Quantum error correction with dissipatively stabilized squeezed cat qubits

Abstract

Noise-biased qubits are a promising route toward significantly reducing the hardware overhead associated with quantum error correction. The squeezed cat code, a non-local encoding in phase space based on squeezed coherent states, is an example of a noise-biased (bosonic) qubit with exponential error bias. Here we propose and analyze the error correction performance of a dissipatively stabilized squeezed cat qubit. We find that for moderate squeezing the bit-flip error rate gets significantly reduced in comparison with the ordinary cat qubit while leaving the phase flip rate unchanged. Additionally, we find that the squeezing enables faster and higher-fidelity gates.

updated and accepted version

References in corpus (6)

• Array Programming with NumPy
• QuTiP 2: A Python framework for the dynamics of open quantum systems
• Confining the state of light to a quantum manifold by engineered two-photon loss
• Quantum harmonic oscillator state synthesis by reservoir engineering
• Optical synthesis of large-amplitude squeezed coherent-state superpositions with minimal resources
• Spin-motion entanglement and state diagnosis with squeezed oscillator wavepackets

Cited by in corpus (22)

• Approximate Autonomous Quantum Error Correction with Reinforcement Learning
• Hybrid Oscillator-Qubit Quantum Processors: Instruction Set Architectures, Abstract Machine Models, and Applications
• Fault-tolerant quantum computation by hybrid qubits with bosonic cat-code and single photons
• Quantum spherical codes
• Designing High-Fidelity Zeno Gates for Dissipative Cat Qubits
• Quantum communication on the bosonic loss-dephasing channel
• Certifiable Lower Bounds of Wigner Negativity Volume and Non-Gaussian Entanglement with Conditional Displacement Gates
• Analog information decoding of bosonic quantum LDPC codes
• Quantum memories for squeezed and coherent superpositions in a driven-dissipative nonlinear oscillator
• Harnessing two-photon dissipation for enhanced quantum measurement and control
• Bit-flip errors in dissipative cat qubits: second-order perturbation theory
• Stabilization of cat-state manifolds using nonlinear reservoir engineering
• All three-angle variants of Tsirelson's precession protocol, and improved bounds for wedge integrals of Wigner functions
• Viewing protected superconducting qubits through the lens of the cat qubit
• Linear optical quantum computing with a hybrid squeezed cat code
• A cat qubit stabilization scheme using a voltage biased Josephson junction
• Transport approach to quantum state tomography
• Cooling a Qubit using n Others
• Two- and three-mode squeezing in a three-qubit entangled system
• Circuit-level fault tolerance of cat codes
• A posteriori error estimates for the Lindblad master equation
• Quantum Error Correction with Superpositions of Squeezed Fock States