qubits: a guide to efficient fault-tolerance using the hierarchy of errors
Diego Ruiz, Jérémie Guillaud, Christophe Vuillot +1
Qubits with strongly biased noise, in which phase-flip errors are orders of magnitude more frequent than bit-flips, arise both naturally, as in electron and nuclear spins, and by e…
Quantum non-demolition measurements as a practical primitive for fault-tolerant computation against biased noise
Christophe Vuillot, Diego Ruiz, Jérémie Guillaud +1
Leveraging noise bias, where phase-flip errors dominate over bit-flips, can drastically reduce the hardware overhead of fault-tolerant quantum computation, but existing approaches…
Unfolded distillation: very low-cost magic state preparation for biased-noise qubits
Diego Ruiz, Jérémie Guillaud, Christophe Vuillot +1
Magic state distillation enables universal fault-tolerant quantum computation by implementing non-Clifford gates via the preparation of high-fidelity magic states. However, it come…
Enhancing dissipative cat qubit protection by squeezing
Rémi Rousseau, Diego Ruiz, Emanuele Albertinale +38
Dissipative cat-qubits are a promising architecture for quantum processors due to their built-in quantum error correction. By leveraging two-photon stabilization, they achieve an e…
LDPC-cat codes for low-overhead quantum computing in 2D
Diego Ruiz, Jérémie Guillaud, Anthony Leverrier +2
Quantum low-density parity-check (qLDPC) codes are a promising construction for drastically reducing the overhead of fault-tolerant quantum computing (FTQC) architectures. However,…
Performance Analysis of a Repetition Cat Code Architecture: Computing 256-bit Elliptic Curve Logarithm in 9 Hours with 126133 Cat Qubits
Élie Gouzien, Diego Ruiz, Francois-Marie Le Régent +2
Cat qubits provide appealing building blocks for quantum computing. They exhibit a tunable noise bias yielding an exponential suppression of bit flips with the average photon numbe…
High-performance repetition cat code using fast noisy operations
Francois-Marie Le Régent, Camille Berdou, Zaki Leghtas +2
Bosonic cat qubits stabilized by two-photon driven dissipation benefit from exponential suppression of bit-flip errors and an extensive set of gates preserving this protection. The…
Two-photon driven Kerr quantum oscillator with multiple spectral degeneracies
Diego Ruiz, Ronan Gautier, Jérémie Guillaud +1
Kerr nonlinear oscillators driven by a two-photon process are promising systems to encode quantum information and to ensure a hardware-efficient scaling towards fault-tolerant quan…
Quantum computation with cat qubits
Jérémie Guillaud, Joachim Cohen, Mazyar Mirrahimi
These are the lecture notes from the 2019 Les Houches Summer School on "Quantum Information Machines". After a brief introduction to quantum error correction and bosonic codes, we…
Error Rates and Resource Overheads of Repetition Cat Qubits
Jérémie Guillaud, Mazyar Mirrahimi
We estimate and analyze the error rates and the resource overheads of the repetition cat qubit approach to universal and fault-tolerant quantum computation. The cat qubits stabiliz…
The operator approach to entropy games
Marianne Akian, Stéphane Gaubert, Julien Grand-Clément +1
Entropy games and matrix multiplication games have been recently introduced by Asarin et al. They model the situation in which one player (Despot) wishes to minimize the growth rat…
Repetition Cat Qubits for Fault-Tolerant Quantum Computation
Jérémie Guillaud, Mazyar Mirrahimi
We present a 1D repetition code based on the so-called cat qubits as a viable approach toward hardware-efficient universal and fault-tolerant quantum computation. The cat qubits th…
Log-sum-exp neural networks and posynomial models for convex and log-log-convex data
Giuseppe C. Calafiore, Stephane Gaubert, Corrado Possieri
We show in this paper that a one-layer feedforward neural network with exponential activation functions in the inner layer and logarithmic activation in the output neuron is an uni…
Remote entanglement stabilization and distillation by quantum reservoir engineering
Nicolas Didier, Jérémie Guillaud, S. Shankar +1
Quantum information processing in a modular architecture requires the distribution, stabilization and distillation of entanglement in a qubit network. We present autonomous entangl…