Shruti Puri (Yale)
QIP Seminar @ MIT, 30-Nov-2018
1:30PM, 6C-402
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.
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