Fault-tolerance with Bosonic Qubits
Presented by Shruti Puri, Yale
With fault-tolerant quantum error correction it is possible to reliably perform arbitrarily long quantum computation as long as the error rate is below a threshold. One of the most popular error-correcting codes is the surface code in which the qubits are arranged on a 2D lattice. High error threshold and universal control with local operations make the surface code attractive for experimental realization. However, these advantages come at the cost of dauntingly large overheads in the number of physical qubits and gates. In this talk I will show how the surface code can be implemented with bosonic qubits, that is, qubits encoded in bosonic modes. Bosonic qubits have several desirable properties, such as low error rates and structured noise, which can be exploited to reduce overheads. I will discuss a particularly appealing bosonic qubit called the stabilized cat qubit. This qubit has in-built fault-tolerant protection against certain errors which leads to a highly asymmetric or biased noise channel. I will show how the surface code can be tailored to exploit the noise structure of the stabilized cat qubit in order to improve the threshold and reduce overhead requirements.
3:30 pm, Thursday, April 8, 2021
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