Title: Quantum Error Correction with Biased Noise Cat-Qubits

Abstract

Many physical systems exhibit error channels that are strongly biased, that is, one type of error

dominates the channel. Naively, in this case error correction becomes much easier and more

hardware efficient. However, maintaining the bias while performing gates which do not

commute with the dominant error is not possible with two-dimensional systems. In this talk, I

will demonstrate a way to circumvent this using the non-trivial topology of a continuous family

of Schrödinger cat-state qubits. These bosonic qubits can be experimentally realized in a

driven non-linear (Kerr) oscillator and exhibit a phase-flip rate that is exponentially suppressed

relative to the bit-flip rate. The phase of the drive provides a continuous parameter that permits

topologically-protected realization of CNOT gates in a bias-preserving manner. I will present all

the bias-preserving operations possible with these cat qubits and discuss how these can lead

to efficient quantum error correction codes.