Universal Set of Scalable Dynamically Corrected Gates for Quantum Error Correction with Always-on Qubit Couplings

2012/09/13 by Amrit De, Leonid P. Pryadko
Computer Science · Physics and Astronomy · #Algorithm #Computer science #Dynamical decoupling #Error detection and correction #Fidelity #Ising model #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Zeno effect #Quantum and electron transport phenomena #Quantum computer #Quantum decoherence #Quantum error correction #Quantum gate #Quantum mechanics #Qubit #Set (abstract data type) #Statistical physics #Universal set #cond-mat.mes-hall #cond-mat.supr-con #quant-ph

paper · pdf · doi:10.1103/physrevlett.110.070503

arxiv created 2012/09/13 · openalex publication_date 2013/02/15 · arxiv updated 2013/03/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We construct a universal set of high fidelity quantum gates to be used on a sparse bipartite lattice with always-on Ising couplings. The gates are based on dynamical decoupling sequences using shaped pulses, they protect against low-frequency phase noise, and can be run in parallel on non-neighboring qubits. This makes them suitable for implementing quantum error correction with low-density parity check codes like the surface codes and their finite-rate generalizations. We illustrate the construction by simulating the quantum Zeno effect with the [[4, 2, 2]] toric code on a spin chain.

Citations

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