Quantum memories and error correction

Abstract

Quantum states are inherently fragile, making their storage a major concern for many practical applications and experimental tests of quantum mechanics. The field of quantum memories is concerned with how this storage may be achieved, covering everything from the physical systems best suited to the task to the abstract methods that may be used to increase performance. This review concerns itself with the latter, giving an overview of error correction and self-correction, and how they may be used to achieve fault-tolerant quantum computation. The planar code is presented as a concrete example, both as a quantum memory and as a framework for quantum computation.

Review article for Journal of Modern Optics

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Cited by in corpus (21)

• Quantum Error Correction for Quantum Memories
• Prospective applications of optical quantum memories
• Quantum memories at finite temperature
• An efficient Markov chain Monte Carlo algorithm for the surface code
• Decoding non-Abelian topological quantum memories
• Feedback control in quantum optics: an overview of experimental breakthroughs and areas of application
• Improved HDRG decoders for qudit and non-Abelian quantum error correction
• A simple decoder for topological codes
• Kitaev spin models from topological nanowire networks
• A family of stabilizer codes for $D({\mathbb{Z}}_2)$ anyons and Majorana modes
• Tailoring quantum error correction to spin qubits
• Parafermions in a Kagome lattice of qubits for topological quantum computation
• Fault-tolerant Holonomic Quantum Computation in Surface Codes
• Active error correction for Abelian and non-Abelian anyons
• Universal quantum computation in the surface code using non-Abelian islands
• Effective quantum memory Hamiltonian from local two-body interactions
• A Fault-Tolerant Scheme of Holonomic Quantum Computation on Stabilizer Codes with Robustness to Low-weight Thermal Noise
• Novel Topological Phases and Self-Correcting Memories in Interacting Anyon Systems
• Non-perturbative Floquet engineering of the toric-code Hamiltonian and its ground state
• Strictly local one-dimensional topological quantum error correction with symmetry-constrained cellular automata
• Stabilizing Non-Abelian Topological Order against Heralded Noise via Local Lindbladian Dynamics