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Quantum error correction for quantum memories
Active quantum error correction using qubit stabilizer codes has emerged as a promising,
but experimentally challenging, engineering program for building a universal quantum …
but experimentally challenging, engineering program for building a universal quantum …
Quantum memories at finite temperature
To use quantum systems for technological applications one first needs to preserve their
coherence for macroscopic time scales, even at finite temperature. Quantum error correction …
coherence for macroscopic time scales, even at finite temperature. Quantum error correction …
Diagnostics of mixed-state topological order and breakdown of quantum memory
Topological quantum memory can protect information against local errors up to finite error
thresholds. Such thresholds are usually determined based on the success of decoding …
thresholds. Such thresholds are usually determined based on the success of decoding …
Hardness of decoding quantum stabilizer codes
In this paper, we address the computational hardness of optimally decoding a quantum
stabilizer code. Much like classical linear codes, errors are detected by measuring certain …
stabilizer code. Much like classical linear codes, errors are detected by measuring certain …
Conservation laws and quantum error correction: Toward a generalized matching decoder
Decoding algorithms are essential to fault-tolerant quantum-computing architectures. In this
perspective we explore decoding algorithms for the surface code; a prototypical quantum …
perspective we explore decoding algorithms for the surface code; a prototypical quantum …
The stability of gapped quantum matter and error-correction with adiabatic noise
The codespace of a quantum error-correcting code can often be identified with the
degenerate ground-space within a gapped phase of quantum matter. We argue that the …
degenerate ground-space within a gapped phase of quantum matter. We argue that the …
Quantum error correction thresholds for the universal Fibonacci Turaev-Viro code
We consider a two-dimensional quantum memory of qubits on a torus which encode the
extended Fibonacci string-net code and devise strategies for error correction when those …
extended Fibonacci string-net code and devise strategies for error correction when those …
Decoherence and wavefunction deformation of non-Abelian topological order
The effect of decoherence on topological order (TO) has been most deeply understood for
the toric code, the paragon of Abelian TOs. We show that certain non-Abelian TOs can be …
the toric code, the paragon of Abelian TOs. We show that certain non-Abelian TOs can be …
Majorana braiding with thermal noise
We investigate the self-correcting properties of a network of Majorana wires, in the form of a
trijunction, in contact with a parity-preserving thermal environment. As opposed to the case …
trijunction, in contact with a parity-preserving thermal environment. As opposed to the case …
Nanowires: Exponential speedup in quantum computing
This review paper examines the crucial role of nanowires in the field of quantum computing,
highlighting their importance as versatile platforms for qubits and vital building blocks for …
highlighting their importance as versatile platforms for qubits and vital building blocks for …