Bulletin of the American Physical Society
APS March Meeting 2019
Volume 64, Number 2
Monday–Friday, March 4–8, 2019; Boston, Massachusetts
Session F62: New Avenues for Quantum Error CorrectionFocus Invited

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Sponsoring Units: DQI Chair: Steven Girvin, Yale Univ Room: BCEC 258C 
Tuesday, March 5, 2019 11:15AM  11:51AM 
F62.00001: Faulttolerant quantum computation with few qubits Invited Speaker: Ben Reichardt Reliable qubits are difficult to engineer, but standard faulttolerance schemes use seven or more physical qubits to encode each logical qubit, with still more qubits required for error correction. We give spaceefficient methods for faulttolerant error correction and computation. 
Tuesday, March 5, 2019 11:51AM  12:27PM 
F62.00002: New prospects for faulttolerant quantum error correction with biasednoise catqubits Invited Speaker: Shruti Puri Exploiting the structure of noise or “noisebias” in physical qubits could improve the threshold and overhead requirements for faulttolerant quantum error correction. The challenge however is to be able to maintain the noise bias while performing elementary operations such as a CNOT gate. I will show how this challenge can be overcome by using the so called stabilized catqubits in a parametrically driven nonlinear oscillators. In such a qubit, the bitflip errors increase linearly with the size of the cat, while phaseflips are exponentially suppressed with the catsize. The stabilized catqubit, therefore, exhibits a strongly biasednoise channel. In fact, the phase of the drive determines a continuous family of biased noise catstates. I will discuss how a biaspreserving CNOT gate can be implemented with these catqubits by rotating them through the continuous family of the catstates in the phase space. I will also present a set of other biaspreserving operations that can be performed with the stabilized catqubit. These results provide a new direction for designing error correction codes with high thresholds and reduced overheads. 
Tuesday, March 5, 2019 12:27PM  1:03PM 
F62.00003: Experimental quantum error correction with binomial bosonic codes Invited Speaker: Luyan Sun Quantum error correction (QEC) is necessary for a practical quantum computer because of the fragile nature of quantum information. A measurementbased QEC requires rapid extraction of error syndromes without perturbing the encoded information and fast feedback control to correct the detected errors. Encoding quantum information on photonic states in a microwave cavity for QEC has attracted a lot of interests. This scheme benefits from the infinite dimensional Hilbert space of a harmonic oscillator for redundant information encoding and only one error syndrome that needs to be monitored, thus greatly reducing the requirements on hardware. In this talk, I will discuss our recent experimental efforts [1] toward both the repetitive QEC using a binomial bosonic code in a circuit quantum electrodynamics architecture and full control on the logical qubit. The demonstrated binomial bosonic codes promise the realization of QECenhanced precision measurements and quantum communications, and could also be further explored for faulttolerant quantum computation. 
Tuesday, March 5, 2019 1:03PM  1:39PM 
F62.00004: Scalable quantum error correction with the bosonic GKP code Invited Speaker: Barbara Terhal We review the bosonic GKP (GottesmanKitaevPreskill) code which encodes a qubit into an oscillator and its possible implementation in a microwave mode in circuitQED hardware. We discuss how GKP code states can be created from Schroedinger cat states or from a dispersive interaction with a qubit. We propose a scalable architecture which uses a surface code on top of the GKP qubits. For a noise model of Gaussian stochastic displacement errors, we discuss how to decode such toricGKP code and give estimates for the threshold standard deviation, corresponding to a low (4 or more) number of average photons in the GKP code states. 
Tuesday, March 5, 2019 1:39PM  2:15PM 
F62.00005: Encoding and controlling a GKP logical qubit in a trappedion oscillator Invited Speaker: Jonathan Home

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