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Trapped Ion Quantum Computing Quantum Thermodynamics

Measurement-based quantum computation in finite one-dimensional systems: string order implies computational power

arXiv
Authors: Robert Raussendorf, Wang Yang, Arnab Adhikary

Year

2022

Paper ID

58526

Status

Preprint

Abstract Read

~2 min

Abstract Words

90

Citations

N/A

Abstract

We present a new framework for assessing the power of measurement-based quantum computation (MBQC) on short-range entangled symmetric resource states, in spatial dimension one. It requires fewer assumptions than previously known. The formalism can handle finitely extended systems (as opposed to the thermodynamic limit), and does not require translation-invariance. Further, we strengthen the connection between MBQC computational power and string order. Namely, we establish that whenever a suitable set of string order parameters is non-zero, a corresponding set of unitary gates can be realized with fidelity arbitrarily close to unity.

Why This Paper Matters

  • This paper contributes to the Quantum Thermodynamics research area in the Quantum Articles archive.
  • It adds a 2022 reference point for readers tracking recent quantum research.
  • We present a new framework for assessing the power of measurement-based quantum computation (MBQC) on short-range entangled symmetric resource states, in spatial dimension one.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2210.05089 [2] arXiv https://arxiv.org/abs/2210.05089 [3] Publisher https://arxiv.org/abs/2210.05089

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