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: Fault-tolerant quantum computation with few qubits Invited Speaker: Ben Reichardt Reliable qubits are difficult to engineer, but standard fault-tolerance schemes use seven or more physical qubits to encode each logical qubit, with still more qubits required for error correction. We give space-efficient methods for fault-tolerant error correction and computation. |
Tuesday, March 5, 2019 11:51AM - 12:27PM |
F62.00002: New prospects for fault-tolerant quantum error correction with biased-noise cat-qubits Invited Speaker: Shruti Puri Exploiting the structure of noise or “noise-bias” in physical qubits could improve the threshold and overhead requirements for fault-tolerant 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 cat-qubits in a parametrically driven non-linear oscillators. In such a qubit, the bit-flip errors increase linearly with the size of the cat, while phase-flips are exponentially suppressed with the cat-size. The stabilized cat-qubit, therefore, exhibits a strongly biased-noise channel. In fact, the phase of the drive determines a continuous family of biased noise cat-states. I will discuss how a bias-preserving CNOT gate can be implemented with these cat-qubits by rotating them through the continuous family of the cat-states in the phase space. I will also present a set of other bias-preserving operations that can be performed with the stabilized cat-qubit. 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 measurement-based 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 QEC-enhanced precision measurements and quantum communications, and could also be further explored for fault-tolerant 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 (Gottesman-Kitaev-Preskill) code which encodes a qubit into an oscillator and its possible implementation in a microwave mode in circuit-QED 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 toric-GKP 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 trapped-ion oscillator Invited Speaker: Jonathan Home
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