A5101966872- Quantum Computing Algorithms and Architecture
- Quantum Information and Cryptography
- Quantum-Dot Cellular Automata
- Neural Networks and Reservoir Computing
- Coding theory and cryptography
- Polynomial and algebraic computation
- Advanced Data Storage Technologies
- Advanced Fiber Laser Technologies
- Cryptography and Residue Arithmetic
- Quantum Mechanics and Applications
State Innovation Exchange
2023
École Normale Supérieure - PSL
2023
Sorbonne Université
2023
Centre National de la Recherche Scientifique
2023
Université Paris Sciences et Lettres
2023
Laboratoire de Physique de l'ENS
2023
École Normale Supérieure
2023
Abstract The main obstacle to large scale quantum computing are the errors present in every physical qubit realization. Correcting these requires a number of additional qubits. Two avenues reduce this overhead (i) low-density parity check (LDPC) codes requiring very few qubits correct (ii) cat where bit-flip exponentially suppressed by design. In work, we combine both approaches obtain an extremely low architecture. Assuming phase-flip error probability ϵ ≈ 0.1% per and operation, one...
Kerr nonlinear oscillators driven by a two-photon process are promising systems to encode quantum information and ensure hardware-efficient scaling towards fault-tolerant computation. In this paper, we show that an extra control parameter, the detuning of drive with respect oscillator resonance, plays crucial role in properties defined qubit. At specific values detuning, benefit from strong symmetries system, leading multiple degeneracies spectrum effective confinement Hamiltonian. Overall,...
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 number and protection against remaining phase errors can be ensured by simple repetition code. We here quantify cost code valuable guidance choice large scale architecture using cat realizing performance analysis based on computation discrete logarithms elliptic curve Shor's algorithm. By focusing 2D grid neighboring...
Dissipative cat-qubits are a promising architecture for quantum processors due to their built-in error correction. By leveraging two-photon stabilization, they achieve an exponentially suppressed bit-flip rate as the distance in phase-space between basis states increases, incurring only linear increase phase-flip rate. This property substantially reduces number of qubits required fault-tolerant computation. Here, we implement squeezing deformation cat qubit states, further extending time...
Quantum low-density parity-check (qLDPC) codes are a promising construction for drastically reducing the overhead of fault-tolerant quantum computing (FTQC) architectures. However, all known hardware implementations these require advanced technologies, such as long-range qubit connectivity, high-weight stabilizers, or multi-layered chip layouts. An alternative approach to reduce fault-tolerance is use bosonic cat qubits where bit-flip errors exponentially suppressed by design. In this work,...
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 number and protection against remaining phase errors can be ensured by simple repetition code. We here quantify cost code valuable guidance choice large scale architecture using cat realizing performance analysis based on computation discrete logarithms elliptic curve Shor's algorithm. By focusing 2D grid neighboring...
Kerr nonlinear oscillators driven by a two-photon process are promising systems to encode quantum information and ensure hardware-efficient scaling towards fault-tolerant computation. In this paper, we show that an extra control parameter, the detuning of drive with respect oscillator resonance, plays crucial role in properties defined qubit. At specific values detuning, benefit from strong symmetries system, leading multiple degeneracies spectrum effective confinement Hamiltonian. Overall,...