Fault-tolerant measurement-based quantum computing with continuous-variable cluster states.

By Nicolas C. Menicucci. Physical Review Letters, 2013

319 citations recorded by the source corpus.

A long-standing open question about Gaussian continuous-variable cluster states is whether they enable fault-tolerant measurement-based quantum computation. The answer is yes. Initial squeezing in the cluster above a threshold value of 20.5 dB ensures that errors from finite squeezing acting on encoded qubits are below the fault-tolerance threshold of known qubit-based error-correcting codes. By concatenating with one of these codes and using ancilla-based error correction, fault-tolerant measurement-based quantum computation of theoretically indefinite length is possible with finitely squeezed cluster states.

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

View Paper: https://www.semanticscholar.org/paper/feedade9439dd56c42b6f797ebff3fcb8816793d

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Citations in the corpus

Blueprint for a Scalable Photonic Fault-Tolerant Quantum Computer (2020, methodology): “While finiteenergy effects will be ever-present in any real implementation, the noise they introduce does not preclude GKP states from being useful for error correction and faulttolerant quantum computation [1, 64, 67].”
Harnessing the Power of the Second Quantum Revolution (2020, background): “Hybrid models that employ entangled-CV resource states, qubit encoding, and MBQC oﬀer unique approaches to digitization, with a potential route to fault tolerance [118].”
Fault-tolerant bosonic quantum error correction with the surface–Gottesman-Kitaev-Preskill code (2019, methodology): “Here, we compare the results obtained in this paper with previous works in [28–32].”
Quantum error correction for quantum memories (2013, unknown): “Menicucci (2014) showed how one can use a continuous-variable cluster state and homodyne measurements to perform quantum error correction on these approximate GKP (Gottesman, Kitaev, Preskill) code words and realize a universal set of gates assuming that the noise is due only to the finite amount…”
Fast universal control of an oscillator with weak dispersive coupling to a qubit (2021, background): “The finite energy square GKP code stabilizers and logical Pauli operators are defined as [4, 8, 23, 49, 50, 85]”