Protected gates for superconducting qubits

By Peter Brooks, Alexei Y. Kitaev, John Preskill. 2013

165 citations recorded by the source corpus.

We analyze the accuracy of quantum phase gates acting on “0-π qubits” in superconducting circuits, where the gates are protected against thermal and Hamiltonian noise by continuous-variable quantum error-correcting codes. The gates are executed by turning on and off a tunable Josephson coupling between an LC oscillator and a qubit or pair of qubits; assuming perfect qubits, we show that the gate errors are exponentially small when the oscillator's impedance √L/C is large compared to ℏ/4e^2≈1 kΩ. The protected gates are not computationally universal by themselves, but a scheme for universal fault-tolerant quantum computation can be constructed by combining them with unprotected noisy operations. We validate our analytic arguments with numerical simulations.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/709f85c72ab27217f0846f61621e6434465bb0af

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In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

Citations in the corpus

Dynamically protected cat-qubits: a new paradigm for universal quantum computation (2013, unknown): “While this work utilizes a combination of a drivendissipative process and continuous measurements to engineer and protect a qubit, another recent superconducting circuit proposal [12] utilizes a Hamiltonian-based qubit [13] and protected set of gates.”
Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe (2022, background): “For so-called 0–π qubits [95, 271] control pulses have been optimized that involve higher qubit levels during gate operation to circumvent the intrinsic protection qubit states given by the disjoint support of the low-lying wavefunctions [4].”
Introduction to quantum electromagnetic circuits (2016, background): “Linked to the question of Bloch oscillation are the proposals of circuits with topological protection from decoherence [51, 52].”