Simple quantum error detection and correction for superconducting qubits

Abstract

We analyze simple quantum error detection and quantum error correction protocols relevant to current experiments with superconducting qubits. We show that for qubits with energy relaxation the repetitive N-qubit codes cannot be used for quantum error correction, but can be used for quantum error detection. In the latter case it is sufficient to use only two qubits for the encoding. In the analysis we demonstrate a useful technique of unraveling the qubit energy relaxation into "relaxation" and "no relaxation" scenarios. Also, we propose and numerically analyze several two-qubit algorithms for quantum error detection/correction, which can be readily realized at the present-day level of the phase qubit technology.

14 pages, 8 figures

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Cited by in corpus (10)

• Quantum information processing with superconducting circuits: a review
• Quantum feedback: theory, experiments, and applications
• Experimental recovery of a qubit from partial collapse
• Robust quantum state transfer using tunable couplers
• Reducing intrinsic decoherence in a superconducting circuit by quantum error detection
• Modulated longitudinal gates on encoded spin-qubits via curvature couplings to a superconducting cavity
• Implementing generalized measurements with superconducting qubits
• Effect of weak measurement on entanglement distribution over noisy channels
• Strategy for implementing stabilizer-based codes on solid-state qubits
• Break-even point of the quantum repetition code