Measurement-based quantum computation

@article{Briegel2009MeasurementbasedQC,
  title={Measurement-based quantum computation},
  author={Hans J. Briegel and Dan E. Browne and Wolfgang Dur and Robert Raussendorf and Maarten Van den Nest},
  journal={Nature Physics},
  year={2009},
  volume={5},
  pages={19-26}
}
Quantum computation offers a promising new kind of information processing, where the non-classical features of quantum mechanics are harnessed and exploited. A number of models of quantum computation exist. These models have been shown to be formally equivalent, but their underlying elementary concepts and the requirements for their practical realization can differ significantly. A particularly exciting paradigm is that of measurement-based quantum computation, where the processing of quantum… 

Measurement-Based Quantum Computation

  • T. Wei
  • Physics, Computer Science
    Oxford Research Encyclopedia of Physics
  • 2021
The measurement-based approach offers a potential alternative to the standard circuit approach to realize a practical quantum computer and provides useful connections to the emergence of time ordering, computational complexity and classical spin models, blind quantum computation, etc.

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References

SHOWING 1-10 OF 119 REFERENCES

An introduction to measurement based quantum computation

In the formalism of measurement based quantum computation we start with a given fixed entangled state of many qubits and perform computation by applying a sequence of measurements to designated

Measurement-based quantum computation beyond the one-way model

This work elaborates on the framework established in Gross and Eisert and discusses variants of Kitaev's toric code states as universal resources, and opens up a way of thinking of tailoring resource states to specific physical systems, such as cold atoms in optical lattices or linear optical systems.

Experimental one-way quantum computing

The implementation of Grover's search algorithm demonstrates that one-way quantum computation is ideally suited for such tasks.

Fault-tolerant quantum computation with cluster states

Two threshold theorems are proved which show that scalable fault-tolerant quantum computation may be achieved in implementations based on cluster states, provided the noise in the implementations is below some constant threshold value.

Demonstrating the viability of universal quantum computation using teleportation and single-qubit operations

It is shown that single quantum bit operations, Bell-basis measurements and certain entangled quantum states such as Greenberger–Horne–Zeilinger (GHZ) states are sufficient to construct a universal quantum computer.

MEASUREMENT-BASED QUANTUM COMPUTATION WITH CLUSTER STATES

The one-way quantum computer is described, a scheme of universal quantum computation that consists entirely of one-qubit measurements on a highly entangled multiparticle state, i.e. the cluster state, which proves the universality of the , and establishes the link to the network model — the common model of quantum computation.

The measurement calculus

A rigorous mathematical model underlying the one-way quantum computer is developed and a concrete syntax and operational semantics for programs, which are called patterns, are presented, and an algebra of these patterns derived from a denotational semantics are presented.

A scheme for efficient quantum computation with linear optics

It is shown that efficient quantum computation is possible using only beam splitters, phase shifters, single photon sources and photo-detectors and are robust against errors from photon loss and detector inefficiency.
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